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[null,"●","Solve Problems Using Coordinates",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"𝒙","y","𝒍","w"]
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[null,{"$f":"CONCATENATE(\" Find midpoint m of a line joining a point to another (1ˢᵗ quadrant)\")","v":" Find midpoint m of a line joining a point to another (1ˢᵗ quadrant)"}]
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[null,{"$f":"CONCATENATE(\" Find midpoint m of a line joining a point to another (4 quadrants)\")","v":" Find midpoint m of a line joining a point to another (4 quadrants)"}]
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[null," Find a point dividing a line joining 2 others in a ratio (1ˢᵗ quadrant)"]
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[null," Find a point dividing a line joining 2 others in a ratio (4 quadrants)"]
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[null," Find 3 positions for a parallelogram’s 4ᵗʰ vertex given 3 vertices"]
[null," Find 3 vertices on 3 shapes given 2 vertices of a congruent shape"]
[null," Find point of intersection P of the two diagonals of a quadrilateral"]
[]
[null," Find a quadrilateral’s 4ᵗʰ vertex & area using symmetry & 3 vertices"]
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[null," Find a tilted square’s 2 missing vertices & centre C given 2 vertices"]
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[null," Find an isosceles triangle’s 3ʳᵈ vertex given 2 vertices & a region"]
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[null," Find 2 points defined by the ratio of their distances along a line"]
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[null," Find 3 points defined by the intersection & midpoints of 2 lines"]
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[null,{"$f":"CONCATENATE(\" Find \",AE2,\", \",AF2,\", u, v, total perimeter P & area A of a compound shape\")","v":" Find 𝒍, w, u, v, total perimeter P & area A of a compound shape"}]

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[null,null,"All content © eStarters Ltd 2020"]
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[null,null,"For more downloads and further information"]
[]
[null,null,"Visit the Trinity Maths website"]
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[null,null,"To contact us directly, email:     info@estarters.com"]
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[null,null,"Solve Problems Using Coordinates"]
[]
[null,null,"is № 4 of 12 free sample files from the"]
[]
[null,null,"178 Topic Files in Trinity Maths (Version 3) "]

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[null,null,"Identify 3 possible positions for its 4ᵗʰ vertex.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AZ2=1,$AT$12,-20)","v":-20},{"$f":"IF(AZ2=1,$AU$12,-20)","v":-20},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AV4","v":-20},{"$f":"AW4","v":-20},{"$f":"BL3-BL2","v":0},{"$f":"BM3-BM2","v":0},null,null,{"$f":"AV6","v":-20},{"$f":"AW6","v":-20},{"$f":"BR3-BR2","v":0},{"$f":"BS3-BS2","v":0},{"$f":"AV8","v":-20},{"$f":"AW8","v":-20},{"$f":"BV3-BV2","v":0},{"$f":"BW3-BW2","v":0},null,null,{"$f":"AV8","v":-20},{"$f":"AW8","v":-20},{"$f":"CB3-CB2","v":0},{"$f":"CC3-CC2","v":0}]
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[null,null,"Complete square JKLM. Locate its centre C.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,2,5,5,4,"x","x",0,1,0,0,0,0,0,0,0,0,0,0,0,1]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"draw two lines"]
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[null,null,"within the red region. Plot (i) A (ii) B (iii) C.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,80,0.35,{"$f":"$AZ$17","v":-2},{"$f":"IF(BE2=1,$BA$17,-20)","v":-20},{"$f":"AX4","v":-4.3},{"$f":"AY2","v":-0.7}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"if JKLM is",null,null,null,null,null,null,null,null,{"$f":"IF(AT6=1,\"a  \",IF(AT6=2,\"\",IF(AT6=3,\"\",IF(AT6=4,\"\",IF(AT6=5,\"\",IF(AT6=6,\"\",IF(AT6=7,\"an\")))))))","v":"an"},{"$f":"IF(AT6=7,\"iso-\",\"\")","v":"iso-"},null,null,null,null,null,{"$f":"IF(AZ15<105,AX6,AY6)","v":7},{"$f":"IF(AT6=1,\"delta (arrowhead)\",IF(AT6=2,\"a kite\",IF(AT6=3,\"a square\",IF(AT6=4,\"a rhombus\",IF(AT6=5,\"a parallelogram\",IF(AT6=6,\"a rectangle\",IF(AT6=7,\"sceles trapezium\")))))))","v":"sceles trapezium"},{"$f":"AZ15","v":125},0,{"$f":"1+MOD(AZ15-1,4)","v":1},{"$f":"5+MOD(AZ15-3,3)","v":7}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"intersection P of",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,0,{"$f":"IF($AU$8=1,$BE$15,-40)","v":-40},{"$f":"IF($AU$8=1,$BF$15,-40)","v":-40},1,{"$f":"IF(AU9=1,$BK$15,-40)","v":-40},{"$f":"IF(AU9=1,$BL$15,-40)","v":-40},{"$f":"IF(AU9=1,\"M\",\"\")","v":""},{"$f":"IF(BP15=1,0.35,IF(BP15=2,-0.35,IF(BP15=3,-0.35,IF(BP15=4,0.35))))","v":0.35},{"$f":"IF(BP15=1,0.35,IF(BP15=2,0.35,IF(BP15=3,-0.35,IF(BP15=4,-0.35))))","v":0.35},{"$f":"BK15+BB12","v":0.35},{"$f":"BL15+BC12","v":5.35},null,null,null,{"$f":"(BI11+BI10+BI9)/2","v":0},{"$f":"2*(BI12*BJ9*BJ10*BJ11)^0.5","v":0},{"$f":"BK9","v":-40},{"$f":"BL9","v":-40}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"its