(7) Lesson 7.6

1. Course 2, Lesson 7-6
Draw a top, a side, and a front view of the solid.
1.
Draw the solid using the top, side, and front views
shown. Use isometric dot paper.
2.

2. Course 2, Lesson 7-6
ANSWERS
1.
2.

3. Geometry
Course 2, Lesson 7-6
HOW does geometry help us
describe real-world objects?

4. Course 2, Lesson 7-6 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and
Council of Chief State School Officers. All rights reserved.
Geometry
• 7.G.3
Describe the two-dimensional figures that result from slicing
three-dimensional figures, as in plane sections of right
rectangular prisms and right rectangular pyramids.
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of
others.
4 Model with mathematics.

5. • To identify three-dimensional figures
• To name the bases, faces, edges, and
vertices of a three-dimensional figure
Course 2, Lesson 7-6
Geometry

6. Course 2, Lesson 7-6
Geometry
• prism
• bases
• pyramid
• plane
• coplanar
• parallel
• polyhedron
• skew lines
• edge
• face
• vertex
• diagonal
• cylinder
• cone
• cross section

7. 1
Need Another Example?
2
3
4
5
Step-by-Step Example
1. Identify the figure. Name the bases, faces, edges,
and vertices.
The figure has two parallel congruent bases that are
triangles, so it is a triangular prism.
bases: ABE, FCD
faces: ABE, FCD, BCDE, FAED, ABCF
edges: AB, BE, EA, FC, CD, DF, BC, ED, AF
vertices: A, B, C, D, E, F

8. Answer
Need Another Example?
Identify the figure. Then name the bases, faces,
edges, and vertices.
octagonal prism;
bases: ABCDEFGH, IJKLMNOP
faces: ABCDEFGH, IJKLMNOP, ABKJ, BKLC,
CLMD, DMNE, ENOF, FGPO, GHIP, HAJI
vertices: A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P
edges: AB, BC, CD, DE, EF, FG, GH, HA, IJ, JK, KL,
LM, MN, NO, OP, PI, AJ, BK, CL, DM, EN, FO, GP, HI

9. 1
Need Another Example?
2
3
4
5
Step-by-Step Example
1. Identify the figure. Name the bases, faces, edges,
and vertices. Then, identify a pair of skew lines.
The figure has one base that is a pentagon, so it is a
pentagonal pyramid.
base: RSTUV
faces: RSTUV, QVR, QRS, QST, QTU, QUV
edges: QR, QS, QT, QU, QV, VR, RS, ST, TU, UV
vertices: Q, R, S, T, U, V

10. Answer
Need Another Example?
Identify the figure. Then name the bases, faces,
edges, and vertices.
rectangular pyramid;
bases: RSTU
faces: RSTU, QRS, QST, QTU, QRU
edges: RS, ST, TU, UR, QR, QS, QT, QU
vertices: Q, R, S, T, U

11. Need Another Example?
Step-by-Step Example
2. Identify the figure. Name the bases, faces, edges,
and vertices. Then, identify a pair of skew lines.
1
2
3
4
5
The figure has rectangular bases that are parallel and
congruent, so it is a rectangular prism.
bases: ABCD and EFGH, ABFE and DCGH,
ADHE and BCGF
faces: ABCD, EFGH, ABFE, DCGH, ADHE, BCGF
edges: AB, BC, CD, AD, EF, FG, GH, EH, AE, BF, CG, DH
vertices: A, B, C, D, E, F, G, H

12. Answer
Need Another Example?
Identify the figure. Then name the bases, faces,
edges, and vertices.
cone;
base: circle C
faces: none
edges: none
vertex: B

13. Need Another Example?
Step-by-Step Example
3.
1
2
3
Vertical Slice
The cross section is
a triangle.
Angled Slice
Horizontal Slice
The cross section is
a square.
The cross section is
a trapezoid.
Describe the shape resulting from a vertical, angled,
and horizontal cross section of a square pyramid.

14. Answer
Need Another Example?
Describe the shape resulting from a vertical, angled,
and horizontal cross section of a triangular pyramid.
vertical: rectangle; angled:
trapezoid; horizontal: triangle

15. How did what you learned
today help you answer the
Course 2, Lesson 7-6
Geometry
HOW does geometry help us
describe real-world objects?

16. How did what you learned
today help you answer the
Course 2, Lesson 7-6
Geometry
HOW does geometry help us
describe real-world objects?
Sample answers:
• To use vertices, edges, faces, and diagonals to
describe a real-world object
• To describe the shape resulting from a cross-section of
a real-world object

17. Explain how to
identify skew lines
in a figure.
Course 2, Lesson 7-6
Ratios and Proportional RelationshipsFunctionsGeometry