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Grid Moves Practice

Grid Moves Practice
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2020-07-21 02:47
Coordinate GeometryTransformationGeometric Construction
This example demonstrates grid moves. It involves geometric transformations. Using GeoGebra commands such as Line, Sequence, Point, and Polygon, the transformed shapes can be constructed. Suitable for middle school students to practice geometric transformations.

GeoGebra Commands & Parameters

  1. Line((0.10200305670430834, 0.18943424816514842), (0.6020030567043083, 1.0554596519495867)) → f
  2. Line((1, 0), (0.5, sqrt(3) / 2)) → g
  3. Sequence(Line[(t, 0), f], t, -100, 100) → l1, {-0.8660254037844383x = 86.60254037844382, -0.8660254037844383x = 85.73651497465939, -0.8660254037844383x = 84.87048957087495, -0.8660254037844383x = 84.00446416709052, -0.8660254037844383x = 83.13843876330607, -0.8660254037844383x = 82.27241335952164, -0.8660254037844383x = 81.4063879557372, -0.8660254037844383x = 80.54036255195275, -0.8660254037844383x = 79.67433714816832, -0.8660254037844383x = 78.80831174438389, -0.8660254037844383x = 77.94228634059944, -0.8660254037844383x = 77.076260936815, -0.8660254037844383x = 76.21023553303057, -0.8660254037844383x = 75.34421012924614, -0.8660254037844383x = 74.47818472546169, -0.8660254037844383x = 73.61215932167725, -0.8660254037844383x = 72.74613391789282, -0.8660254037844383x = 71.88010851410837, -0.8660254037844383x = 71.01408311032394, -0.8660254037844383x = 70.1480577065395, -0.8660254037844383x = 69.28203230275506, -0.8660254037844383x = 68.41600689897062, -0.8660254037844383x = 67.54998149518619, -0.8660254037844383x = 66.68395609140174, -0.8660254037844383x = 65.8179306876173, -0.8660254037844383x = 64.95190528383287, -0.8660254037844383x = 64.08587988004844, -0.8660254037844383x = 63.21985447626399, -0.8660254037844383x = 62.353829072479556, -0.8660254037844383x = 61.487803668695115, -0.8660254037844383x = 60.62177826491068, -0.8660254037844383x = 59.75575286112624, -0.8660254037844383x = 58.8897274573418, -0.8660254037844383x = 58.023702053557365, -0.8660254037844383x = 57.157676649772924, -0.8660254037844383x = 56.29165124598849, -0.8660254037844383x = 55.42562584220405, -0.8660254037844383x = 54.55960043841961, -0.8660254037844383x = 53.693575034635174, -0.8660254037844383x = 52.82754963085073, -0.8660254037844383x = 51.9615242270663, -0.8660254037844383x = 51.09549882328186, -0.8660254037844383x = 50.22947341949742, -0.8660254037844383x = 49.36344801571298, -0.8660254037844383x = 48.49742261192854, -0.8660254037844383x = 47.63139720814411, -0.8660254037844383x = 46.76537180435967, -0.8660254037844383x = 45.899346400575226, -0.8660254037844383x = 45.03332099679079, -0.8660254037844383x = 44.16729559300635, -0.8660254037844383x = 43.30127018922191, -0.8660254037844383x = 42.435244785437476, -0.8660254037844383x = 41.569219381653035, -0.8660254037844383x = 40.7031939778686, -0.8660254037844383x = 39.83716857408416, -0.8660254037844383x = 38.97114317029972, -0.8660254037844383x = 38.105117766515285, -0.8660254037844383x = 37.239092362730844, -0.8660254037844383x = 36.37306695894641, -0.8660254037844383x = 35.50704155516197, -0.8660254037844383x = 34.64101615137753, -0.8660254037844383x = 33.774990747593094, -0.8660254037844383x = 