two diagonals",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AT14=1,\"\",IF(AT14=-1,\"-\",IF(AT14=1.5,AW2,IF(AT14=-1.5,AX2,BF2)))),\"x\",IF(AU14<0,\" – \",IF(AU14=0,\"\",\" + \")),IF(AU14=0,\"\",ABS(AU14)))","v":"4x – 12"},null,null,null,null,"P",{"$f":"IF($AU$12=1,AX14,-20)","v":-20},{"$f":"IF($AU$12=1,AY14,-20)","v":-20}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,9.8000000000000007,36.200000000000003,null,null,null,11,11,9.8000000000000007,28.400000000000002,null,null,null,7.8,6.85,9.8000000000000007,8.3500000000000014,null,null,null,null,null,null,11,11,9.8000000000000007,-2.5333333333333332]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,9.9,36.6,null,null,null,11,11,9.9,28.700000000000003,null,null,null,7.9,6.9250000000000007,9.9,8.4250000000000007,null,null,null,null,null,null,11,11,9.9,-2.5999999999999996]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,10,37,null,null,null,11,11,10,29,null,null,null,8,7,10,8.5,null,null,null,null,null,null,11,11,10,-2.6666666666666661]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.1,7.0749999999999993,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.1999999999999993,7.1499999999999995,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.3000000000000007,7.2250000000000005,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.4,7.3000000000000007,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.5,7.375,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.6,7.4499999999999993,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.6999999999999993,7.5249999999999995,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.8000000000000007,7.6000000000000005,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,8.9,7.6750000000000007,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9,7.75,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.1,7.8249999999999993,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.1999999999999993,7.8999999999999995,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.3000000000000007,7.9750000000000005,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF($U$4=1,X197,11)","v":11},11,null,null,null,null,null,{"$f":"IF($AB$4=1,AE197,11)","v":11},11,null,null,null,null,null,{"$f":"IF($AI$4=1,AL197,11)","v":9.4},8.0500000000000007,null,null,null,null,null,null,null,null,{"$f":"IF($AS$4=1,AV197,11)","v":11},11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.5,8.125,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.6,8.1999999999999993,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.6999999999999993,8.2749999999999986,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.8000000000000007,8.3500000000000014,null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,9.9,8.4250000000000007,null,null,null,null,null,null,null,null,{"$f":"IF($AS$4=1,AV202,11)","v":11},11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,11,11,null,null,null,null,null,11,11,null,null,null,null,null,10,{"$f":"IF($AI$4=1,AM203,11)","v":8.5},null,null,null,null,null,null,null,null,11,11]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"V24","v":11},{"$f":"W24","v":11},null,{"$f":"50*T226","v":105.88235294117648},{"$f":"ROUND(50*T226,0)","v":106},{"$f":"CONCATENATE(Y224-Z224)","v":"-0.117647058823522"},{"$f":"IF((ROUND(100*T226,6)-ROUND(100*T226,0))=0,\"•\",\"·\")","v":"·"},{"$f":"AC24","v":11},{"$f":"AD24","v":11},null,null,null,null,null,{"$f":"AJ24","v":-10},{"$f":"AK24","v":-6.5},null,null,null,null,null,null,null,null,{"$f":"AT24","v":11},{"$f":"AU24","v":11}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(T226)","v":"2.11764705882353"},null,null,null,null,{"$f":"50*T227","v":129.41176470588235},{"$f":"ROUND(50*T227,0)","v":129},{"$f":"CONCATENATE(Y225-Z225)","v":"0.411764705882348"},{"$f":"IF((ROUND(100*T227,6)-ROUND(100*T227,0))=0,\"•\",\"·\")","v":"·"},null,null,null,null,null,null,null,null,null,null,null,{"$f":"AC15","v":6},{"$f":"(19-AD15)/2","v":-3},{"$f":"AJ15","v":7},{"$f":"(19-AK15)/2","v":-1},{"$f":"AQ15","v":10},{"$f":"(19-AR15)/2","v":1},{"$f":"BA15","v":21},{"$f":"(19-BB15)/2","v":4}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"D24","v":2.1176470588235294},{"$f":"ABS(T226)","v":2.1176470588235294},{"$f":"IF(T226<0,\"−\",\"\")","v":""},{"$f":"ROUNDDOWN(U226,0)","v":2},{"$f":"ROUND(U226-W226,3)","v":0.11799999999999999},{"$f":"IF(X226=T228,U228,IF(X226=T229,U229,IF(X226=T230,U230,IF(X226=T231,U231,IF(X226=T232,U232,IF(X226=T233,U233,IF(X226=T234,U234,X226)))))))","v":0.11799999999999999},{"$f":"IF(Y226=T235,U235,IF(Y226=T236,U236,Y226))","v":0.11799999999999999},{"$f":"IF(Z226=X226,CONCATENATE(V226,W226+Z226),IF(W226=0,CONCATENATE(V226,Z226),CONCATENATE(V226,W226,Z226)))","v":"2.118"},{"$f":"IF(X226=$T$228,\"*\",IF(X226=$T$229,\"*\",IF(X226=$T$230,\"*\",IF(X226=$T$231,\"*\",IF(X226=$T$232,\"*\",IF(X226=$T$233,\"*\",IF(X226=$T$234,\"*\",AB224)))))))","v":"·"},{"$f":"IF(Y226=$T$235,\"*\",IF(Y226=$T$236,\"*\",AB226))","v":"·"},{"$f":"IF(T226=ROUND(T226,0),\"ⁿ\",AC226)","v":"·"},null,null,null,null,null,null,null,null,null,{"$f":"IF(AN225=1,AO225,V223)","v":11},{"$f":"IF(AN225=1,IF($U$4=1,11,-22),W223)","v":11},{"$f":"IF(AP225=1,AQ225,AC223)","v":11},{"$f":"IF(AP225=1,IF($AB$4=1,11,-22),AD223)","v":11},{"$f":"IF(AR225=1,AS225,AJ223)","v":10},{"$f":"IF(AR225=1,IF($AI$4=1,11,-22),AK223)","v":8.5},{"$f":"IF(AS4=1,P7,-11)","v":-11},{"$f":"IF(AS4=1,Q7,-11)","v":-11}]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.125,"⅛",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AC15=1,CONCATENATE(\"    