Geometry
Name___________________________________ ID: 1
©v P2h0g2]0Z GKiuutXaw QSBo]frtEwnaQrFeu rLZLJCv.q m AAElal` IrnixgNhptlsY trJeXsPeLrrvWekdq.
C3 Test: Congruence and Similarity
Date________________ Period____
Determine if the two triangles are congruent. If they are, state how you know.
1)
2)
3)
4)
State what additional information is required in order to know that the triangles are congruent
for the reason given.
5) ASA
6) AAS
G
I
G
X
M
Y
Z
H
E
F
A) Z @ G
A) HI @ GM
B) X @ E
B) IGH @ MHG or I @ M
C) YZ @ FG
C) HI @ GM or IG @ MH
D) XY @ EF or ZX @ GE
D) IGH @ MHG
Complete each congruence statement by naming the corresponding angle or side.
WXY @ WXF
7)
SRT @ SJK
8)
Y
J
K
W
X
S
F
XY @ ?
T
-1-
R
TS @ ?
©L W2]0c2L0I pKBurtKaR VSboLfKt\waawryeD ILYLqCX.s a wAllMld RrXiegUhDtasS xrbedsxerrMvaeudE.G F [MFaNdNeE gw_iOtdhj rIOn^fuiwnciStces ZG[eQosmIeItxrXyq.
Worksheet by Kuta Software LLC
Write a correct congruence statement for these pairs of triangles.
9)
K
L
U
10)
J
J
R
I
Q
K
P
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
11)
12)
18
K
Q
M
7
8
16
T
50
U
R
12
L
D
8
84
4
C
E
9
V
KLM ~ ______
TUV ~ ______
The triangles in each pair are similar. Find the
missing length.
PQR ~ STU
13)
Solve for x. The triangles in each pair are
similar.
LMN ~ TSR
14)
T
T
R
x-7
9
13
S
48 °
S
L
U
?
R
12
M
16
N
26
48 °
Q
18
P
Worksheet by Kuta Software LLC
-2-
©w e2L0a2h0n KK\uftFaZ nSRoif`tkwKa_ryeG \LjLUC_.T c \ADlDlO nrIicgehltJsc br\ePsbeZrAvLeEdK.i u hM^aqddee twcietIhC kIwn[f`i[njistPeD HGxecoLmiehtvrEyj.
Answers to C3 Test: Congruence and Similarity (ID: 1)
1) SSS
2) SAS
4) ASA
5) D
8) KS
9) JKL @ KJU
11) similar; SSS similarity; CDE
14) 13
3) Not enough information
6) B
7) XF
10) JIK @ PQR
12) not similar
13) 8
Worksheet by Kuta Software LLC
-3-
©n e2x0]2]0d JKKuSt[ak aSconfvtIwxarrReM PLGLiCO.h x IAjlUll BrdimgGh^tKsw IrUessaearhvueTdV.o r [MfaJdPeu Mwuittshj UI\nVflitnoi\t]eu mGteooamYeZtKreyT.