32.90896534380865, -0.8660254037844383x = 32.04293994002422, -0.8660254037844383x = 31.176914536239778, -0.8660254037844383x = 30.31088913245534, -0.8660254037844383x = 29.4448637286709, -0.8660254037844383x = 28.578838324886462, -0.8660254037844383x = 27.712812921102024, -0.8660254037844383x = 26.846787517317587, -0.8660254037844383x = 25.98076211353315, -0.8660254037844383x = 25.11473670974871, -0.8660254037844383x = 24.24871130596427, -0.8660254037844383x = 23.382685902179833, -0.8660254037844383x = 22.516660498395396, -0.8660254037844383x = 21.650635094610955, -0.8660254037844383x = 20.784609690826517, -0.8660254037844383x = 19.91858428704208, -0.8660254037844383x = 19.052558883257642, -0.8660254037844383x = 18.186533479473205, -0.8660254037844383x = 17.320508075688764, -0.8660254037844383x = 16.454482671904326, -0.8660254037844383x = 15.588457268119889, -0.8660254037844383x = 14.72243186433545, -0.8660254037844383x = 13.856406460551012, -0.8660254037844383x = 12.990381056766575, -0.8660254037844383x = 12.124355652982135, -0.8660254037844383x = 11.258330249197698, -0.8660254037844383x = 10.392304845413259, -0.8660254037844383x = 9.526279441628821, -0.8660254037844383x = 8.660254037844382, -0.8660254037844383x = 7.7942286340599445, -0.8660254037844383x = 6.928203230275506, -0.8660254037844383x = 6.062177826491068, -0.8660254037844383x = 5.196152422706629, -0.8660254037844383x = 4.330127018922191, -0.8660254037844383x = 3.464101615137753, -0.8660254037844383x = 2.5980762113533147, -0.8660254037844383x = 1.7320508075688765, -0.8660254037844383x = 0.8660254037844383, -0.8660254037844383x = 0, -0.8660254037844383x = -0.8660254037844383, -0.8660254037844383x = -1.7320508075688765, -0.8660254037844383x = -2.5980762113533147, -0.8660254037844383x = -3.464101615137753, -0.8660254037844383x = -4.330127018922191, -0.8660254037844383x = -5.196152422706629, -0.8660254037844383x = -6.062177826491068, -0.8660254037844383x = -6.928203230275506, -0.8660254037844383x = -7.7942286340599445, -0.8660254037844383x = -8.660254037844382, -0.8660254037844383x = -9.526279441628821, -0.8660254037844383x = -10.392304845413259, -0.8660254037844383x = -11.258330249197698, -0.8660254037844383x = -12.124355652982135, -0.8660254037844383x = -12.990381056766575, -0.8660254037844383x = -13.856406460551012, -0.8660254037844383x = -14.72243186433545, -0.8660254037844383x = -15.588457268119889, -0.8660254037844383x = -16.454482671904326, -0.8660254037844383x = -17.320508075688764, -0.8660254037844383x = -18.186533479473205, -0.8660254037844383x = -19.052558883257642, -0.8660254037844383x = -19.91858428704208, -0.8660254037844383x = -20.784609690826517, -0.8660254037844383x = -21.650635094610955, -0.8660254037844383x = -22.516660498395396, -0.8660254037844383x = -23.382685902179833, -0.8660254037844383x = -24.24871130596427, -0.8660254037844383x = -25.11473670974871, -0.8660254037844383x = -25.98076211353315, -0.8660254037844383x = -26.846787517317587, -0.8660254037844383x = -27.712812921102024, -0.8660254037844383x = -28.578838324886462, -0.8660254037844383x = -29.4448637286709, -0.8660254037844383x = -30.31088913245534, -0.8660254037844383x = -31.176914536239778, -0.8660254037844383x = -32.04293994002422, -0.8660254037844383x = -32.90896534380865, -0.8660254037844383x = -33.774990747593094, -0.8660254037844383x = -34.64101615137753, -0.8660254037844383x = -35.50704155516197, -0.8660254037844383x = -36.37306695894641, -0.8660254037844383x = -37.239092362730844, -0.8660254037844383x = -38.105117766515285, -0.8660254037844383x = -38.97114317029972, -0.8660254037844383x = -39.83716857408416, -0.8660254037844383x = -40.7031939778686, -0.8660254037844383x = -41.569219381653035, -0.8660254037844383x = -42.435244785437476, -0.8660254037844383x = -43.30127018922191, -0.8660254037844383x = -44.16729559300635, -0.8660254037844383x = -45.03332099679079, -0.8660254037844383x = -45.899346400575226, -0.8660254037844383x = -46.76537180435967, -0.8660254037844383x = -47.63139720814411, -0.8660254037844383x = -48.49742261192854, -0.8660254037844383x = -49.36344801571298, -0.8660254037844383x = -50.22947341949742, -0.8660254037844383x = -51.09549882328186, -0.8660254037844383x = -51.9615242270663, -0.8660254037844383x = -52.82754963085073, -0.8660254037844383x = -53.693575034635174, -0.8660254037844383x = -54.55960043841961, -0.8660254037844383x = -55.42562584220405, -0.8660254037844383x = -56.29165124598849, -0.8660254037844383x = -57.157676649772924, -0.8660254037844383x = -58.023702053557365, -0.8660254037844383x = -58.8897274573418, -0.8660254037844383x = -59.75575286112624, -0.8660254037844383x = -60.62177826491068, -0.8660254037844383x = -61.487803668695115, -0.8660254037844383x = -62.353829072479556, -0.8660254037844383x = -63.21985447626399, -0.8660254037844383x = -64.08587988004844, -0.8660254037844383x = -64.95190528383287, -0.8660254037844383x = -65.8179306876173, -0.8660254037844383x = -66.68395609140174, -0.8660254037844383x = -67.54998149518619, -0.8660254037844383x = -68.41600689897062, -0.8660254037844383x = -69.28203230275506, -0.8660254037844383x = -70.1480577065395, -0.8660254037844383x = -71.01408311032394, -0.8660254037844383x = -71.88010851410837, -0.8660254037844383x = -72.74613391789282, -0.8660254037844383x = -73.61215932167725, -0.8660254037844383x = -74.47818472546169, -0.8660254037844383x = -75.34421012924614, -0.8660254037844383x = -76.21023553303057, -0.8660254037844383x = -77.076260936815, -0.8660254037844383x = -77.94228634059944, -0.8660254037844383x = -78.80831174438389, -0.8660254037844383x = -79.67433714816832, -0.8660254037844383x = -80.54036255195275, -0.8660254037844383x = -81.4063879557372, -0.8660254037844383x = -82.27241335952164, -0.8660254037844383x = -83.13843876330607, -0.8660254037844383x = -84.00446416709052, -0.8660254037844383x = -84.87048957087495, -0.8660254037844383x = -85.73651497465939, -0.8660254037844383x = -86.60254037844382}
  4. Sequence(Line[(t, 0), g], t, -100, 100) → l2, {-0.8660254037844386x = 86.60254037844386, -0.8660254037844386x = 85.73651497465941, -0.8660254037844386x = 84.87048957087498, -0.8660254037844386x = 84.00446416709055, -0.8660254037844386x = 83.13843876330611, -0.8660254037844386x = 82.27241335952166, -0.8660254037844386x = 81.40638795573723, -0.8660254037844386x = 80.5403625519528, -0.8660254037844386x = 79.67433714816835, -0.8660254037844386x = 78.80831174438391, -0.8660254037844386x = 77.94228634059948, -0.8660254037844386x = 77.07626093681503, -0.8660254037844386x = 76.2102355330306, -0.8660254037844386x = 75.34421012924616, -0.8660254037844386x = 74.47818472546172, -0.8660254037844386x = 73.61215932167728, -0.8660254037844386x = 