x = \",AO225),CONCATENATE(\"    y = \",AA8,AB8,AC8,AD8))","v":"    y = 4x − 3"},null,{"$f":"IF(AJ15=1,CONCATENATE(\"    x = \",AQ225),CONCATENATE(\"    y = \",AH8,AI8,AJ8,AK8))","v":"    y = 3x − 1"},null,{"$f":"IF(AQ15=1,CONCATENATE(\"= \",AS225),CONCATENATE(\"= \",AO8,AP8,AQ8,AR8))","v":"= ¾x + 1"},null,{"$f":"IF(BA15=1,CONCATENATE(\"= \",AU225),CONCATENATE(\"= \",AY8,AZ8,BA8,BB8))","v":"= -⅔x + 4"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.25,"¼",null,null,null,{"$f":"50*T227","v":129.41176470588235}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.33300000000000002,"⅓",null,null,null,{"$f":"ROUND(50*T227,0)","v":129}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.375,"⅜",null,null,null,{"$f":"CONCATENATE(Y225-Z225)","v":"0.411764705882348"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5,"½"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.625,"⅝"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.66700000000000004,"⅔"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.75,"¾"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.875,"⅞"]

{"sheet":"THREEREX","index":17,"n_rows":79,"n_cols":69,"rows_kept":79,"cut":false,"hidden":false,"merged":[]}
[null,0,0]
[null,null,{"$f":"CONCATENATE(\"Find \",AW2,\", w, u, v, total perimeter P and area A.\")","v":"Find 𝒍, w, u, v, total perimeter P and area A."},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AU2/2","v":1},{"$f":"AV2/2","v":1},2,2,{"$f":"MENU!AE2","v":"𝒍"},"w",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Three identical rectangles are shown with only"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AU3/2","v":3},{"$f":"AV3/2","v":2},6,4,{"$f":"CONCATENATE(AW2,\",\")","v":"𝒍,"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"select coordinates given. Find ℓ, w, M, A and P."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AS2+AS3+AT3","v":6},{"$f":"AT2+AS3","v":4},0,null,{"$f":"CONCATENATE(6,$AW$2,\" + \",2,AX2)","v":"6𝒍 + 2w"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"The 3 rectangles are identical. Find M, A and P."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AS2+AS3+AS3","v":7},{"$f":"AT2+AS3+AT3","v":6},{"$f":"AS11","v":1},{"$f":"AT11","v":1},{"$f":"CONCATENATE(4,$AW$2,\" + \",4,AX2)","v":"4𝒍 + 4w"},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"I see 3 identical shapes. Find length ℓ, width w,"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"find JKLM’s area ",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"BA15","v":-2},{"$f":"ROUND(BB15*1,4)","v":11},{"$f":"-1/AT14","v":0.5},{"$f":"BD15","v":3.5},null,null,null,2,{"$f":"BA14+1","v":3},{"$f":"BB14+1","v":4},5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51]
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[null,null,"points lie on. Write it in the form y = mx + c"]
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[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.125,"⅛",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(AC15=1,CONCATENATE(\"    x = \",AO225),CONCATENATE(\"    y = \",AA8,AB8,AC8,AD8))","v":"    y = 4x – 3"},null,{"$f":"IF(AJ15=1,CONCATENATE(\"    x = \",AQ225),CONCATENATE(\"    y = \",AH8,AI8,AJ8,AK8))","v":"    y = 3x – 1"},null,{"$f":"IF(AQ15=1,CONCATENATE(\"    x = \",AS225),CONCATENATE(\"    y = \",AO8,AP8,AQ8,AR8))","v":"    y = 2x + 2"},null,{"$f":"IF(BA15=1,CONCATENATE(\"    x = \",AU225),CONCATENATE(\"    y = \",AY8,AZ8,BA8,BB8))","v":"    y = 2x + 1"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.25,"¼",null,null,null,{"$f":"50*T227","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.33300000000000002,"⅓",null,null,null,{"$f":"ROUND(50*T227,0)","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.375,"⅜",null,null,null,{"$f":"CONCATENATE(Y225-Z225)","v":"0"}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.5,"½"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.625,"⅝"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.66700000000000004,"⅔"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.75,"¾"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0.875,"⅞"]

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[]
[null,null,"Find the equation of the straight-line all four",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,1]
[null,null,"points lie on. Write it in the form y = mx + c"]
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[null,null,"Put the (x, y) values in order,",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"the gradient",null,null,null,null,null,null,null,null,"m",null,"=","Δy"]
