End Of Course Geometry Practice Test With Answers - North Thurston Public Schools Page 19
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30Day 18
Michael is 5 feet tall. Michael measures his shadow as 8 feet long. A tree in his backyard has a shadow
52.
that is 25 yards long. How tall is the tree?
Set up a proportion:
5 ½ ft
8 ft
0 A. 51.56 yards
Using cross products we find the tree’s height
0 B. 17.19 feet
. Since 17.1875 yards isn’t a choice, we
have to convert the yards to feet by multiplying by the
0 C. 51.56 feet
conversion factor of
, which gives us
0 D. 36.36 yards
(Related Tutorial Video:
Video
1)
25 yd
Look at the pair of triangles.
53.
B
A
D
C
Which statement is true?
0 A. The triangles are congruent.
0 B. The triangles are similar but not congruent.
0 C. The triangles are not similar or congruent.
0 D. There is not enough information to determine similarity or congruence.
(Related tutorial Videos:
See question
10)
Steven built a box for his vegetable garden in the shape of a rectangular prism. The volume of the
54.
vegetable garden was 24 cubic feet. He built another garden box that was two times longer and two times
higher. He thinks the volume will be twice as much.
Explain why Steven is not correct.
Volume=
By doubling 2
Volume =
dimensions, Steve has
actually increased the
Volume by a factor of 4
z
2z
y
x
y
2x
54 continued on next page
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