main idea/vocabulary

17
coplanar parallel solid polyhedron edge face Identify and draw three-dimensional figures. vertex diagonal skew lines prism base pyramid

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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. - PowerPoint PPT Presentation

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Page 1: Main Idea/Vocabulary

• coplanar

• parallel• solid• polyhedron• edge• face

• Identify and draw three-dimensional figures.

• vertex• diagonal• skew lines• prism• base• pyramid

Page 2: Main Idea/Vocabulary

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.

Page 3: Main Idea/Vocabulary

1. A

2. B

3. C

4. D

0% 0%0%0%

A. plane QRST

B. plane UVWX

C. plane QRVU

D. plane RVWS

Name a plane that is parallel to plane QUXT.

Page 4: Main Idea/Vocabulary

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.

Page 5: Main Idea/Vocabulary

1. A

2. B

3. C

4. D

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A.

B.

C.

D.

Page 6: Main Idea/Vocabulary

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.

Page 7: Main Idea/Vocabulary

1. A

2. B

3. C

4. D

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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.

Page 8: Main Idea/Vocabulary

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.

Page 9: Main Idea/Vocabulary

1. A

2. B

3. C

4. D0% 0%0%0%

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

Page 10: Main Idea/Vocabulary

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.

Page 11: Main Idea/Vocabulary

1. A

2. B

3. C

4. D0% 0%0%0%

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

Page 12: Main Idea/Vocabulary

Analyze Drawings

ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.

Answer:

Page 13: Main Idea/Vocabulary

1. A

2. B

3. C

4. D

0% 0%0%0%

ARCHITECTURE The plans for a building are shown below. Draw and label the top, front, and side views.

A.

B.

C.

D.

Page 14: Main Idea/Vocabulary

1. A

2. B

3. C

4. D0% 0%0%0%

A. 18 cm2

B. 27 cm2

C. 36 cm2

D. 45 cm2

Find the area of the figure shown. Round to the nearest tenth if necessary.

(over Lesson 7-3)

Page 15: Main Idea/Vocabulary

1. A

2. B

3. C

4. D0% 0%0%0%

A. 25 mi2

B. 36 mi2

C. 67 mi2

D. 74 mi2

Find the area of the figure shown. Round to the nearest tenth if necessary.

(over Lesson 7-3)

Page 16: Main Idea/Vocabulary

1. A

2. B

3. C

4. D

0% 0%0%0%

A. 80.5 in2

B. 85.7 in2

C. 161.0 in2

D. 105.0 in2

What is the area of the figure shown at the right? Round to the nearest tenth if necessary.

(over Lesson 7-3)

Page 17: Main Idea/Vocabulary