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[]
[null,null,"x",null,null,null,null,null,{"$f":"MIN(BG23:BJ23)","v":3},null,null,null,null,null,{"$f":"I8+1","v":4},null,null,null,null,null,{"$f":"O8+1","v":5},null,null,null,null,null,{"$f":"U8+1","v":6}]
[null,null,"y",null,null,null,null,null,{"$f":"IF(I8=BG23,BO23,IF(I8=BH23,BP23,IF(I8=BI23,BQ23,BR23)))","v":14},null,null,null,null,null,{"$f":"IF(O8=BG23,BO23,IF(O8=BH23,BP23,IF(O8=BI23,BQ23,BR23)))","v":18},null,null,null,null,null,{"$f":"IF(U8=BG23,BO23,IF(U8=BH23,BP23,IF(U8=BI23,BQ23,BR23)))","v":22},null,null,null,null,null,{"$f":"IF(AA8=BG23,BO23,IF(AA8=BH23,BP23,IF(AA8=BI23,BQ23,BR23)))","v":26}]
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[]
[null,null,"Find c",null,null,null,null,null,null,null,"y","=","mx + c",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(\"sub’ in \",IF(AX4>AX6,BS23,BT23),\"\")","v":"sub’ in (3, 14)"},"and",null,null,null,null,"m","=",{"$f":"CONCATENATE(BB23)","v":"4"}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AX4>AX6,BO23,BP23))","v":"14"},"=",{"$f":"CONCATENATE(BB23,\"×\",IF(AX4>AX6,BG23,BH23),\" + c\")","v":"4×3 + c"}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AX4>AX6,BO23,BP23))","v":"14"},"=",{"$f":"CONCATENATE(IF(AR2=4,ROUND(BC23*(IF(AX4>AX6,BG23,BH23)),2),CQ74),\" + c\")","v":"12 + c"}]
[null,null,null,null,null,null,null,null,null,null,{"$f":"CONCATENATE(IF(AX4>AX6,BO23,BP23),CO74,IF(AR2=3,CQ79,CP79))","v":"14 – 12"},"=","c"]
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[]
[]
[]
[]
[]
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{"sheet":"QUAD","index":27,"n_rows":270,"n_cols":72,"rows_kept":270,"cut":false,"hidden":true,"merged":[[7,10,7,16],[230,24,230,28],[48,57,48,63],[49,57,49,63],[228,24,228,28],[229,24,229,28]]}
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[null,null,"Draw each equation of a straight-line graph.",null,null,null,null,null,null,null,null,null,null,null,{"$f":"L1","v":180},null,null,null,"x","y"]
[null,null,"Name the quadrilateral formed. Find its area.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"IF(BA15=1,W6+99,W6+U3)","v":98},99,null,null,"x","y",null,null,null,null,null,"x","y",null,null,null,null,null,"x","y",null,null,null,null,null,null,null,null,"x","y"]
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[null,null,null,"xi","yi","//?",null,null,null,-5,5,null,null,null,null,null,null,null,0,{"$f":"IF(AJ15=1,W14+99,W14+U11)","v":102},99,null,null,-9.3000000000000007,23.6,null,null,null,null,null,-9.3000000000000007,3,null,null,null,null,null,-9.3000000000000007,40.200000000000003,null,null,null,null,null,null,null,null,-9.3000000000000007,-1,null,null,null,null,null,null,7,"3x³ ","+ 3x² ","3x² ","+ 3x ","3x ","+ 6","6",3,3,3,6,3,1]
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[null,null,null,null,null,null,null,182,19,9,6,9,19,25,8,29,32,"trapezium"]
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[null,null,null,null,null,null,null,190,19,21,25,27,19,27,29,25,6,"trapezium"]
[null,null,null,null,null,null,null,191,19,23,24,27,19,27,30,11,11,"trapezium"]
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[null,null,null,null,null,null,null,194,19,15,16,13,19,13,9,19,4,"trapezium"]
[null,null,null,null,null,null,null,195,19,17,18,15,19,15,9,25,7,"trapezium"]
[null,null,null,null,null,null,null,196,1,21,5,9,1,19,7,19,4,"trapezium"]
[null,null,null,null,null,null,null,197,1,21,6,9,1,19,8,21,5,"trapezium"]
[null,null,null,null,null,null,null,198,1,25,7,9,1,21,8,9,4,"trapezium"]
[null,null,null,null,null,null,null,199,1,15,8,25,1,11,9,29,10,"trapezium"]
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[null,null,null,null,null,null,null,201,1,25,12,15,1,13,16,23,24,"trapezium"]
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[null,null,"Draw each equation of a straight-line graph.",null,null,null,null,null,null,null,null,null,null,null,{"$f":"L1","v":145},null,null,null,"x","y"]
[null,null,"Name the triangle formed. Find its area.",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,0,{"$f":"IF(BA15=1,W6+99,W6+U3)","v":-4},0,null,null,"x","y",null,null,null,null,null,"x","y",null,null,null,null,null,"x","y",null,null,null,null,null,null,null,null,"x","y"]
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[null,null,"T",{"$f":"QUAD!BA15","v":19},{"$f":"QUAD!BB15","v":21},{"$f":"QUAD!AQ15","v":32},{"$f":"QUAD!AR15","v":13},{"$f":"QUAD!AJ15","v":19},{"$f":"QUAD!AK15","v":13}]
[null,null,1,2,9,36,9,19,25,null,null,8,"isosceles "]
[null,null,2,3,13,35,13,19,27,null,null,7,"isosceles "]
[null,null,3,4,13,34,13,19,25,null,null,6,"isosceles "]
[null,null,4,5,17,33,17,19,27,null,null,5,"isosceles "]
[null,null,5,6,9,32,9,19,25,null,null,16,"isosceles "]
[null,null,6,7,21,31,9,19,27,null,null,12,"isosceles "]
[null,null,7,8,25,30,9,19,25,null,null,8,"isosceles "]
[null,null,8,10,17,28,17,1,29,null,null,20,"isosceles "]
[null,null,9,11,21,27,21,1,27,null,null,12,"isosceles "]
[null,null,10,12,25,26,17,1,25,null,null,24,"isosceles "]
[null,null,11,13,23,25,23,1,29,null,null,15,"isosceles "]
[null,null,12,14,23,24,19,1,27,null,null,18,"isosceles "]
