1. On which plane does the point (-4,0,2) lie?
A. xy-plane
B. xz-plane
C. yz-plane
D.xyz-plane
3. 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 2 cm and 4 cm and the height of the prism is 3 cm, what are the coordinates of the vertices of the prism?
A. (0,0,0), (2,0,0), (0,3,0), (0,0,4), (2,0,4), (0,3,4)
B. (0,0,0), (4,0,0), (0,2,0), (0,0,3), (4,0,3), (0,2,3)
C. (0,0,0), (2,0,0), (0,4,0), (0,0,3), (2,0,3), (0,4,3)
D. (0,0,0), (4,0,0), (0,4,0), (0,0,3), (2,0,3), (2,4,3)
4. A right rectangular prism has known vertices at these points: (1 point)
• (0,0,0)
(3.6,0,0)
(0,2.7,0)
(3.6,2.7,2.2)
What are the coordinates of the remaining vertices?
A. (2.7,3.6,0), (0,0,2.2), (2.7,0,2.2), (0,3.6,2.2)
B. (3.6,2.7,0), (0,0,2.7), (3.6,0,2.2), (0,2.2,2.7)
C. (2.7,2.2,0), (0,0,3.6), (2.7,0,3.6), (0,2.2,3.6)
D. (3.6,2.7,0), (0,0,2.2), (3.6,0,2.2), (0,2.7,2.2)
5. Find the distance between the following points: (6,-4,-1) and (-6,-4,5).
A.4
B.6
C. 6√5
C. 4√61
6. You and a friend are playing horseshoes on a very uneven lawn. You both throw a horseshoe toward a stake in the ground. Think of the point where the stake enters the ground as the origin. Your horseshoe lands 2.3 feet east of the origin, 1.5 feet north of the origin, and 0.5 feet below the origin. Your friend's horseshoe lands 1.7 feet west of the origin, 2.5 feet north of the origin, and 0.5 feet above the origin. What is the distance between the horseshoes?
A.√17 feet
B.3√2 feet
C.√33 feet
D.6 feet
7. Find the midpoint of the line segment joining the following two points: (0,0,0) and (7,-1.5,-2).
A.(1.75,-0.375,-0.5)
B. (3.5,-0.75, -1)
C.(7,-1.5,-2)
D.(14,-3,-4)