Unit 5 Practice Test-Congruent/Similar Triangles Name ___________
For numbers 1-5, decide if there is enough
information given to prove that the triangles are
congruent. If there is, tell which congruence
postulate you would use.
5.
1.
6.
2.
3.
4.
∆WFL, ∆WYL
7.
∆SRT , ∆URT
For numbers 8-10, decide if there is enough
information given to prove that the triangles are
similar. If there is, tell which similarity postulate
you would use and complete the similarity
statement.
For numbers 11-12, solve for the missing
measurement in the similar triangles.
11.
8.
KJ = ____
9.
12.
SB = ____
10.
13. What is the ratio of similarity (scale factor)
between the two similar figures below?
14. Find the missing measurement using the given
scale factor.
Use the congruent figures below to answer
questions 19-21.
15. Using the similar triangles below, solve for x.
19. BD ≅ _____
20. ∠ABD ≅ ∠ _____
21. ∆DCB ≅ ∆ _____
16. ∆ABC ~ ∆DEF , with a scale factor of 7:2
If AB = 14, find DE
17. ∆ABC ~ ∆DEF , with a scale factor of 1:2
If ∠A = 30°, find ∠D
18. ∆ABC ~ ∆DEF , with a scale factor of 5:4
If EF = 20, find BC
Review:
22. Which is the shortest side of the triangle?
23. Given
ABC ~ RST , find the perimeter of RST if the scale factor of ABC to RST is 4:3.
A)
B)
C)
D)
40.5
55
60.5
72
24. A 16-foot ladder leans against a wall 8 feet from the base of the wall. How high up the wall does
the ladder touch, rounded to the nearest foot?
A)
B)
C)
D)
8 ft
10 ft
14 ft
24 ft
25. What is the value of x? Round your answer to the nearest tenth.
A)
B)
C)
D)
E)
8.5 cm
11.2 cm
12.0 cm
17.0 cm
24.1 cm
12 cm