1. Warm Up Classify each polygon. 1. a polygon with three congruent sides 2. a polygon with six congruent sides and six congruent angles 3. a polygon with four sides and with opposite sides parallel and congruent equilateral triangle regular hexagon parallelogram

2. Notes 12-1, 12-2 Three Dimensional Figures, Nets, and Surface Areas

3. Three-Dimensional Figures Solids Face Edge Vertex

5. Orthogonal Drawings

6. Prisms and Pyramids Named for their bases. Cube

7. Example: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. cube vertices: A, B, C, D, E, F, G, H bases: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF edges:

8. Example: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. pentagonal pyramid vertices: A, B, C, D, E, F base: ABCDE edges:

9. A cross section is the intersection of a three- dimensional figure and a plane.

10. Example: Describing Cross Sections of Three- Dimensional Figures Describe the cross section. The cross section is a point. A cross section is the intersection of a three- dimensional figure and a plane.

11. Example: Describing Cross Sections of Three- Dimensional Figures Describe the cross section. The cross section is a pentagon.

12. Example: Describe the cross section. The cross section is a hexagon.

13. Example: Describe the cross section. The cross section is a triangle.

14. Net Diagram of the surface s of a 3- dimensional figure. Describe the three-dimensional figure that can be made from the given net.

15. Example: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net.

16. Prisms and Cylinders Prisms and cylinders have 2 congruent parallel bases. A lateral face is not a base. The edges of the base are called base edges. A lateral edge is not an edge of a base. The lateral faces of a right prism are all rectangles. An oblique prism has at least one nonrectangular lateral face.

17. An altitude of a prism or cylinder is a perpendicular segment joining the planes of the bases. The height of a three-dimensional figure is the length of an altitude. Surface area is the total area of all faces of a three- dimensional figure. The lateral area of a prism is the sum of the areas of the lateral faces.

18. Cylinders The lateral surface of a cylinder is the curved surface that connects the two bases. The axis of a cylinder is the segment with endpoints at the centers of the bases. The axis of a right cylinder is perpendicular to its bases. The axis of an oblique cylinder is not perpendicular to its bases. The altitude of a right cylinder is the same length as the axis.

19. Lesson Quiz: Part I 1. Classify the figure. Name the vertices, edges, and bases. triangular prism; vertices: A, B, C, D, E, F; bases: ∆ABC and ∆DEF edges:

20. 2. Describe the three-dimensional figure that can be made from this net. square pyramid Lesson Quiz: Part II

21. 3. Describe the cross section. a rectangle Lesson Quiz: Part III