[null,null,13,15,25,1,29,23,25,null,null,10,"isosceles "]
[null,null,14,16,17,1,25,22,13,null,null,12,"isosceles "]
[null,null,15,17,13,1,27,21,13,null,null,4,"isosceles "]
[null,null,16,18,23,1,29,20,23,null,null,5,"isosceles "]
[null,null,17,20,13,19,11,18,13,null,null,5,"isosceles "]
[null,null,18,21,17,19,15,17,17,null,null,4,"isosceles "]
[null,null,19,22,25,19,23,16,25,null,null,3,"isosceles "]
[null,null,20,23,25,19,21,15,25,null,null,10,"isosceles "]
[null,null,21,24,25,19,23,14,25,null,null,2,"isosceles "]
[null,null,22,26,15,19,11,12,15,null,null,6,"isosceles "]
[null,null,23,27,21,19,15,11,21,null,null,12,"isosceles "]
[null,null,24,28,23,19,15,10,23,null,null,20,"isosceles "]
[null,null,25,30,13,1,11,8,29,null,null,8,"isosceles "]
[null,null,26,31,13,1,15,7,25,null,null,3,"isosceles "]
[null,null,27,32,13,1,15,6,29,null,null,4,"isosceles "]
[null,null,28,33,9,1,15,5,29,null,null,5,"isosceles "]
[null,null,29,7,19,29,27,16,19,null,null,4,"isosceles "]
[null,null,30,8,25,29,25,14,13,null,null,24,"isosceles "]
[null,null,31,31,19,9,11,22,19,null,null,4,"isosceles "]
[null,null,32,30,13,9,13,24,25,null,null,24,"isosceles "]
[null,null,33,7,27,29,19,16,27,null,null,4,"isosceles "]
[null,null,34,8,29,29,17,14,29,null,null,6,"isosceles "]
[null,null,35,31,11,9,19,22,11,null,null,4,"isosceles "]
[null,null,36,30,17,9,29,24,17,null,null,6,"isosceles "]
[null,null,37,2,27,1,17,19,27,null,null,8,"right-angled "]
[null,null,38,3,29,1,17,19,29,null,null,7,"right-angled "]
[null,null,39,4,27,1,17,19,27,null,null,6,"right-angled "]
[null,null,40,5,19,1,17,19,29,null,null,10,"right-angled "]
[null,null,41,6,19,1,17,19,27,null,null,8,"right-angled "]
[null,null,42,7,17,1,17,19,23,null,null,6,"right-angled "]
[null,null,43,8,13,1,17,19,29,null,null,25,"right-angled "]
[null,null,44,10,19,1,29,19,11,null,null,40,"right-angled "]
[null,null,45,11,23,1,27,19,17,null,null,24,"right-angled "]
[null,null,46,1,25,12,17,19,13,null,null,12,"right-angled "]
[null,null,47,1,29,13,17,19,11,null,null,30,"right-angled "]
[null,null,48,1,27,14,23,19,21,null,null,9,"right-angled "]
[null,null,49,1,29,15,21,19,17,null,null,20,"right-angled "]
[null,null,50,1,25,16,13,19,11,null,null,6,"right-angled "]
[null,null,51,1,27,17,15,19,13,null,null,8,"right-angled "]
[null,null,52,1,29,18,15,19,13,null,null,10,"right-angled "]
[null,null,53,1,29,20,23,19,25,null,null,10,"right-angled "]
[null,null,54,1,27,21,23,19,25,null,null,8,"right-angled "]
[null,null,55,1,13,22,27,19,25,null,null,6,"right-angled "]
[null,null,56,1,9,23,25,19,21,null,null,20,"right-angled "]
[null,null,57,1,11,24,25,19,23,null,null,9,"right-angled "]
[null,null,58,1,9,25,23,19,17,null,null,30,"right-angled "]
[null,null,59,1,13,26,21,19,17,null,null,12,"right-angled "]
[null,null,60,1,11,27,21,19,15,null,null,24,"right-angled "]
[null,null,61,1,9,28,21,19,13,null,null,40,"right-angled "]
[null,null,62,1,17,30,25,19,9,null,null,25,"right-angled "]
[null,null,63,1,21,31,17,19,23,null,null,6,"right-angled "]
[null,null,64,7,29,22,9,1,19,null,null,15,"right-angled "]
[null,null,65,8,29,24,9,1,15,null,null,5,"right-angled "]
[null,null,66,8,29,24,9,1,19,null,null,20,"right-angled "]
[null,null,67,31,29,16,9,1,19,null,null,15,"right-angled "]
[null,null,68,30,29,14,9,1,19,null,null,20,"right-angled "]
[null,null,69,30,29,14,9,1,23,null,null,5,"right-angled "]
[null,null,70,9,11,19,21,29,11,null,null,25,"right-angled isosceles "]
[null,null,71,9,25,19,25,29,17,null,null,4,"right-angled isosceles "]
[null,null,72,9,21,19,27,29,17,null,null,16,"right-angled isosceles "]
[null,null,73,9,17,19,15,29,9,null,null,1,"right-angled isosceles "]
[null,null,74,9,21,19,23,29,13,null,null,9,"right-angled isosceles "]
[null,null,75,9,21,1,27,29,17,null,null,25,"right-angled isosceles "]
[null,null,76,9,17,1,29,29,21,null,null,16,"right-angled isosceles "]
[null,null,77,9,25,1,17,29,9,null,null,9,"right-angled isosceles "]
[null,null,78,9,25,1,15,29,9,null,null,4,"right-angled isosceles "]
[null,null,79,9,29,1,17,29,21,null,null,1,"right-angled isosceles "]
[null,null,80,9,23,19,13,29,23,null,null,25,"right-angled isosceles "]
[null,null,81,9,23,19,15,29,23,null,null,16,"right-angled isosceles "]
[null,null,82,9,21,19,11,29,13,null,null,9,"right-angled isosceles "]
[null,null,83,9,17,19,9,29,9,null,null,4,"right-angled isosceles "]
[null,null,84,9,15,19,11,29,11,null,null,1,"right-angled isosceles "]
[null,null,85,9,13,1,15,29,25,null,null,25,"right-angled isosceles "]
[null,null,86,9,9,1,19,29,25,null,null,16,"right-angled isosceles "]
[null,null,87,9,9,1,21,29,25,null,null,9,"right-angled isosceles "]
[null,null,88,9,9,1,23,29,25,null,null,4,"right-angled isosceles "]
[null,null,89,9,13,1,25,29,29,null,null,1,"right-angled isosceles "]
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[null,null,110,8,21,19,21,9,15,null,null,9,"scalene"]
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[null,null,126,7,13,1,23,8,13,null,null,2,"scalene"]
[null,null,127,8,29,1,17,9,19,null,null,8,"scalene"]
[null,null,128,9,19,1,29,10,17,null,null,10,"scalene"]
