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Warm Up Classify each polygon. 1. a polygon with three congruent sides

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. Objectives.

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Warm Up Classify each polygon. 1. a polygon with three congruent sides

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  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. Objectives Classify three-dimensional figures according to their properties. Use nets and cross sections to analyze three-dimensional figures.

  3. Three-dimensional figures, or solids, can be made up of flat or curved surfaces. • Each flat surface is called a face. • An edge is the segment that is the intersection of two faces. • A vertex is the point that is the intersection of three or more faces.

  4. A cubeis a prism with six square faces. Other prisms and pyramids are named for the shape of their bases.

  5. edges: Example 1A: 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

  6. edges: Example 1B: Classifying Three-Dimensional Figures Classify the figure. Name the vertices, edges, and bases. pentagonal pyramid vertices: A, B, C, D, E, F base: ABCDE

  7. Example 1c Classify the figure. Name the vertices, edges, and bases. cone vertex: N M edges: none base: •M

  8. A netis a diagram of the surfaces of a three-dimensional figure that can be folded to form the three-dimensional figure. • To identify a three-dimensional figure from a net, look at the number of faces and the shape of each face.

  9. Example 2A: Identifying a Three-Dimensional Figure From a Net Describe the three-dimensional figure that can be made from the given net. The net has six congruent square faces. So the net forms a cube.

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

  11. Example 3b Describe the cross section. The cross section is a triangle.

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

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

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

  15. Homework Worksheet 10-1 A 10-1 reteach done in class

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