• 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

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. D

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

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. 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

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. 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

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

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