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[null,null,143,3,27,29,27,7,19,null,null,4,"scalene"]
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[null,null,147,17,23,21,27,11,27,null,null,8,"scalene"]
[null,null,148,9,23,16,27,8,27,null,null,5,"scalene"]
[null,null,149,25,15,30,29,16,15,null,null,7,"scalene"]
[null,null,150,36,27,28,27,9,9,null,null,18,"scalene"]
[null,null,151,4,23,26,23,9,13,null,null,10,"scalene"]
[null,null,152,29,15,20,23,13,15,null,null,20,"scalene"]
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[null,null,154,35,27,9,27,31,19,null,null,4,"scalene",143]
[null,null,155,36,27,15,27,29,13,null,null,21,"scalene",144]
[null,null,156,8,27,24,27,11,17,null,null,20,"right-angled ",145]
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[null,null,158,21,23,17,27,27,27,null,null,8,"scalene",147]
[null,null,159,29,23,22,27,30,27,null,null,5,"scalene",148]
[null,null,160,13,15,8,29,22,15,null,null,7,"scalene",149]
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[null,null,163,9,15,18,23,25,15,null,null,20,"scalene",152]
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[null,null,55,19,15,31,9,19,27,7,9,24,"isosceles trapezium"]
[null,null,56,19,17,32,9,19,25,6,9,12,"isosceles trapezium"]
[null,null,57,33,9,19,19,19,29,5,9,15,"isosceles trapezium"]
[null,null,58,29,25,19,23,19,27,9,17,8,"isosceles trapezium"]
[null,null,59,24,9,19,11,19,13,14,9,6,"isosceles trapezium"]
[null,null,60,19,9,30,21,19,17,8,21,16,"isosceles trapezium"]
[null,null,61,19,17,7,29,19,23,31,29,9,"isosceles trapezium"]
[null,null,62,33,29,19,19,19,9,5,29,15,"isosceles trapezium"]
[null,null,63,29,13,19,15,19,11,9,21,8,"isosceles trapezium"]
[null,null,64,24,15,19,11,19,13,14,15,6,"isosceles trapezium"]
[null,null,65,10,21,1,19,28,17,1,29,30,"isosceles trapezium"]
[null,null,66,7,27,1,19,1,17,31,9,6,"isosceles trapezium"]
[null,null,67,8,29,1,17,1,15,30,11,3,"isosceles trapezium"]
[null,null,68,11,9,1,19,1,27,27,29,28,"isosceles trapezium"]
[null,null,69,12,13,1,13,1,25,26,25,36,"isosceles trapezium"]
[null,null,70,13,15,1,19,1,9,25,23,35,"isosceles trapezium"]
[null,null,71,14,11,1,27,1,15,24,27,42,"isosceles trapezium"]
[null,null,72,15,9,1,19,1,29,23,19,15,"isosceles trapezium"]
[null,null,73,16,25,1,13,1,25,22,13,36,"isosceles trapezium"]
[null,null,74,17,27,1,11,1,27,21,15,48,"isosceles trapezium"]
[null,null,75,18,13,1,9,20,21,1,29,40,"isosceles trapezium"]
[null,null,76,19,13,9,11,1,25,9,19,16,"isosceles trapezium"]
[null,null,77,19,27,9,25,1,13,9,17,24,"isosceles trapezium"]
[null,null,78,24,23,9,23,30,11,9,11,18,"isosceles trapezium"]
[null,null,79,22,25,9,25,31,9,9,17,12,"isosceles trapezium"]
[null,null,80,20,25,9,25,33,13,9,13,18,"isosceles trapezium"]
[null,null,81,14,15,9,15,8,9,9,19,12,"isosceles trapezium"]
[null,null,82,16,19,9,19,7,11,9,23,8,"isosceles trapezium"]
[null,null,83,18,17,9,17,5,9,9,25,16,"isosceles trapezium"]
[null,null,84,8,25,19,13,8,9,19,25,24,"parallelogram"]
[null,null,85,7,27,19,15,7,9,19,27,18,"parallelogram"]
[null,null,86,6,25,19,9,6,9,19,25,16,"parallelogram"]
[null,null,87,5,9,19,9,5,29,19,29,20,"parallelogram"]
[null,null,88,4,11,19,23,4,23,19,11,6,"parallelogram"]
[null,null,89,3,11,19,25,3,25,19,11,7,"parallelogram"]
[null,null,90,2,11,19,27,2,27,19,11,8,"parallelogram"]
[null,null,91,9,15,19,15,9,25,19,21,15,"parallelogram"]
[null,null,92,10,13,19,13,10,21,19,21,20,"parallelogram"]
[null,null,93,11,17,19,17,11,23,19,23,12,"parallelogram"]
[null,null,94,12,21,19,21,12,25,19,25,6,"parallelogram"]
[null,null,95,13,17,19,17,13,23,19,23,15,"parallelogram"]
[null,null,96,14,13,19,13,14,17,19,17,8,"parallelogram"]
[null,null,97,15,25,19,25,15,21,19,21,10,"parallelogram"]
[null,null,98,16,27,19,29,16,29,19,27,3,"parallelogram"]
[null,null,99,17,25,19,23,17,23,19,25,4,"parallelogram"]
[null,null,100,18,11,19,13,18,13,19,11,5,"parallelogram"]
[null,null,101,19,25,20,25,19,27,20,27,5,"parallelogram"]
[null,null,102,19,23,21,23,19,25,21,25,4,"parallelogram"]
[null,null,103,19,15,22,13,19,13,22,15,3,"parallelogram"]
[null,null,104,19,17,23,13,19,13,23,17,10,"parallelogram"]
[null,null,105,19,17,24,13,19,13,24,17,8,"parallelogram"]
[null,null,106,19,23,25,17,19,17,25,23,15,"parallelogram"]
[null,null,107,19,11,26,15,19,15,26,11,6,"parallelogram"]
[null,null,108,19,21,27,15,19,15,27,21,12,"parallelogram"]
[null,null,109,19,21,28,13,19,13,28,21,20,"parallelogram"]
[null,null,110,19,25,30,9,19,13,30,29,30,"parallelogram"]
[null,null,111,19,27,31,9,19,15,31,27,18,"parallelogram"]
[null,null,112,19,25,32,9,19,17,32,25,8,"parallelogram"]
[null,null,113,19,29,33,9,19,9,33,29,20,"parallelogram"]
[null,null,114,19,29,35,15,19,15,35,29,7,"parallelogram"]
[null,null,115,5,9,1,19,5,19,1,21,5,"parallelogram"]
[null,null,116,6,29,1,19,6,21,1,17,4,"parallelogram"]
[null,null,117,7,15,1,23,7,9,1,21,3,"parallelogram"]
[null,null,118,8,15,1,25,8,9,1,21,6,"parallelogram"]
[null,null,119,9,25,1,23,9,11,1,17,21,"parallelogram"]
[null,null,120,11,19,1,27,11,15,1,11,16,"parallelogram"]
[null,null,121,12,25,1,25,12,15,1,13,30,"parallelogram"]
[null,null,122,23,25,1,29,23,15,1,9,50,"parallelogram"]
[null,null,123,25,21,1,29,25,17,1,9,20,"parallelogram"]
