Unit 4 Practice Exam

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Unit 4 Practice Exam
Name: _________________________________
Date: _______ Period: ________
1. Given the triangles to the right, circle all of the conjectures that
can be used to show ABC~EFG?
A) AA~
B) SAS~
x
C) SSS~
D) ASA~
35cm
E) SSA~
2. Given that ACB~WZY, which of the following could be used to solve for x?
A
17.5
Y
20
C
x
15
W
7
Z
B
Proportions/Equation
Correct
Not Correct
Unit 4 Practice Exam
Name: _________________________________
Date: _______ Period: ________
3. Given Line AB is Parallel to Line ED, PROVE the triangles below are similar. If they are not
similar, explain what piece of information you would need to add to the diagram to prove
similarity.
4. Solve for x in the diagram above, or explain why it would be inappropriate to solve for x.
5. If possible, complete the similarity statement for each pair of triangles.
Then write and the similarity property that proves it. If not, say “not ~”.
a)
b)
Similarity Statement ABC
Similarity Statement
RST
Similarity Property____________
Similarity Property _____________
.
Unit 4 Practice Exam
Name: _________________________________
c)
Date: _______ Period: ________
d)
10
9
20
10
6
Similarity Statement
RLT
Similarity Property__________
18
Similarity Statement GHI
Similarity Property____________
6. Circle which pair(s) of triangles below are congruent? Cross which pair(s) are not.
.
Unit 4 Practice Exam
Name: _________________________________
Date: _______ Period: ________
7. Given that AX is parallel to NI, and M is the midpoint of NX, Cross out all of the triangle
congruence statements that can NOT be used to prove the triangles shown below are
congruent?
A) AAA
A
B) AAS
C) ASS
X
M
D) HL
N
E) ASA
F) SSS
I
8.
G) SAS
If possible, write the congruency statement for each pair of triangles.
Then write and the congruency property that proves it. If not, say “not
a. ABC
_________
by
.
b.
HFG
”.
__________by
.
Unit 4 Practice Exam
Name: _________________________________
9.
Complete the following proof.
* Mark the congruent sides and angles
in the above diagram with the appropriate
symbols as you complete the proof.
Date: _______ Period: ________
Unit 4 Practice Exam
Name: _________________________________
10. Use a 2 column proof to show that ACD
Date: _______ Period: ________
DBA.
11. Fill in the blanks to complete the proof below.
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