1. Splash Screen

2. Lesson Menu Five-Minute Check (over Chapter 11) Then/Now New Vocabulary Concept Summary: Polyhedrons Example 1: Identify Solids Example 2: Cross Section of a Cone Example 3: Describe and Draw

3. Over Chapter 11 5-Minute Check 1 A.FG B.GF C. OG D. GO If ΔFOG  ΔHAT, what segment is congruent to TH? ___

4. Over Chapter 11 5-Minute Check 2 A. W'(–2, 3), X'(–4, 5), Y'(–5, 1), Z'(–1, 2) B. W'(2, –3), X'(4, –5), Y'(5, –1), Z'(1, 2) C. W'(3, 2), X'(5, 4), Y'(–1, –5), Z'(2, 1) D. W'(3, –2), X'(5, –4), Y'(–1, –5), Z'(–2, –1) The vertices of figure WXYZ are W(2, 3), X(4, 5), Y(5, 1) and Z(1, –2). What are the coordinates after WXYZ is rotated 90˚ clockwise about the origin?

5. Over Chapter 11 5-Minute Check 3 A.135 B.55 C.45 D.35 Find the value of x.

6. Over Chapter 11 5-Minute Check 4 A.323 cm 2 B.332 cm 2 C.644 cm 2 D.646 cm 2 What is the area of a triangle with a base of 34 centimeters and a height of 19 centimeters?

7. Over Chapter 11 5-Minute Check 5 A.75.8 in. B.78.5 in. C.151.6 in. D.157 in. What is the circumference of a round table with a diameter of 25 inches?

8. Over Chapter 11 5-Minute Check 6 A.215.1 mm 2 B.169.4 mm 2 C.158.5 mm 2 D.69.7 mm 2 Find the area of the figure.

9. Then/Now You have already modeled three-dimensional figures. (Lesson 12–1a) Identify three-dimensional figures. Describe and draw vertical, horizontal, and angled cross sections of three-dimensional figures.

10. Vocabulary plane solid polyhedron edge vertex face prism base pyramid cylinder cone cross section

11. Concept

12. Example 1 Identify Solids Identify the figure. Name the bases, faces, edges, and vertices. faces: GHJK, LMNP, GHML, HJNM, JKPN, GKPL Answer: This figure has two parallel congruent bases that are rectangles, GHJK and LMNP, so it is a rectangular prism. vertices: G, H, J, K, L, M, N, P edges:

13. Example 1 CYP Identify the figure. Name the bases, faces, edges, and vertices. Which listing is not accurate? A. rectangular pyramid with base: BCDE B. faces: ABC, ACD, ADE, AEB, BCDE C. D.vertices: B, C, D, E

14. Example 2 Cross Section of a Cone Draw and describe the shape resulting from a vertical, angled, and horizontal cross section of a rectangular pyramid. Answer:

15. Example 2 CYP A.circle B.rectangle C.parabola D.triangle What is the shape of a horizontal cross section through the cylinder below?

16. Example 3 Describe and Draw GIFT BOX A gift box is shown below. Draw the top view and side view. Then draw and describe the shape resulting from a vertical cross section of the figure. Answer:

17. Example 3 CYP A. B. C. D. Which is the top view of a triangular pyramid?

18. End of the Lesson