[null,null,124,27,21,1,27,27,15,1,11,24,"parallelogram"]
[null,null,125,28,21,1,29,28,17,1,9,20,"parallelogram"]
[null,null,126,19,13,1,11,19,21,1,23,24,"rectangle"]
[null,null,127,19,25,1,11,19,21,1,13,2,"rectangle"]
[null,null,128,19,29,1,29,19,23,1,21,12,"rectangle"]
[null,null,129,19,11,1,27,19,17,1,17,15,"rectangle"]
[null,null,130,19,11,1,9,19,25,1,15,21,"rectangle"]
[null,null,131,1,17,19,9,1,15,19,29,10,"rectangle"]
[null,null,132,1,17,19,11,1,21,19,29,18,"rectangle"]
[null,null,133,1,27,19,9,1,21,19,27,27,"rectangle"]
[null,null,134,1,29,19,11,1,17,19,21,30,"rectangle"]
[null,null,135,31,29,16,9,31,9,16,29,30,"rectangle"]
[null,null,136,30,29,14,9,30,9,14,29,40,"rectangle"]
[null,null,137,29,27,9,11,29,11,9,23,24,"rectangle"]
[null,null,138,24,27,8,17,24,17,8,27,10,"rectangle"]
[null,null,139,22,29,7,29,22,9,7,9,30,"rectangle"]
[null,null,140,19,27,1,27,19,13,1,11,56,"rectangle"]
[null,null,141,19,23,1,29,19,11,1,11,54,"rectangle"]
[null,null,142,19,21,1,25,19,11,1,11,35,"rectangle"]
[null,null,143,19,27,1,23,19,11,1,11,48,"rectangle"]
[null,null,144,19,29,1,23,19,11,1,9,63,"rectangle"]
[null,null,145,19,29,1,29,19,9,1,11,90,"rectangle"]
[null,null,146,19,27,1,29,19,11,1,9,80,"rectangle"]
[null,null,147,19,25,1,29,19,11,1,9,70,"rectangle"]
[null,null,148,19,23,1,25,19,11,1,11,42,"rectangle"]
[null,null,149,19,23,1,29,19,13,1,11,45,"rectangle"]
[null,null,150,19,17,1,27,19,13,1,13,14,"rectangle"]
[null,null,151,8,9,24,19,8,29,24,9,20,"square"]
[null,null,152,9,9,29,29,9,29,29,9,50,"square"]
[null,null,153,9,11,29,27,9,27,29,11,32,"square"]
[null,null,154,9,13,29,25,9,25,29,13,18,"square"]
[null,null,155,9,15,29,23,9,23,29,15,8,"square"]
[null,null,156,9,17,29,21,9,21,29,17,2,"square"]
[null,null,157,9,19,29,15,9,15,29,11,2,"square"]
[null,null,158,9,25,29,17,9,17,29,9,8,"square"]
[null,null,159,9,25,29,21,9,13,29,9,18,"square"]
[null,null,160,9,29,29,25,9,13,29,9,32,"square"]
[null,null,161,14,29,30,29,14,19,30,9,20,"square"]
[null,null,162,14,9,30,29,14,19,30,9,20,"square"]
[null,null,163,14,9,30,9,14,19,30,29,20,"square"]
[null,null,164,19,21,6,21,19,29,30,17,10,"trapezium"]
[null,null,165,19,21,6,21,19,29,30,9,18,"trapezium"]
[null,null,166,19,21,6,29,19,29,30,9,14,"trapezium"]
[null,null,167,19,21,6,29,19,29,30,13,10,"trapezium"]
[null,null,168,19,21,9,17,19,27,31,15,15,"trapezium"]
[null,null,169,19,15,9,13,19,21,31,9,12,"trapezium"]
[null,null,170,19,13,10,13,19,21,30,9,18,"trapezium"]
[null,null,171,19,13,10,13,19,21,29,11,22,"trapezium"]
[null,null,172,19,17,12,17,19,21,29,11,11,"trapezium"]
[null,null,173,19,15,13,15,19,21,31,9,12,"trapezium"]
[null,null,174,19,21,13,21,19,27,29,17,18,"trapezium"]
[null,null,175,19,23,14,23,19,27,30,15,9,"trapezium"]
[null,null,176,19,13,14,13,19,17,30,9,7,"trapezium"]
[null,null,177,19,13,15,13,19,17,30,9,8,"trapezium"]
[null,null,178,19,23,16,21,19,21,29,17,4,"trapezium"]
[null,null,179,19,17,18,15,19,15,29,9,6,"trapezium"]
[null,null,180,19,21,32,13,19,13,30,9,6,"trapezium"]
[null,null,181,19,21,6,21,19,29,8,13,10,"trapezium"]
[null,null,182,19,9,6,9,19,25,8,29,32,"trapezium"]
[null,null,183,19,17,32,25,19,25,30,9,14,"trapezium"]
[null,null,184,19,17,29,25,19,23,31,11,12,"trapezium"]
[null,null,185,19,15,9,13,19,21,7,27,12,"trapezium"]
[null,null,186,19,13,28,21,19,21,30,13,14,"trapezium"]
[null,null,187,19,13,10,13,19,21,9,15,6,"trapezium"]
[null,null,188,19,29,26,25,19,21,29,19,12,"trapezium"]
[null,null,189,19,17,25,23,19,23,31,11,12,"trapezium"]
[null,null,190,19,21,25,27,19,27,29,25,6,"trapezium"]
[null,null,191,19,23,24,27,19,27,30,11,11,"trapezium"]
[null,null,192,19,13,24,17,19,17,30,9,7,"trapezium"]
[null,null,193,19,13,23,17,19,17,30,9,8,"trapezium"]
[null,null,194,19,15,16,13,19,13,9,19,4,"trapezium"]
[null,null,195,19,17,18,15,19,15,9,25,7,"trapezium"]
[null,null,196,1,21,5,9,1,19,7,19,4,"trapezium"]
[null,null,197,1,21,6,9,1,19,8,21,5,"trapezium"]
[null,null,198,1,25,7,9,1,21,8,9,4,"trapezium"]
[null,null,199,1,15,8,25,1,11,9,29,10,"trapezium"]
[null,null,200,1,27,11,15,1,11,21,27,48,"trapezium"]
[null,null,201,1,25,12,15,1,13,16,23,24,"trapezium"]
[null,null,202,1,29,10,19,1,9,13,23,20,"trapezium"]
[null,null,203,1,29,15,21,1,9,18,27,30,"trapezium"]
[null,null,204,1,25,16,13,1,13,26,23,30,"trapezium"]
[null,null,205,1,27,17,17,1,11,24,25,32,"trapezium"]
[null,null,206,1,27,21,11,1,11,24,15,16,"trapezium"]
[null,null,207,1,25,22,21,1,13,26,25,12,"trapezium"]
[null,null,208,1,9,23,13,1,29,25,17,20,"trapezium"]
[null,null,209,null,null,null,null,null,null,null,null,null,"arrowhead or delta"]
[null,null,210]
[null,null,211]
[null,null,212]
[null,null,213]
[null,null,214]
[null,null,215]
[null,null,216]
[null,null,217]
[null,null,218]
[null,null,219]
[null,null,220]
[null,null,221]
[null,null,222]
[null,null,223]
[null,null,224]
[null,null,225]
[null,null,226]
[null,null,227]
[null,null,228]
[null,null,229]
[null,null,230]
[null,null,231]
[null,null,232]
[null,null,233]
[null,null,234]
[null,null,235]
[null,null,236]
[null,null,237]
[null,null,238]
[null,null,239]
[null,null,240]
[null,null,241]
[null,null,242]
[null,null,243]
[null,null,244]
