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Drawing Views of Prisms

Drawing Views of Prisms
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2018-04-18 05:35
Coordinate GeometrySolid GeometryGeometric Construction
In collections Cuboids & their Nets
This example demonstrates how to draw the three views (front, top, side) of prisms using GeoGebra. It involves core mathematical concepts such as solid geometry, geometric construction, and spatial visualization. The construction utilizes commands like Point, Segment, Take, Polygon, along with objects like ClickedPoints, specific points (S, O, N, M), and buttons (B, C, D, E, F, G, H, K, L, P, Q, R, T, U, V, W, Z, B_1, D_1, M_1, L1-L10). It is suitable for middle school and above, focusing on geometric teaching and spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Point(yAxis) → D_1
  2. Segment(Element[ClickedPoints, 1], Element[ClickedPoints, 2]) → L1
  3. Segment(Element[ClickedPoints, 3], Element[ClickedPoints, 4]) → L2
  4. Segment(Element[ClickedPoints, 5], Element[ClickedPoints, 6]) → L3
  5. Segment(Element[ClickedPoints, 7], Element[ClickedPoints, 8]) → L4
  6. Segment(Element[ClickedPoints, 9], Element[ClickedPoints, 10]) → L5
  7. Segment(Element[ClickedPoints, 11], Element[ClickedPoints, 12]) → L6
  8. Segment(Element[ClickedPoints, 13], Element[ClickedPoints, 14]) → L7
  9. Segment(Element[ClickedPoints, 15], Element[ClickedPoints, 16]) → L8
  10. Segment(Element[ClickedPoints, 17], Element[ClickedPoints, 18]) → L9
  11. Segment(Element[ClickedPoints, 19], Element[ClickedPoints, 20]) → L10
  12. Take(ClickedPoints, 1, NumClicks) → ShortPointList
  13. Take(LineList, 1, NumLines) → ShortLineList
  14. Segment(Element[ClickedPoints, 21], Element[ClickedPoints, 22]) → L11
  15. Segment(Element[ClickedPoints, 23], Element[ClickedPoints, 24]) → L12
  16. Segment(Element[ClickedPoints, 25], Element[ClickedPoints, 26]) → L13
  17. Segment(Element[ClickedPoints, 27], Element[ClickedPoints, 28]) → L14
  18. Segment(Element[ClickedPoints, 29], Element[ClickedPoints, 30]) → L15
  19. Segment(Element[ClickedPoints, 31], Element[ClickedPoints, 32]) → L16
  20. Segment(Element[ClickedPoints, 33], Element[ClickedPoints, 34]) → L17
  21. Segment(Element[ClickedPoints, 35], Element[ClickedPoints, 36]) → L18
  22. Segment(Element[ClickedPoints, 37], Element[ClickedPoints, 38]) → L19
  23. Segment(Element[ClickedPoints, 39], Element[ClickedPoints, 40]) → L20
  24. Segment(Q14, Q30) → P1line1
  25. Segment(Q44, Q30) → P1line2
  26. Segment(Q28, Q44) → P1line3
  27. Segment(Q28, Q14) → P1line4
  28. Segment(Q14, Q7) → P1line5
  29. Segment(Q7, Q21) → P1line6
  30. Segment(Q21, Q28) → P1line7
  31. Segment(Q21, Q37) → P1line8
  32. Segment(Q37, Q44) → P1line9
  33. Polygon(Q14, Q28, Q44, Q30) → P1Front, q14, q28, q44, q30
  34. Polygon(Q28, Q21, Q37, Q44) → P1Side, q28_1, q21, q37, q44_1
  35. Polygon(Q14, Q7, Q21, Q28) → P1Top, q14_1, q7, q21_1, q28_2
