WorksheetsTriangle Congruence
Total questions: 55
Worksheet time: 58mins
Name
Class
Date
1.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
2.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
3.
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
4.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
5.
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
6.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
7.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
8.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
11.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
A
b)
B
c)
C
d)
D
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
A
b)
B
c)
C
d)
D
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
d)
D
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
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.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
43.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
44.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
45.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
46.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
47.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
48.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
49.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
50.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
51.
Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.
a)
Yes, △ABC≅△NLM
b)
Yes, △CBA≅△NLM
c)
Yes, △CBA≅△MLN
d)
No
52.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
53.
When can we use the HL Congruence Theorem?
a)
Right Triangles
b)
Isosceles Triangles
c)
When we have a reflexive side
d)
SSA
54.
State if the two triangles are congruent. If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
55.
If AC≅PR what other piece of information do you need to prove the triangles are ≅ by HL Theorem?
a)
AC≅PR
b)
BC≅QR
c)
<A≅<P
d)
<C≅<R
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