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CH 7 Quiz Review
1.) There are 238 juniors at a high school. The ratio of girls to boys in the junior class is 3:4. How many
juniors are girls? How many are boys?
2.) The sides of a rectangle are in the ratio 2:5. The perimeter of the rectangle is 70 cm. What is the width of
the rectangle?
3.) The measures of the angles of a triangle are in the extended ratio 6 : 1 : 5. What is the measure of the largest
angle?
SOLVE FOR X IN THE FOLLOWING:

4.)
y y6

3
8
7.)
x
5

Hint: Quad Formula
4 x  9
5.)
x2 3

8
4
6.)
8.)
8
6

2y  3 y  4
x
3

*Hint: Solve by Factoring
1 2x  7

9.) List all pairs of congruent angles and list all of the ratios of corresponding sides given the
triangles are similar.
Determine whether the polygons are similar. If so, write a similarity statement and give the
scale factor. If not, explain.
10.)
11.)
The following figures are similar. Determine the values of the variables.
12.)
13.)
14.) For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft.
The Parthenon is 228 ft long. How long should you make the building in your scale drawing?
15.) Determine if the following triangles are similar. If so state the reason.
a.)
b.)
Draw two triangles that must be similar due to the following Postulate/Theorem
16.) SAS of Similarity
Complete the following proofs:
18.) Given: RM || SN, RM  MS , SN  NT
Prove: RSM ~ STN
19.) Given: AB 
1
1
AD , AC  AE
3
3
Prove: ABC ~ ADE


17.) SSS of similarity
20.) At 4:00 P.M. Karl stands next to his house and measures his shadow and the house’s
shadow. Karl’s shadow is 8 ft long. The house’s shadow is 48 ft long. If Karl is 6 ft tall, how
tall is his house?
21.) Solve for x
22.) Solve for x
a.)
b.)