  36. Polygon((-0.5, 5.5), (4.5, 5.5), (4.5, -0.5), (-0.5, -0.5)) → PaperOutline, f, g, h, i
  37. Segment(A7, A10) → P1front1
  38. Segment(A10, A20) → P1front2
  39. Segment(A20, A17) → P1front3
  40. Segment(A17, A7) → P1front4
  41. Polygon(A7, A10, A20, A17) → P1FrontA, a7, a10, a20, a17
  42. Polygon(A7, A10, A20, A17) → P1TopA, a7_1, a10_1, a20_1, a17_1
  43. Segment(A7, A17) → P1side1
  44. Segment(A17, A19) → P1side2
  45. Segment(A19, A9) → P1side3
  46. Segment(A9, A7) → P1side4
  47. Polygon(A7, A9, A19, A17) → P1SideA, a7_2, a9, a19, a17_2
  48. Segment(Q22, Q38) → P2line9
  49. Segment(Q38, Q43) → P2line1
  50. Segment(Q22, Q27) → P2line4
  51. Segment(Q27, Q43) → P2line5
  52. Segment(Q22, Q8) → P2line2
  53. Segment(Q8, Q13) → P2line3
  54. Segment(Q13, Q27) → P2line6
  55. Segment(Q13, Q29) → P2line7
  56. Segment(Q29, Q43) → P2line8
  57. Polygon(Q38, Q22, Q27, Q43) → P2Front, q38, q22, q27, q43
  58. Polygon(Q27, Q13, Q29, Q43) → P2Side, q27_1, q13, q29, q43_1
  59. Polygon(Q22, Q8, Q13, Q27) → P2Top, q22_1, q8, q13_1, q27_2
  60. Segment(A6, A10) → P2top1
  61. Segment(A10, A15) → P2top2
  62. Segment(A15, A11) → P2top3
  63. Segment(A11, A6) → P2top4
  64. Polygon(A6, A10, A15, A11) → P2TopA, a6, a10_2, a15, a11
  65. Segment(A6, A10) → P2side1
  66. Segment(A10, A20) → P2side2
  67. Segment(A20, A16) → P2side3
  68. Segment(A16, A6) → P2side4
  69. Polygon(A6, A10, A20, A16) → P2SideA, a6_1, a10_3, a20_2, a16
  70. Segment(A7, A17) → P2front1
  71. Segment(A17, A18) → P2front4
  72. Segment(A18, A8) → P2front3
  73. Segment(A8, A7) → P2front2
  74. Polygon(A7, A8, A18, A17) → P2FrontA, a7_3, a8, a18, a17_3
  75. Segment(Q3, Q11) → P3line1
  76. Segment(Q11, Q20) → P3line2
  77. Segment(Q20, Q13) → P3line3
  78. Segment(Q13, Q3) → P3line8
  79. Segment(Q13, Q29) → P3line4
  80. Segment(Q29, Q36) → P3line9
  81. Segment(Q36, Q27) → P3line5
  82. Segment(Q27, Q11) → P3line6
  83. Segment(Q20, Q36) → P3line7
  84. Polygon(Q27, Q11, Q20, Q36) → P3Front, q27_3, q11, q20, q36
  85. Polygon(Q20, Q13, Q29, Q36) → P3Side, q20_1, q13_2, q29_1, q36_1
  86. Polygon(Q11, Q3, Q13, Q20) → P3Top, q11_1, q3, q13_3, q20_2
  87. Segment(A7, A9) → P3front2
  88. Segment(A19, A9) → P3front3
  89. Segment(A19, A17) → P3front4
  90. Segment(A17, A7) → P3front1
  91. Polygon(A7, A9, A19, A17) → P3TopA, a7_4, a9_1, a19_1, a17_4
  92. Polygon(A7, A9, A19, A17) → P3FrontA, a7_5, a9_2, a19_2, a17_5
  93. Polygon(A7, A9, A19, A17) → P3SideA, a7_6, a9_3, a19_3, a17_6
  94. Segment(Q29, Q39) → P4line1
  95. Segment(Q39, Q30) → P4line2
  96. Segment(Q30, Q22) → P4line3
  97. Segment(Q22, Q31) → P4line4
  98. Segment(Q31, Q39) → P4line5
  99. Segment(Q22, Q12) → P4line6
  100. Segment(Q12, Q21) → P4line7
  101. Segment(Q21, Q29) → P4line8
  102. Segment(Q21, Q31) → P4line9
  103. Polygon(Q22, Q12, Q21, Q31) → P4Top, q22_2, q12, q21_2, q31
  104. Polygon(Q22, Q31, Q39, Q30) → P4Front, q22_3, q31_1, q39, q30_1
