Download - Main Idea/Vocabulary
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• coplanar
• parallel• solid• polyhedron• edge• face
• Identify and draw three-dimensional figures.
• vertex• diagonal• skew lines• prism• base• pyramid
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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.
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A. plane QRST
B. plane UVWX
C. plane QRVU
D. plane RVWS
Name a plane that is parallel to plane QUXT.
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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.
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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.
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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.
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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.
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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
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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.
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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
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Analyze Drawings
ARCHITECTURE The plans for a hotel fireplace are shown below. Draw and label the top, front, and side views.
Answer:
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ARCHITECTURE The plans for a building are shown below. Draw and label the top, front, and side views.
A.
B.
C.
D.
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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)
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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)
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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)
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