Geometry
Name___________________________________ ID: 1
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C3 Review: Congruence and Similarity
Date________________ Period____
Determine if the two triangles are congruent. If they are, state how you know.
*HINT* Look for vertical angles and shared sides, they are always congruent!!
1)
2)
3)
4)
State what additional information is required in order to know that the triangles are congruent
for the reason given.
*HINT* Look for vertical angles and shared sides, they are always congruent!!
5) SAS
6) SSS
S
J
R
I
B
D
J
Q
I
H
C
H
A) JH @ DB
B) HI @ BC or JH @ DB
C) IJ @ CD
D) J @ D
A) RS @ IH or SQ @ HJ
B) S @ H
C) R @ I
D) SQ @ HJ
Worksheet by Kuta Software LLC
-1-
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7) AAS
8) SAS
K
T
P
Q
P
R
Q
V
U
A) TU @ RQ or UV @ QP
B) TU @ RQ or VT @ PR
C) U @ Q
D) T @ R or U @ Q
R
A) QRP @ QRK
B) QR @ QR
C) P @ K
D) PQR @ KQR
Complete each congruence statement by naming the corresponding angle or side.
XWV @ WXC
9)
KJL @ TLR
10)
C
R
J
W
X
K
T
L
JL @ ?
V
VX @ ?
Write a statement that indicates that the triangles in each pair are congruent.
11)
H
G
12)
Q
V
C
P
B
R
T
A
Worksheet by Kuta Software LLC
-2-
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State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
13)
14)
P
K
130
R
143
60
66
J
L
S
84
B
Q
182
R
JKL ~ ______
A
RQP ~ ______
The triangles in each pair are similar.
Give the similarity ratio from the smaller triangle to the larger one, then find the missing length.
MLK ~ SRQ
15)
FGH ~ FKL
16)
L
Q
9
26
90
K
R
S
28
?
H
F
L
120
98
M
G
?
K
Worksheet by Kuta Software LLC
-3-
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Solve for x. The triangles in each pair are similar.
17)
JKL ~ JEF
18)
22
L
E
C
12
3 + 6x
11
6
K
B
55
L
J
J
2x - 3
33
F
35
26
K
UVW ~ RQP
19)
13
R
JKL ~ JDE
20)
D
Q
13
44 °
9
L
80
J
P
W
V
10
E
14x + 6
K
63
44 °
22x + 3
U
Worksheet by Kuta Software LLC
-4-
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