Name __________________________________________________________________ Date ______________________
Geometry CP Midterm Review #7: Chapter 7 – Proportions and Similarity
1)
3𝑥−5
4
2)
𝑥−2
4
=
=
−5
7
𝑥+4
2
3) The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28. What is
the number of goats?
4) The ratio of the measures of the sides of a triangle is 7:9:12, and its perimeter is 84 inches. Find the measure of
each side of the triangle.
5) The ratio of the measures of three angles is 5:7:8. Find the measure of each angle of the triangle.
6) A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 2 feet of the bridge. If
the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge.
7) The two triangles in the figure below are similar. Find the value of x.
8) Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not,
explain your reasoning.
9) Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
10) To estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and tree’s shadow
end at the same point. Dave is 6 feet 4 inches tall and his shadow is 15 feet long. If he is standing 66 feet away
from the tree, what is the height of the tree?
11) Find x and y.
12) Find x.
13) Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor of the
dilation.