Download Unit 2 Triangle Similarity Study Guide

Name: ________________________ Class: ___________________ Date: __________
Unit 2 Triangle Similarity Study Guide
Short Answer
1. Determine whether the triangles are similar. If the are, write a similarity statement.
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. In the figure below, ABC  A' B ' C ' 
Which statement is true of the transformation from ABC to A' B ' C '?
a.
b.
c.
d.
The measures of all corresponding angles change by a scale factor of 2.
1
The measures of all corresponding angles change by a scale factor of .
2
The lengths of all corresponding sides change by a scale factor of 2.
1
The lengths of all corresponding sides change by a scale factor of .
2
1
ID: A
Name: ________________________
____
ID: A
2. What is the value of x ?
a.
b.
c.
4.5
7.5
10
d.
e.
10.5
12.5
____
3. One way to show that two triangles are similar is to show that ______.
a. two angles of one are congruent to two angles of the other
b. two sides of one are proportional to two sides of the other
c. a side of one is congruent to a side of the other
d. an angle of one is congruent to an angle of the other
____
4. Describe the transformation M:  x, y    x,  y  .
a. A translation one unit down and one unit to the right.
b. A reflection across the x-axis.
c. A rotation 180 with center of rotation  0, 0  .
d. A dilation with a scale factor 1 and center  0, 0  .
____
5. This drawing illustrates ______.
a.
b.
AA Similarity
SAS Congruence
c.
d.
2
SSS Similarity
SAS Similarity
Name: ________________________
____
6. The postulate or theorem that can be used to prove that the two triangles are similar is _____.
a.
b.
____
____
ID: A
SAS Similarity
ASA Congruence
c.
d.
SSS Similarity
AA Similarity
7. Use the Angle-Angle Similarity Postulate to determine which pair of triangles is not similar.
a.
c.
b.
d.



8. Which of the following proportions could be used as a given to show that AB  DF ?
a.
b.
c.
d.
DE
DF
DA
BE
DA
AE
EF
DF
AE
AB
AE

BE
FB

BE
EB

AB

3
Name: ________________________
____
ID: A
9. ABD  CBD. Name the theorem or postulate that justifies the congruence.
a.
ASA
b.
AAS
c.
SAS
c.
d.
115
155
Find the measure of AED.
____ 10.
a.
b.
25
65
4
d.
HL
Name: ________________________
ID: A
____ 11.
Consider that lines a and b are parallel. What is the measurement of 12?
a. 42
c. 76
b. 62
d. 104
____ 12.
a.
b.
7
7.5
Find the length of AD in the diagram shown.
c. 9
d. 16.5
5
Name: ________________________
ID: A
____ 13.
Solve for x in the diagram shown.
a.
15
b.
16
1
3
c.
16
d.
17
2
3
Multiple Response
Identify one or more choices that best complete the statement or answer the question.
____
1. Which of the following statements are true, given A  X and C  Z ?
a.
b.
c.
d.
e.
B  Y
ABC  XYZ
ABC  XYZ
AC  XZ
There exists a sequence of dilations and rigid motions that maps
6
ABC onto
XYZ .