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Congruent Triangle Postulates

Total questions: 39

Worksheet time: 1hrs 16mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
2.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
3.
What is the correct congruence statement for these congruent triangles?
a)
ΔRTS ≅ΔEFD
b)
ΔRTS ≅ΔFDE
c)
ΔRTS ≅ΔFED
d)
ΔRTS ≅ΔDEF
4.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Corresponding Parts of Canadian Triangles are Cool
d)
Congruent Parts of Corresponding Parts are Corresponding
5.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
6.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
7.
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
8.
The common segment between two angles
a)
included angle
b)
included side
c)
SAS
d)
AAS
9.
If two angles and a non-included side of a triangle is congruent to two angles and a non-included side of another triangle, then the triangles are congruent by:
a)
CPCTC
b)
ASA
c)
SAS
d)
AAS
10.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
11.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
12.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
13.
Which of the following justifications cannot be used to prove two triangles are congruent
a)
SSS
b)
AAS
c)
AAA
d)
ASA
14.
Which triangle congruence postulate is shown?
a)
SAS
b)
ASA
c)
SSS
d)
SSA
15.
Which triangle congruence postulate proves that triangle PRS is congruent to triangle QRS?
a)
HL
b)
SAS
c)
SSA
d)
AAS
16.
Which triangle congruence postulate is shown?
a)
ASA
b)
HL
c)
SSS
d)
SAS
17.
Which triangle congruence proves triangle ABC congruent triangle XYZ?  
a)
ASA
b)
not necessarily congruent
c)
AAA
d)
SSS
18.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
19.
Congruent by
a)
SSS
b)
not necessarily congruent
c)
ASA
d)
AAS
20.
What additional information is required to prove the 2 triangles are congruent by SAS
a)
A)
b)
B)
c)
C)
d)
D)
21.
What additional information is required to prove the 2 triangles are congruent by ASA
a)
A)
b)
B)
c)
C)
d)
D)
22.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
23.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
24.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
25.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
SSA
d)
Not Possible
26.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
27.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
28.
Remember order matters. Which of the following is true?
a)
∆JLK ≅ ∆XWJ
b)
∆LJK ≅ ∆JWX
c)
∆JKL ≅ ∆JXW
d)
∆LKJ ≅ ∆JXW
29.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
HL
30.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
HL
b)
SSA
c)
SAS
d)
AAS
31.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
32.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
33.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
34.
∆PRQ≅∆SRT
a)
TRUE
b)
FALSE
35.
PR≅RT
a)
TRUE
b)
FALSE
36.
QP≅ST
a)
TRUE
b)
FALSE
37.
Solve for x
a)
5
b)
4
c)
3
d)
2
38.
Solve for y
a)
2
b)
3
c)
4
d)
5
39.
Figures that have the same _____ and size are congruent triangles. 
a)
corresponding
b)
corners
c)
angles
d)
shape