Download Geometry CP Name: HR: ______

Quiz Review
Geometry CP
Name _____________________________
Covering 6.1-6.3, 6.6
Simplify the following.
1. 10 in : 2 ft
2.
3 𝑔𝑎𝑙𝑙𝑜𝑛𝑠
3. 75 cm : 2 m
10 𝑞𝑢𝑎𝑟𝑡𝑠
Use the number line to find the ratio of the distances.
4.
AB
CF
5.
BF
CD
6.
DE
AC
7.
BE
AD
8. The ratio of two supplementary angles is 4 : 5. What are the measures of the angles?
The measures of the angles of a triangle are in the extended ratio given. Find the measure of
the largest angle.
9. 7: 14: 15
10. 1: 7: 10
The ratio of the two side lengths is given. Solve for the variable.
11.
12.
Find the exact geometric mean of the two numbers. (Simplify your radicals!)
13. 10 and 12
14. 9 and 13
15. 7 and 14
Solve the following proportions.
16.
x2
4

8
x2
19.
x2
2

x
x3
17.
20.
7
x

12 48
 2x  x  4

18
x
22. Write the proportion in three other ways.
18.
14
2

y 5 5
21.
x  5 7x  2

3
5
x 4

5 2
23. List all pairs of congruent angles for the figures. Then write the ratios of the corresponding
sides in a statement of proportionality. WXYZ ~ MNOP
24. Determine whether the polygons are similar. If they are, write a similarity statement and
find the scale factor.
25. Multiple Choice Triangles ABC and DEF are similar. Which statement is not correct?
A)
AB BC

DE EF
B)
CA AB

FD DE
C) A  F
Find all possible values of the variables in the similar triangles.
26. CDE ~ FGH. Find x
28. ABC ~ PQR. Find x.
27. FGH ~ JKL. Find x.
29. The two triangles shown are similar.
Find m and n.
30. Swimming Pool The community park has a rectangular swimming pool enclosed by a
rectangular fence for sunbathing. The shape of the pool is similar to the shape of the
fence. The pool is 30 feet wide. The fence is 50 feet wide and 100 feet long.
a) What is the scale factor of the pool to the fence?
b) What is the perimeter of the pool?
In the diagram,
31. Find AB
32. Find GF
AB AG
AB AG

and

Find the unknown lengths.
CD FE
AC AF
Use the figure to complete the proportion. There are 3 triangles in this diagram and they are
all SIMILAR to each other.
33.
EF BA

FG
?
34.
CB
?

BA EF
35.
EB
?

FA FG
36.
EG
?

ED CB
37.
DC
?

FA AG
38.
GF GD

FA
?
Determine a value of the variable so that DE // BC
39.
40.
Find the value of the variable.
41.
42.
43.
Use the figure to determine the length of each segment. There are three triangles in this
diagram and they are ALL SIMILAR!
44. AG
45. FC
46. ED
47. AE