72.74613391789285, -0.8660254037844386x = 71.8801085141084, -0.8660254037844386x = 71.01408311032397, -0.8660254037844386x = 70.14805770653953, -0.8660254037844386x = 69.28203230275508, -0.8660254037844386x = 68.41600689897065, -0.8660254037844386x = 67.54998149518622, -0.8660254037844386x = 66.68395609140177, -0.8660254037844386x = 65.81793068761733, -0.8660254037844386x = 64.9519052838329, -0.8660254037844386x = 64.08587988004845, -0.8660254037844386x = 63.21985447626402, -0.8660254037844386x = 62.35382907247958, -0.8660254037844386x = 61.48780366869514, -0.8660254037844386x = 60.6217782649107, -0.8660254037844386x = 59.75575286112626, -0.8660254037844386x = 58.88972745734183, -0.8660254037844386x = 58.023702053557386, -0.8660254037844386x = 57.157676649772945, -0.8660254037844386x = 56.29165124598851, -0.8660254037844386x = 55.42562584220407, -0.8660254037844386x = 54.55960043841963, -0.8660254037844386x = 53.693575034635195, -0.8660254037844386x = 52.827549630850754, -0.8660254037844386x = 51.96152422706631, -0.8660254037844386x = 51.09549882328188, -0.8660254037844386x = 50.22947341949744, -0.8660254037844386x = 49.363448015713, -0.8660254037844386x = 48.49742261192856, -0.8660254037844386x = 47.63139720814412, -0.8660254037844386x = 46.76537180435968, -0.8660254037844386x = 45.89934640057525, -0.8660254037844386x = 45.033320996790806, -0.8660254037844386x = 44.167295593006365, -0.8660254037844386x = 43.30127018922193, -0.8660254037844386x = 42.43524478543749, -0.8660254037844386x = 41.569219381653056, -0.8660254037844386x = 40.703193977868615, -0.8660254037844386x = 39.837168574084174, -0.8660254037844386x = 38.97114317029974, -0.8660254037844386x = 38.1051177665153, -0.8660254037844386x = 37.23909236273086, -0.8660254037844386x = 36.373066958946424, -0.8660254037844386x = 35.50704155516198, -0.8660254037844386x = 34.64101615137754, -0.8660254037844386x = 33.77499074759311, -0.8660254037844386x = 32.90896534380867, -0.8660254037844386x = 32.042939940024226, -0.8660254037844386x = 31.17691453623979, -0.8660254037844386x = 30.31088913245535, -0.8660254037844386x = 29.444863728670914, -0.8660254037844386x = 28.578838324886473, -0.8660254037844386x = 27.712812921102035, -0.8660254037844386x = 26.846787517317598, -0.8660254037844386x = 25.980762113533157, -0.8660254037844386x = 25.11473670974872, -0.8660254037844386x = 24.24871130596428, -0.8660254037844386x = 23.38268590217984, -0.8660254037844386x = 22.516660498395403, -0.8660254037844386x = 21.650635094610966, -0.8660254037844386x = 20.784609690826528, -0.8660254037844386x = 19.918584287042087, -0.8660254037844386x = 19.05255888325765, -0.8660254037844386x = 18.186533479473212, -0.8660254037844386x = 17.32050807568877, -0.8660254037844386x = 16.454482671904334, -0.8660254037844386x = 15.588457268119894, -0.8660254037844386x = 14.722431864335457, -0.8660254037844386x = 13.856406460551018, -0.8660254037844386x = 12.990381056766578, -0.8660254037844386x = 12.12435565298214, -0.8660254037844386x = 11.258330249197702, -0.8660254037844386x = 10.392304845413264, -0.8660254037844386x = 9.526279441628825, -0.8660254037844386x = 8.660254037844386, -0.8660254037844386x = 7.794228634059947, -0.8660254037844386x = 6.928203230275509, -0.8660254037844386x = 6.06217782649107, -0.8660254037844386x = 5.196152422706632, -0.8660254037844386x = 4.330127018922193, -0.8660254037844386x = 3.4641016151377544, -0.8660254037844386x = 2.598076211353316, -0.8660254037844386x = 1.7320508075688772, -0.8660254037844386x = 0.8660254037844386, -0.8660254037844386x = 0, -0.8660254037844386x = -0.8660254037844386, -0.8660254037844386x = -1.7320508075688772, -0.8660254037844386x = -2.598076211353316, -0.8660254037844386x = -3.4641016151377544, -0.8660254037844386x = -4.330127018922193, -0.8660254037844386x = -5.196152422706632, -0.8660254037844386x = -6.06217782649107, -0.8660254037844386x = -6.928203230275509, -0.8660254037844386x = -7.794228634059947, -0.8660254037844386x = -8.660254037844386, -0.8660254037844386x = -9.526279441628825, -0.8660254037844386x = -10.392304845413264, -0.8660254037844386x = -11.258330249197702, -0.8660254037844386x = -12.12435565298214, -0.8660254037844386x = -12.990381056766578, -0.8660254037844386x = -13.856406460551018, -0.8660254037844386x = -14.722431864335457, -0.8660254037844386x = -15.588457268119894, -0.8660254037844386x = -16.454482671904334, -0.8660254037844386x = -17.32050807568877, -0.8660254037844386x = -18.186533479473212, -0.8660254037844386x = -19.05255888325765, -0.8660254037844386x = -19.918584287042087, -0.8660254037844386x = -20.784609690826528, -0.8660254037844386x = -21.650635094610966, -0.8660254037844386x = -22.516660498395403, -0.8660254037844386x = -23.38268590217984, -0.8660254037844386x = -24.24871130596428, -0.8660254037844386x = -25.11473670974872, -0.8660254037844386x = -25.980762113533157, -0.8660254037844386x = -26.846787517317598, -0.8660254037844386x = -27.712812921102035, -0.8660254037844386x = -28.578838324886473, -0.8660254037844386x = -29.444863728670914, -0.8660254037844386x = -30.31088913245535, -0.8660254037844386x = -31.17691453623979, -0.8660254037844386x = -32.042939940024226, -0.8660254037844386x = -32.90896534380867, -0.8660254037844386x = -33.77499074759311, -0.8660254037844386x = -34.64101615137754, -0.8660254037844386x = -35.50704155516198, -0.8660254037844386x = -36.373066958946424, -0.8660254037844386x = -37.23909236273086, -0.8660254037844386x = -38.1051177665153, -0.8660254037844386x = -38.97114317029974, -0.8660254037844386x = -39.837168574084174, -0.8660254037844386x = -40.703193977868615, -0.8660254037844386x = -41.569219381653056, -0.8660254037844386x = -42.43524478543749, -0.8660254037844386x = -43.30127018922193, -0.8660254037844386x = -44.167295593006365, -0.8660254037844386x = -45.033320996790806, -0.8660254037844386x = -45.89934640057525, -0.8660254037844386x = -46.76537180435968, -0.8660254037844386x = -47.63139720814412, -0.8660254037844386x = -48.49742261192856, -0.8660254037844386x = -49.363448015713, -0.8660254037844386x = -50.22947341949744, -0.8660254037844386x = -51.09549882328188, -0.8660254037844386x = -51.96152422706631, -0.8660254037844386x = -52.827549630850754, -0.8660254037844386x = -53.693575034635195, -0.8660254037844386x = -54.55960043841963, -0.8660254037844386x = -55.42562584220407, -0.8660254037844386x = -56.29165124598851, -0.8660254037844386x = -57.157676649772945, -0.8660254037844386x = -58.023702053557386, -0.8660254037844386x = -58.88972745734183, -0.8660254037844386x = -59.75575286112626, -0.8660254037844386x = -60.6217782649107, -0.8660254037844386x = -61.48780366869514, -0.8660254037844386x = -62.35382907247958, -0.8660254037844386x = -63.21985447626402, -0.8660254037844386x = -64.08587988004845, -0.8660254037844386x = -64.9519052838329, -0.8660254037844386x = -65.81793068761733, -0.8660254037844386x = -66.68395609140177, -0.8660254037844386x = -67.54998149518622, -0.8660254037844386x = -68.41600689897065, -0.8660254037844386x = -69.28203230275508, -0.8660254037844386x = -70.14805770653953, -0.8660254037844386x = -71.01408311032397, -0.8660254037844386x = -71.8801085141084, -0.8660254037844386x = -72.74613391789285, -0.8660254037844386x = -73.61215932167728, -0.8660254037844386x = -74.47818472546172, -0.8660254037844386x = -75.34421012924616, -0.8660254037844386x = -76.2102355330306, -0.8660254037844386x = -77.07626093681503, -0.8660254037844386x = -77.94228634059948, -0.8660254037844386x = -78.80831174438391, -0.8660254037844386x = -79.67433714816835, -0.8660254037844386x = -80.5403625519528, -0.8660254037844386x = -81.40638795573723, -0.8660254037844386x = -82.27241335952166, -0.8660254037844386x = -83.13843876330611, -0.8660254037844386x = -84.00446416709055, -0.8660254037844386x = -84.87048957087498, -0.8660254037844386x = -85.73651497465941, -0.8660254037844386x = -86.60254037844386}
  5. Sequence(Line[(0, (sqrt(3) / 2 * t)), (1, (sqrt(3) / 2 * t))], t, -100, 100) → l3, {y = -86.60254037844386, y = -85.73651497465941, y = -84.87048957087498, y = -84.00446416709055, y = -83.13843876330611, y = -82.27241335952166, y = -81.40638795573723, y = -80.5403625519528, y = -79.67433714816835, y = -78.80831174438391, y = -77.94228634059948, y = -77.07626093681503, y = -76.2102355330306, y = -75.34421012924616, y = -74.47818472546172, y = -73.61215932167728, y = -72.74613391789285, y = -71.8801085141084, y = -71.01408311032397, y = -70.14805770653953, y = -69.28203230275508, y = -68.41600689897065, y = -67.54998149518622, y = -66.68395609140177, y = -65.81793068761733, y = -64.9519052838329, y = -64.08587988004845, y = -63.21985447626402, y = -62.35382907247958, y = -61.48780366869514, y = -60.6217782649107, y = -59.75575286112626, y = -58.88972745734183, y = -58.023702053557386, y = -57.157676649772945, y = -56.29165124598851, y = -55.42562584220407, y = -54.55960043841963, y = -53.693575034635195, y = -52.827549630850754, y = -51.96152422706631, y = -51.09549882328188, y = -50.22947341949744, y = -49.363448015713, y = -48.49742261192856, y = -47.63139720814412, y = -46.76537180435968, y = -45.89934640057525, y = -45.033320996790806, y = -44.167295593006365, y = -43.30127018922193, y = -42.43524478543749, y = -41.569219381653056, y = -40.703193977868615, y = -39.837168574084174, y = -38.97114317029974, y = -38.1051177665153, y = -37.23909236273086, y = -36.373066958946424, y = -35.50704155516198, y = -34.64101615137754, y = -33.77499074759311, y = -32.90896534380867, y = -32.042939940024226, y = -31.17691453623979, y = -30.31088913245535, y = -29.444863728670914, y = -28.578838324886473, y = -27.712812921102035, y = -26.846787517317598, y = -25.980762113533157, y = -25.11473670974872, y = -24.24871130596428, y = -23.38268590217984, y = -22.516660498395403, y = -21.650635094610966, y = -20.784609690826528, y = -19.918584287042087, y = -19.05255888325765, y = -18.186533479473212, y = -17.32050807568877, y = -16.454482671904334, y = -15.588457268119894, y = -14.722431864335457, y = -13.856406460551018, y = -12.990381056766578, y = -12.12435565298214, y = -11.258330249197702, y = -10.392304845413264, y = -9.526279441628825, y = -8.660254037844386, y = -7.794228634059947, y = -6.928203230275509, y = -6.06217782649107, y = -5.196152422706632, y = -4.330127018922193, y = -3.4641016151377544, y = -2.598076211353316, y = -1.7320508075688772, y = -0.8660254037844386, y = 0, y = 0.8660254037844386, y = 1.7320508075688772, y = 2.598076211353316, y = 3.4641016151377544, y = 4.330127018922193, y = 5.196152422706632, y = 6.06217782649107, y = 6.928203230275509, y = 7.794228634059947, y = 8.660254037844386, y = 9.526279441628825, y = 10.392304845413264, y = 11.258330249197702, y = 12.12435565298214, y = 12.990381056766578, y = 13.856406460551018, y = 14.722431864335457, y = 15.588457268119894, y = 16.454482671904334, y = 17.32050807568877, y = 18.186533479473212, y = 19.05255888325765, y = 19.918584287042087, y = 20.784609690826528, y = 21.650635094610966, y = 22.516660498395403, y = 23.38268590217984, y = 24.24871130596428, y = 25.11473670974872, y = 25.980762113533157, y = 26.846787517317598, y = 27.712812921102035, y = 28.578838324886473, y = 29.444863728670914, y = 30.31088913245535, y = 31.17691453623979, y = 32.042939940024226, y = 32.90896534380867, y = 33.77499074759311, y = 34.64101615137754, y = 35.50704155516198, y = 36.373066958946424, y = 37.23909236273086, y = 38.1051177665153, y = 38.97114317029974, y = 39.837168574084174, y = 40.703193977868615, y = 41.569219381653056, y = 42.43524478543749, y = 43.30127018922193, y = 44.167295593006365, y = 45.033320996790806, y = 45.89934640057525, y = 46.76537180435968, y = 47.63139720814412, y = 48.49742261192856, y = 49.363448015713, y = 50.22947341949744, y = 51.09549882328188, y = 51.96152422706631, y = 52.827549630850754, y = 53.693575034635195, y = 54.55960043841963, y = 55.42562584220407, y = 56.29165124598851, y = 57.157676649772945, y = 58.023702053557386, y = 58.88972745734183, y = 59.75575286112626, y = 60.6217782649107, y = 61.48780366869514, y = 62.35382907247958, y = 63.21985447626402, y = 64.08587988004845, y = 64.9519052838329, y = 65.81793068761733, y = 66.68395609140177, y = 67.54998149518622, y = 68.41600689897065, y = 69.28203230275508, y = 70.14805770653953, y = 71.01408311032397, y = 71.8801085141084, y = 72.74613391789285, y = 73.61215932167728, y = 74.47818472546172, y = 75.34421012924616, y = 76.2102355330306, y = 77.07626093681503, y = 77.94228634059948, y = 78.80831174438391, y = 79.67433714816835, y = 80.5403625519528, y = 81.40638795573723, y = 82.27241335952166, y = 83.13843876330611, y = 84.00446416709055, y = 84.87048957087498, y = 85.73651497465941, y = 86.60254037844386}
  6. Point(yAxis) → A
  7. Point(l3) → B
  8. Point(l3) → C
  9. Point(l3) → D
  10. Polygon(A, B, C, D) → q1, a, b, c, d
  11. Point(l3) → E

AI Drawing Prompt Reference

Draw a grid background with two sets of parallel slanted lines and one set of horizontal lines, with the slanted lines in two different directions and the horizontal lines evenly spaced. Place a quadrilateral on the grid with its four vertices on the horizontal lines, one vertex on the vertical axis. Add an extra point on the grid. The overall figure is a coordinate plane grid for practicing geometric transformations.
The prompt above was compiled from the original drawing commands and is for reference only.