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Line Projection on Plane Exercise

This exercise involves finding the projection of a line on a plane in a dynamic 3D environment using Cabri 3D software. It includes multiple-choice questions and requires installation of Cabri 3D (v2.0 or above).

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Line Projection on Plane Exercise

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  1. Exercise: The projection of a line on a plane To show the dynamic figures properly, the evaluation version of Cabri 3D (V2.0 or above) must be installed. Enter

  2. There are 17 multiple choice questions. Click the letter to answer. Enter

  3. 1. (Hold down the right mouse button and drag to change the view angle.) ABCDEFGH is a cuboid. Find the projection of DG on the plane ABCD. A BC B BD C BG D AD

  4. 1.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular from G to the plane ABCD? Back

  5. 1.Correct! The projection of DG on the plane ABCD is BD. (Click and right-button drag the figure to change the view angle.) Next

  6. 2. (Hold down the right mouse button and drag to change the view angle.) ABCDEFGH is a cuboid. Find the projection of DG on the plane ADEF. A FG B DE C DF D AD

  7. 2.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromG to the plane ADEF? Back

  8. 2. Correct! The projection of DG on the plane ADEFis DF.(Click and right-button drag the figure to change the view angle.) Next

  9. 3. (Hold down the right mouse button and drag to change the view angle.) ABCD is a square, VO is the altitude of the pyramid. Find the projection of VB on ABCD. A OB B BD C BC D AB

  10. 3.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromV to the plane ABCD? Back

  11. 3.Correct！ The projection of VB on the plane ABCDis OB.(Click and right-button drag the figure to change the view angle.) Next

  12. 4. (Hold down the right mouse button and drag to change the view angle.) ABCD is a square, M is the mid-point of BC, and VO is the altitude of the pyramid. Find the projection of VM on the plane ABCD. A AM B BM C CM D OM

  13. 4.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromV to the plane ABCD? Back

  14. 4. Correct！ The projection of VM on the plane ABCDis OM.(Click and right-button drag the figure to change the view angle.) Next

  15. 5. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OAB. A AB B OA C OB D OC

  16. 5.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromC to the plane OAB? Back

  17. 5.Correct！ The projection of AC on the plane OABis OA.(Click and right-button drag the figure to change the view angle.) Next

  18. 6. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90 and CO is the altitude. P is a point on AB. Find the projection of AC on the plane OAB. A OP B PA C PB D OC

  19. 6.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromC to the plane OAB? Back

  20. 6.Correct！ The projection of CP on the plane OABis OP.(Click and right-button drag the figure to change the view angle.) Next

  21. 7. (Hold down the right mouse button and drag to change the view angle.) OABC is a triangular pyramid, AOB = 90 and CO is the altitude. Find the projection of AC on the plane OBC. A AB B OA C OB D OC

  22. 7.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromA to the plane OBC? Back

  23. 7.Correct！ The projection of AC on the plane OBCis OC.(Click and right-button drag the figure to change the view angle.) Next

  24. 8. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane ABCD. A AD B AB C DE D CD

  25. 8.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromE to the plane ABCD? Back

  26. 8.Correct！ The projection of AE on the plane ABCDis AD.(Click and right-button drag the figure to change the view angle.) Next

  27. 9. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AE on the plane CDEF. A AD B AB C DE D CD

  28. 9.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromA to the plane CDEF? Back

  29. 9.Correct！ The projection of AE on the plane CDEFis AC.(Click and right-button drag the figure to change the view angle.) Next

  30. 10. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane ABCD. A AB B AC C BF D FC

  31. 10.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromF to the plane ABCD? Back

  32. 10.Correct！ The projection of AF on the plane ABCDis AC.(Click and right-button drag the figure to change the view angle.) Next

  33. 11. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90 . Find the projection of AF on the plane CDEF. A EF B DE C DF D FC

  34. 11.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromA to the plane CDEF? Back

  35. 11. Correct！ The projection of AF on the plane CDEFis DF.(Click and right-button drag the figure to change the view angle.) Next

  36. 12. (Hold down the right mouse button and drag to change the view angle.) ABCDEF is a triangular prism, in which ABCD and CDEF are rectangles, BCF = 90. Find the projection of AF on the plane ADE. A EF B AD C AE D ED

  37. 12.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromF to the plane ADE? Back

  38. 12. Correct！ The projection of AF on the plane ADEis AE.(Click and right-button drag the figure to change the view angle.) Next

  39. 13. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane ABCD. A AB B AC C CD D VD

  40. 13.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromV to the plane ABCD? Back

  41. 13.Correct！ The projection of VC on the plane ABCDis CD.(Click and right-button drag the figure to change the view angle.) Next

  42. 14. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane ABCD. A AB B BC C BD D VD

  43. 14.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromV to the plane ABCD? Back

  44. 14.Correct！ The projection of VB on the plane ABCDis BD.(Click and right-button drag the figure to change the view angle.) Next

  45. 15. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VC on the plane VAD. A VA B VB C VD D CD

  46. 15.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromC to the plane VAD? Back

  47. 15.Correct！ The projection of VC on the plane VADis VD.(Click and right-button drag the figure to change the view angle.) Next

  48. 16. (Hold down the right mouse button and drag to change the view angle.) VABCD is a rectangular pyramid, ABCD is a rectangle, and VD is the altitude. Find the projection of VB on the plane VAD. A VA B VC C VD D BD

  49. 16.Incorrect! Hint: Click and right-button drag the figure to change the view angle. What is the foot of perpendicular fromB to the plane VAD? Back

  50. 16.Correct！ The projection of VB on the plane VADis VA.(Click and right-button drag the figure to change the view angle.) Next

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