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Splash Screen. 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.

kendall-savage
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  1. Splash Screen

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

  3. 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

  4. 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

  5. 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

  6. A B C D A. B. C. D. Example 2

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

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

  14. 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

  15. End of the Lesson End of the Lesson

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