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Main Idea/Vocabulary

Identify and draw three-dimensional figures. coplanar. vertex diagonal skew lines prism base pyramid. parallel solid polyhedron edge face. Main Idea/Vocabulary. Identify Relationships. Name a plane that is parallel to plane GKJ.

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Main Idea/Vocabulary

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  1. Identify and draw three-dimensional figures. • coplanar • vertex • diagonal • skew lines • prism • base • pyramid • parallel • solid • polyhedron • edge • face Main Idea/Vocabulary

  2. Identify Relationships Name a plane that is parallel to plane GKJ. In order for a plane to be parallel to plane GKJ , it cannot intersect it. Answer: Therefore, plane LPN is parallel to plane GKJ. Example 1

  3. A B C D Name a plane that is parallel to plane QUXT. A. plane QRST B. plane UVWX C. plane QRVU D. plane RVWS Example 1

  4. Identify a segment that is skew to JN. Identify Relationships Skew lines cannot intersect and cannot be coplanar. Answer: Therefore, segment LM is skew to segment JN. Example 2

  5. A B C D A. B. C. D. Example 2

  6. Identify Relationships Identify two sets of points between which a diagonal can be drawn. A diagonal connects two opposite points on parallel planes. Answer: Lines drawn between points G and N and points L and J would form diagonals. Example 3

  7. A B C D Identify a set of points between which a diagonal can be drawn. A. points S and Q B. points V and X C. points Q and W D. points R and W Example 3

  8. Identify Prisms and Pyramids Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices. Answer: The figure has two parallel congruent bases that are octagons, so it is an octagonal prism. The other eight faces are rectangles. It has a total of 10 faces, 24 edges, and 16 vertices. Example 4

  9. A B C D Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices. A.triangular prism; 2 triangular faces, 3 rectangular faces, 9 edges, and 6 vertices B.pentagonal pyramid; 3 triangular faces, 2 rectangular faces, 9 edges, and 6 vertices C.rectangular prism; 2 triangular faces, 3 rectangular faces, 9 edges, and 6 vertices D.cylinder; 2 triangular faces, 3 rectangular faces, 9 edges, and 6 vertices Example 4

  10. Identify Prisms and Pyramids Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices. Answer: The figure has one base that is a rectangle, so it is a rectangular pyramid. The other four faces are triangles. It has a total of 5 faces, 8 edges, and 5 vertices. Example 5

  11. A B C D Identify the solid. Name the number and shapes of the faces. Then name the number of edges and vertices. A.triangular prism; 1 pentagonal base, 3 triangular faces, 10 edges, and 6 vertices B.pentagonal pyramid; 1 pentagonal base, 5 triangular faces, 10 edges, and 6 vertices C.rectangular prism; 1 pentagonal base, 5 triangular faces, 9 edges, and 6 vertices D.octagonal prism; 8 triangular faces, 1 pentagonal face, 9 edges, and 6 vertices Example 5

  12. Analyze Drawings ARCHITECTUREThe plans for a hotel fireplace are shown below. Draw and label the top, front, and side views. Answer: Example 6

  13. A B C D A. B. C. D. ARCHITECTURE The plans for a building are shown below. Draw and label the top, front, and side views. Example 6

  14. A B C D (over Lesson 7-3) Find the area of the figure shown. Round to the nearest tenth if necessary. A.18 cm2 B.27 cm2 C.36 cm2 D.45 cm2 Five Minute Check 1

  15. A B C D (over Lesson 7-3) Find the area of the figure shown. Round to the nearest tenth if necessary. A.25 mi2 B.36 mi2 C.67 mi2 D.74 mi2 Five Minute Check 2

  16. A B C D (over Lesson 7-3) What is the area of the figure shown at the right? Round to the nearest tenth if necessary. A.80.5 in2 B.85.7 in2 C.161.0 in2 D.105.0 in2 Five Minute Check 3

  17. End of Custom Shows

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