Geometric Cross-Sections Exploration Guide

1. 26 Review CCM7U5L2 Geometric Cross-Sections

3. Problem #1 • What shape is formed by the intersection of this cone?

4. Answer #1 • A circle

5. Problem #2 • Sketch the intersection of a plane and a cube so that the cross section is a triangle.

6. Answer #2

7. Problem #3 • What 3 solids can have a rectangle as a cross sections?

8. Answer #3 • Rectangular prism • Cylinder • Rectangular pyramid

9. Problem #4 • Name the two shapes that can be formed by the horizontal and vertical intersection of a plane and a cylinder.

10. Answer #4 • Circle • rectangle

11. Problem #5 • Sketch and name the solid formed by rotating a square

12. Answer #5 • cylinder

13. Problem #6 • What is a cross section?

14. Answer #6 • A plane figure obtained by slicing a solid with a plane.

15. Problem #7 • What 3D shape is formed by the translation of a circle through space?

16. Answer #7 • cylinder

17. Problem #8 • What figure is formed when a triangle rotates in space on its vertex?

18. Answer #8 • cone

19. Problem #9 • What shape is the vertical cross section of a pyramid?

20. Answer #9 • triangle

21. Problem #10 • What solid figure is formed when a rectangle is rotated 360 degrees?

22. Answer #10 • cylinder

23. Problem #11 • What solid is represented by a set of parallel cross sections that are similar circles, but not congruent circles?

24. Answer #11 • cone

25. Problem #12 • What is the greatest number of sides in a polygonal cross section of a cube?

26. Answer #12 • 6

27. Problem #13 • Name the solid based on the following properties: A set of my parallel cross sections are squares that are similar, but not congurent

28. Answer #13 • Rectangular pyramid

29. Problem #14 • What shape is the horizontal cross section of a rectangular prism?

30. Answer #14 • rectangle

31. Problem #15 • What 3D shape is formed by the translation of a square through space?

32. Answer #15 • Rectangular prism

33. Problem #16 Is a square a possible cross sections that can be formed when a rectangular pyramid is intersected by a plane?

34. Answer #16 • yes

35. Problem #17 • Name the vertical and horizontal cross sections that can be formed when a cone is intersected by a plane?

36. Answer #17 • Circle, triangle

37. Problem #18 • Is a circle a possible cross section that can be formed when a rectangular pyramid is intersected by a plane?

38. Answer #18 • no

39. Problem #19 • What figure is formed when a rectangle rotates in space on its edge?

40. Answer #19 • cylinder

41. Problem #20 • What three solid figures have a circle as a horizontal cross section?

42. Answer #20 • Cone • Sphere • cylinder

43. Problem #21 • What two solid figures can be formed by moving a square in a straight line through space?

44. Answer #21 • cube • Rectangular prism

45. Problem #22 • What solid figures have a triangle as a cross section?

46. Answer #22 • Pyramids, cube, cone

47. Problem #23 • What 3D shape is made by translating a triangle through space?

48. Answer # 23 • Triangular prism

49. Problem #24 • Is a triangle a possible cross section that can be formed when a rectangular pyramid is intersected by a plane?

50. Answer #24 • yes