  105. Polygon(Q39, Q31, Q21, Q29) → P4Side, q39_1, q31_2, q21_3, q29_2
  106. Segment(A7, A10) → P4top1
  107. Segment(A10, A20) → P4top2
  108. Segment(A20, A17) → P4top3
  109. Segment(A17, A7) → P4top4
  110. Polygon(A7, A10, A20, A17) → P4TopA, a7_7, a10_4, a20_3, a17_7
  111. Segment(A7, A10) → P4side2
  112. Segment(A10, A15) → P4side3
  113. Segment(A15, A12) → P4side4
  114. Segment(A12, A7) → P4side1
  115. Polygon(A7, A10, A15, A12) → P4SideA, a7_8, a10_5, a15_1, a12
  116. Segment(A7, A12) → P4front4
  117. Segment(A12, A14) → P4front3
  118. Segment(A14, A9) → P4front2
  119. Segment(A9, A7) → P4front1
  120. Polygon(A7, A9, A14, A12) → P4FrontA, a7_9, a9_4, a14, a12_1
  121. Segment(Q39, Q25) → P5line1
  122. Segment(Q25, Q17) → P5line2
  123. Segment(Q17, Q3) → P5line3
  124. Segment(Q3, Q18) → P5line4
  125. Segment(Q18, Q31) → P5line6
  126. Segment(Q31, Q39) → P5line7
  127. Segment(Q39, Q26) → P5line8
  128. Segment(Q26, Q18) → P5line9
  129. Segment(Q31, Q17) → P5line5
  130. Polygon(Q18, Q26, Q39, Q31) → P5Front, q18, q26, q39_2, q31_3
  131. Polygon(Q31, Q39, Q25, Q17) → P5Side, q31_4, q39_3, q25, q17
  132. Polygon(Q18, Q3, Q17, Q31) → P5Top, q18_1, q3_1, q17_1, q31_5
  133. Segment(A6, A10) → P5top1
  134. Segment(A10, A25) → P5top2
  135. Segment(A25, A21) → P5top3
  136. Segment(A21, A6) → P5top4
  137. Polygon(A6, A10, A25, A21) → P5TopA, a6_2, a10_6, a25, a21
  138. Segment(A7, A10) → P5front1
  139. Segment(A10, A15) → P5front2
  140. Segment(A15, A12) → P5front3
  141. Segment(A12, A7) → P5front4
  142. Polygon(A7, A10, A15, A12) → P5FrontA, a7_{10}, a10_7, a15_2, a12_2
  143. Segment(A6, A10) → P5side1
  144. Segment(A10, A15) → P5side2
  145. Segment(A15, A11) → P5side3
  146. Segment(A11, A6) → P5side4
  147. Polygon(A6, A10, A15, A11) → P5SideA, a6_3, a10_8, a15_3, a11_1
  148. Segment(Q30, Q44) → P6line3
  149. Segment(Q44, Q40) → P6line4
  150. Segment(Q40, Q16) → P6line5
  151. Segment(Q16, Q20) → P6line6
  152. Segment(Q20, Q6) → P6line7
  153. Segment(Q6, Q30) → P6line2
  154. Segment(Q6, Q2) → P6line1
  155. Segment(Q2, Q16) → P6line8
  156. Segment(Q20, Q44) → P6line9
  157. Polygon(Q6, Q20, Q44, Q30) → P6Front, q6, q20_3, q44_2, q30_2
  158. Polygon(Q20, Q16, Q40, Q44) → P6Side, q20_4, q16, q40, q44_3
  159. Polygon(Q6, Q2, Q16, Q20) → P6Top, q6_1, q2, q16_1, q20_5
  160. Segment(A7, A22) → P6side4
  161. Segment(A22, A23) → P6side3
  162. Segment(A23, A8) → P6side2
  163. Segment(A8, A7) → P6side1
  164. Polygon(A7, A8, A23, A22) → P6SideA, a7_{11}, a8_1, a23, a22
  165. Segment(A7, A22) → P6front4
  166. Segment(A22, A25) → P6front3
  167. Segment(A25, A10) → P6front2
  168. Segment(A10, A7) → P6front1
  169. Polygon(A7, A10, A25, A22) → P6FrontA, a7_{12}, a10_9, a25_1, a22_1
  170. Segment(A7, A12) → P6top1
  171. Segment(A12, A15) → P6top4
  172. Segment(A15, A10) → P6top3
  173. Segment(A10, A7) → P6top2
  174. Polygon(A7, A10, A15, A12) → P6TopA, a7_{13}, a10_{10}, a15_4, a12_3