Name:______________________________
Date:__________________Per:__________
X-Geometry Chapter 3 Individual Quiz #2 Study Guide
1. Examine the diagram below:
Part a: Write an accurate similarity statement for the two triangles in the diagram above.
Part b: Explain why the triangles are similar using a triangle similarity rule.
2. In the similar right triangles below, n = 60. Solve for x if h = 36. Be sure to show all work.
E
S
h
x
n
M
24 in.
3. Determine whether the pair of triangles below is similar. If they are similar, explain why,
using a triangle similarity rule. If not, state why you know they are not similar or why there is
not enough information.
R
2
A
N
8
2
O
7
35
P
K
4. In the figure at right, CBD and CAE are similar.
A
If BC = 7, AC = 30, and AE = 27, what is the length of
B
BD? Show all work.
E
D
C
5. In the space below, draw an example of two triangles that can be proven similar by the S-S-S
Similarity rule. Be sure to label all measurements and indicate what the zoom factor is.
6. In the space below, draw an example of two triangles that can be proven similar by the S-A-S
Similarity rule. Be sure to label all measurements and indicate what the zoom factor is.
True/False Questions
Write the word “True” or “False” on the line.
F
7. True or False?
A
73
_________ △ABC ~ △FDE.
B
38
69
C
38
D
E
8. True or False?
___________ All rectangles are similar.
9. True or False?
____________ All squares are similar.
10. True or False?
____________ In similar triangles, the corresponding side lengths must always be equal.