Five-Minute Check (over Lesson 7–3)

Main Idea and Vocabulary

Example 1:Identify Relationships

Example 2:Identify Relationships

Example 3:Identify Relationships

Example 4:Identify Prisms and Pyramids

Example 5:Identify Prisms and Pyramids

Example 6:Analyze Drawings

• coplanar

• parallel

• solid

• polyhedron

• edge

• face

• Identify and draw three-dimensional figures.

• vertex

• diagonal

• skew lines

• prism

• base

• pyramid

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.

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.

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.

1. A

2. B

3. C

4. D0% 0%0%0%

A.

B.

C.

D.

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.

1. A

2. B

3. C

4. D

0% 0%0%0%

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.

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.

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

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.

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

Analyze Drawings

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

Answer:

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.

End of the Lesson

Five-Minute Check (over Lesson 7–3)

Image Bank

Math Tools

Volume of Pyramids, Cones, and Spheres

Making a Pyramid

Surface Area of Prisms

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)

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)

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)