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WorksheetsTriangle Congruence
Total questions: 81
Worksheet time: 3hrs 13mins
Name
Class
Date
1.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
2.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
4.
Name the postulate that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
SSS
5.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
6.
State if the theorem you would use to determine that the two triangles are congruent.
a)
SAS
b)
SSS
c)
HL
d)
AAS
7.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
HL
c)
SSS
d)
AAS
8.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Congruent by AAS
9.
Name the postulate that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
Identify the correct triangle congruence theorem.
a)
ASA
b)
AAS
11.
Identify the correct triangle congruence theorem.
a)
ASA
b)
AAS
12.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
13.
How are the triangles congruent?
a)
SAS
b)
ASA
c)
HL
d)
SSS
14.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SAS
c)
AAS
d)
SSS
15.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
16.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SAS
c)
HL
d)
ASA
17.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
AAS
c)
SAS
d)
AAA
18.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SSS
c)
SAS
d)
HL
19.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSA
c)
ASA
d)
AAS
20.
What does SAS stand for?
a)
Side-Angle-Side
b)
Super-Awesome-Side
c)
Side-Angle-Supersized
d)
Sensationally Awesome Superman
21.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
22.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
23.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
24.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
25.
∠E ≅ ∠ __
a)
A
b)
B
c)
C
d)
D
26.
Which triangle congruence proves that the triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
27.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
28.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
AAS
c)
SAS
d)
AAA
29.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
30.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
31.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
32.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
33.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
34.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
35.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
36.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
37.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
38.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
39.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
40.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
41.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
42.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
43.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
44.
State if the two triangles are congruent. If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
45.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
46.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
47.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
48.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
49.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
50.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
51.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
52.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
53.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
54.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
55.
How are these two triangles congruent?
a)
Not enough information
b)
SAS
c)
ASA
d)
SSA
56.
Complete the congruence statement.
a)
ΔCRP
b)
ΔPCR
c)
ΔRPC
d)
ΔPRC
57.
Use the congruency statement to answer the following: < F = ___
a)
< H
b)
< I
c)
< G
d)
not congruent to another angle
58.
∆ABC ≅ ∆XYZ, which is true?
a)
AB ≅ XY
b)
AB ≅ YX
c)
AB ≅ XZ
d)
BC ≅ CB
59.
a)
A
b)
B
c)
C
d)
D
60.
Complete the statement. ∠E ≅ __
a)
< A
b)
< B
c)
< C
d)
< D
61.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
62.
Complete the congruence statement.
a)
A
b)
B
c)
C
d)
D
63.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
64.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
65.
If ∆AIG ≅ ∆QOW, WQ ≅?
a)
AI
b)
GI
c)
AG
66.
Given the diagram, which of the following is true?
a)
∆XSF ≅ ∆XTG
b)
∆SXF ≅ ∆GXT
c)
∆FXS≅ ∆XGT
d)
∆FXS ≅ ∆GXT
67.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
68.
Complete the congruence statement.
a)
<G
b)
<F
c)
<E
69.
Complete the Congruence Statment.
a)
KJ
b)
JI
c)
KI
70.
Complete the statement.
a)
CE
b)
CD
c)
DE
d)
< E
71.
Complete the statement.
a)
ΔDEF
b)
ΔFDE
c)
ΔEDF
d)
ΔFED
72.
Complete the statement.
a)
ΔGEF
b)
ΔFGE
c)
ΔEFG
d)
ΔEGF
73.
Complete the congruence statement.
a)
< Z
b)
< R
c)
< P
d)
< Q
74.
Complete the congruence statement.
a)
TU
b)
XZ
c)
YZ
d)
YX
75.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
76.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
77.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
not congruent
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
78.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not congruent
79.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
80.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
81.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
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