A right triangular prism that has right triangles for bases is sketched in a three-dimensional coordinate system, as shown in the following image. If the legs of each triangular base are 4 in. and 5 in. and the height of the prism is 4in., what are the coordinates of the vertices of the prism? A. (0,0,0), (4,0,0), (0,4,0), (0,0,5), (4,0,5), (0.4.5) B.(0,0,0), (5,0,0), (0,5,0), (0,0,4), (5,0,4), (0,5,4) C. (0,0,0), (4,0,0), (0.5,0), (0,0,4), (4,0,4), (0,5,4) D. (0,0,0), (4,0,0), (0.5,0), (0.0.4). (4.0.4), (4,5.4)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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28. Select the sketch of a right rectangular prism with a height of 2 cm and bases that are 5 cm by 3 cm.

A. (0,0,0), (4,0,0), (0,4,0), (0,0,5), (4,0,5), (0,4,5)

B. (0,0,0), (5,0,0), (0,5,0), (0,0,4), (5,0,4), (0.5,4)

C. (0,0,0), (4,0,0), (0,5,0), (0,0,4), (4,0,4), (0,5,4)

D.(0,0,0), (4,0,0), (0,5,0), (0,0,4), (4,0,4), (4,5,4)

29. A right triangular prism that has right triangles for bases is sketched in a three-dimensional coordinate system, as shown in the following image.

If the legs of each triangular base are 4 in. and 5 in. and the height of the prism is 4in., what are the coordinates of the vertices of the prism?

A. (0,0,0), (4,0,0), (0,4,0), (0,0,5), (4,0,5), (0.4.5)

B.(0,0,0), (5,0,0), (0,5,0), (0,0,4), (5,0,4), (0,5,4)

C. (0,0,0), (4,0,0), (0.5,0), (0,0,4), (4,0,4), (0,5,4)

D. (0,0,0), (4,0,0), (0.5,0), (0.0.4). (4.0.4), (4,5.4)

30. A right rectangular prism has known vertices at these points:

(0,0,0)

(1.6,0,0)

(0,1.9,0)

(1.6,1.9,2.1)

What are the coordinates of the remaining vertices?

A. (19,1,6,0), (0,0,2.1), (1.9,0,2.1), (0,1.6,2.1)

B. (1.6,1.9,0), (0,0,2.1), (1.6,0,2.1), (0,1.9,2.1)

C.(1.6.2.1,0), (0,0,1.9), (1.6,0,1.9), (0,2.1,1.9)

D.(1.9.2.1,0), (0,0,1.6), (1.9,0,1.6), (0.2.1,16)

-5
5
x
-3 -2 -1
5
Со
-5
Z
-1
1
2 3
-4
10
У
Transcribed Image Text:-5 5 x -3 -2 -1 5 Со -5 Z -1 1 2 3 -4 10 У
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