Unit 7: Slices and Shadows Study Guide

Cross Sections

1. A cross section is ______. 2. The vertical intersection of a plane containing the vertex and a cone creates a ______cross section. 3. The horizontal intersection of a plane and a cone creates a ______cross section. 4. A set of parallel cross sections of a cone horizontal to the base are ______but not ______to the base. 5. The vertical intersection of a plane containing the vertex and a pyramid creates a ______cross section. 6. The horizontal intersection of a plane and a pyramid creates a ______cross section to the ______. 7. A set of parallel cross sections of a pyramid horizontal to the base are ______but not ______to the base. 8. Pyramids and cones have similar vertical and horizontal cross sections because______. 9. The vertical intersection of a plane and a cylinder creates a ______cross section. 10. The horizontal intersection of a plane and a cylinder creates a ______cross section. 11. The vertical intersection of a plane and a prism creates a ______cross section. 12. The horizontal intersection of a plane and a prism creates a ______cross section. 13. A set of parallel cross sections of a prism or cylinder horizontal to the base are always ______to the base. 14. Prisms and cylinders have similar vertical and horizontal cross sections because ______. 15. To create a triangular cross section of a cube a plane would need to intersect ______of the faces of the cube. 16. To create a hexagon cross section of a cube a plane would need to intersect ______of the faces of a cube. 17. Explain why it is not possible to create an octagon cross section of a cube. ______. 18. A polygon with a maximum of ______sides can be created with a triangular pyramid. 19. A polygon with a maximum of ______sides can be created with a rectangular pyramid.

Translations and Rotations 1. A ______is created when a triangle is rotated through space about a line perpendicular to its base containing the vertex. 2. A ______is created when a triangle is translated through space. 3. A ______is created when a circle is rotated through space about a line that contains its center point. 4. A ______is created when a circle is translated through space. 5. A ______is created when a rectangle is rotated through space about a line containing one of its edges. 6. A ______is created when a rectangle is rotated through space about a line containing the midpoint of both bases. 7. A ______is created when a rectangle is translated through space. 3 – D Shapes 1. A polygon is a ______. 2. A ______is a 3 – D shape made up of polygons. 3. ______, ______, and ______are not polyhedrons because ______.