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

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Presentation on theme: "Main Idea/Vocabulary coplanar parallel solid polyhedron edge face Identify and draw three-dimensional figures. vertex diagonal skew lines prism base pyramid."— Presentation transcript:

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

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

3 1.A 2.B 3.C 4.D Example 1 A.plane QRST B.plane UVWX C.plane QRVU D.plane RVWS Name a plane that is parallel to plane QUXT.

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

5 1.A 2.B 3.C 4.D Example 2 A. B. C. D.

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

7 1.A 2.B 3.C 4.D Example 3 A.points S and Q B.points V and X C.points Q and W D.points R and W Identify a set of points between which a diagonal can be drawn.

8 Example 4 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.

9 1.A 2.B 3.C 4.D Example 4 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

10 Example 5 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.

11 1.A 2.B 3.C 4.D Example 5 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

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

13 1.A 2.B 3.C 4.D Example 6 ARCHITECTURE The plans for a building are shown below. Draw and label the top, front, and side views. A. B. C. D.

14 1.A 2.B 3.C 4.D Five Minute Check 1 A.18 cm 2 B.27 cm 2 C.36 cm 2 D.45 cm 2 Find the area of the figure shown. Round to the nearest tenth if necessary. (over Lesson 7-3)

15 1.A 2.B 3.C 4.D Five Minute Check 2 A.25 mi 2 B.36 mi 2 C.67 mi 2 D.74 mi 2 Find the area of the figure shown. Round to the nearest tenth if necessary. (over Lesson 7-3)

16 1.A 2.B 3.C 4.D Five Minute Check 3 A.80.5 in 2 B.85.7 in 2 C in 2 D in 2 What is the area of the figure shown at the right? Round to the nearest tenth if necessary. (over Lesson 7-3)

17 End of Custom Shows


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