[null,null,245]
[null,null,246]
[null,null,247]
[null,null,248]
[null,null,249]
[null,null,250]
[null,null,251]
[null,null,252]
[null,null,253]
[null,null,254]
[null,null,255]
[null,null,256]
[null,null,257]
[null,null,258]
[null,null,259]
[null,null,260]
[null,null,261]
[null,null,262]
[null,null,263]
[null,null,264]
[null,null,265]
[null,null,266]
[null,null,267]
[null,null,268]
[null,null,269]
[null,null,270]
[null,null,271]
[null,null,272]
[null,null,273]
[null,null,274]
[null,null,275]
[null,null,276]
[null,null,277]
[null,null,278]
[null,null,279]
[null,null,280]
[null,null,281]
[null,null,282]
[null,null,283]
[null,null,284]
[null,null,285]
[null,null,286]
[null,null,287]
[null,null,288]
[null,null,289]
[null,null,290]
[null,null,291]
[null,null,292]
[null,null,293]
[null,null,294]
[null,null,295]
[null,null,296]
[null,null,297]
[null,null,298]
[null,null,299]
[null,null,300]
[null,null,301]
[null,null,302]
[null,null,303]
[null,null,304]
[null,null,305]
[null,null,306]
[null,null,307]
[null,null,308]
[null,null,309]
[null,null,310]
[null,null,311]
[null,null,312]
[null,null,313]
[null,null,314]
[null,null,315]
[null,null,316]
[null,null,317]
[null,null,318]
[null,null,319]
[null,null,320]
[null,null,321]
[null,null,322]
[null,null,323]
[null,null,324]
[null,null,325]
[null,null,326]
[null,null,327]
[null,null,328]
[null,null,329]
[null,null,330]
[null,null,331]
[null,null,332]
[null,null,333]
[null,null,334]
[null,null,335]
[null,null,336]
[null,null,337]
[null,null,338]
[null,null,339]
[null,null,340]
[null,null,341]
[null,null,342]
[null,null,343]
[null,null,344]
[null,null,345]
[null,null,346]
[null,null,347]
[null,null,348]
[null,null,349]
[null,null,350]
[null,null,351]
[null,null,352]
[null,null,353]
[null,null,354]
[null,null,355]
[null,null,356]
[null,null,357]
[null,null,358]
[null,null,359]
[null,null,360]
[null,null,361]
[null,null,362]
[null,null,363]
[null,null,364]
[null,null,365]
[null,null,366]
[null,null,367]
[null,null,368]
[null,null,369]
[null,null,370]
[null,null,371]
[null,null,372]
[null,null,373]
[null,null,374]
[null,null,375]
[null,null,376]
[null,null,377]
[null,null,378]
[null,null,379]
[null,null,380]
[null,null,381]
[null,null,382]
[null,null,383]
[null,null,384]
[null,null,385]
[null,null,386]
[null,null,387]
[null,null,388]
[null,null,389]
[null,null,390]
[null,null,391]
[null,null,392]
[null,null,393]
[null,null,394]
[null,null,395]
[null,null,396]
[null,null,397]
[null,null,398]
[null,null,399]
[null,null,400]
[null,null,401]
[null,null,402]
[null,null,403]
[null,null,404]
[null,null,405]
[null,null,406]
[null,null,407]
[null,null,408]
[null,null,409]
[null,null,410]
[null,null,411]
[null,null,412]
[null,null,413]
[null,null,414]
[null,null,415]
[null,null,416]
[null,null,417]
[null,null,418]
[null,null,419]
[null,null,420]
[null,null,421]
[null,null,422]
[null,null,423]
[null,null,424]
[null,null,425]
[null,null,426]
[null,null,427]
[null,null,428]
[null,null,429]
[null,null,430]
[null,null,431]
[null,null,432]
[null,null,433]
[null,null,434]
[null,null,435]
[null,null,436]
[null,null,437]
[null,null,438]
[null,null,439]
[null,null,440]
[null,null,441]
[null,null,442]
[null,null,443]
[null,null,444]
[null,null,445]
[null,null,446]
[null,null,447]
[null,null,448]
[null,null,449]
[null,null,450]
[null,null,451]
[null,null,452]
[null,null,453]
[null,null,454]
[null,null,455]
[null,null,456]
[null,null,457]
[null,null,458]
[null,null,459]
[null,null,460]
[null,null,461]
[null,null,462]
[null,null,463]
[null,null,464]
[null,null,465]
[null,null,466]
[null,null,467]
[null,null,468]
[null,null,469]
[null,null,470]
[null,null,471]
[null,null,472]
[null,null,473]
[null,null,474]
[null,null,475]
[null,null,476]
[null,null,477]
[null,null,478]
[null,null,479]
[null,null,480]
[null,null,481]
[null,null,482]
[null,null,483]
[null,null,484]
[null,null,485]
[null,null,486]
[null,null,487]
[null,null,488]
[null,null,489]
[null,null,490]
[null,null,491]
[null,null,492]
[null,null,493]
[null,null,494]
[null,null,495]
[null,null,496]
[null,null,497]
[null,null,498]
[null,null,499]
[null,null,500]
[null,null,501]
[null,null,502]
[null,null,503]
[null,null,504]
[null,null,505]
[null,null,506]
[null,null,507]
[null,null,508]
[null,null,509]
[null,null,510]
[null,null,511]
[null,null,512]
[null,null,513]
[null,null,514]
[null,null,515]
[null,null,516]
[null,null,517]
[null,null,518]
[null,null,519]
[null,null,520]
[null,null,521]
[null,null,522]
[null,null,523]
[null,null,524]
[null,null,525]
[null,null,526]
[null,null,527]
[null,null,528]
[null,null,529]
[null,null,530]
[null,null,531]
[null,null,532]
[null,null,533]
[null,null,534]
[null,null,535]
[null,null,536]
[null,null,537]
[null,null,538]
[null,null,539]
[null,null,540]
[null,null,541]
[null,null,542]
[null,null,543]
[null,null,544]
[null,null,545]
[null,null,546]
[null,null,547]
[null,null,548]
[null,null,549]
[null,null,550]
[null,null,551]
[null,null,552]
[null,null,553]
[null,null,554]
[null,null,555]
[null,null,556]
[null,null,557]
[null,null,558]
[null,null,559]
[null,null,560]
[null,null,561]
[null,null,562]
[null,null,563]
[null,null,564]