Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Congruent Triangles

Total questions: 26

Worksheet time: 25mins

Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
4.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
7.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
AAS
c)
SAS
d)
SSS
8.
What additional information is required for the 2 triangles to be congruent by AAS?
a)
A
b)
B
c)
C
d)
D
9.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
10.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
ASA
b)
SSS
c)
SAS
d)
HL
11.
Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?
a)
No
b)
Yes, SSS
c)
Yes, HL
d)
Yes, SAS
12.

Which pair of triangles can be proven congruent by the ASA Postulate?

a)
b)
c)
d)
13.
When does one use CPCTC?
a)
Before triangles are congruent
b)
After triangles are congruent
c)
Whenever one wants, there are no restrictions
d)
There is no such thing as CPCTC
14.

HL can only be used for _______ triangles.

a)

acute

b)

right

c)

obtuse

d)

isosceles

15.

Given  ΔABC ≅ ΔJKL\Delta ABC\ \cong\ \Delta JKL , segment CB corresponds to _____.

a)

JK

b)

JL

c)

LK

d)

AB

16.

 ΔABC ≅ ΔGEO\Delta ABC\ \cong\ \Delta GEO 

 ∠BCA =\angle BCA\ =  ______

a)

 ∠GEO\angle GEO  

b)

 ∠OGE\angle OGE  

c)

 ∠EOG\angle EOG  

d)

 ∠ABC\angle ABC  

17.
a)

AB ≅ ABAB\ \cong\ AB

b)

CB ≅ BDCB\ \cong\ BD

c)

∠ABC ≅ ∠ABD\angle ABC\ \cong\ \angle ABD

d)

∠C ≅ ∠D\angle C\ \cong\ \angle D

18.

What additional information would prove the triangles congruent by HL?

a)

CB = DB

b)

AC = AD

c)

 ∠C≅∠D\angle C\cong\angle D  

d)

 ∠CAB≅∠DAB\angle CAB\cong\angle DAB  

19.

What additional information would prove the triangles congruent by SAS?

a)

CB = BD

b)

AC = AD

c)

∠C ≅∠D\angle C\ \cong\angle D

d)

∠CAB ≅∠DAB\angle CAB\ \cong\angle DAB

20.

Which triangle congruence shortcut doesn't work?

a)

HL

b)

AAA

c)

SAS

d)

AAS

21.
Identify common angles or sides
a)
Angle E
b)
Angle D
c)
Angle F
d)
Angle DGF
22.

Name a side or angle that is overlapping.

a)

AB

b)

BC

c)

DC

d)

∠DAC

23.
The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.
a)
Angle M
b)
Angle P
c)
Angle K
d)
Angle MLP
24.

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

e)

Cats Plus Cats Times Cats

25.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
No they are not congruent
d)
Not enough information to know for sure
26.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by ASA
c)
No they are not congruent
d)
Not enough information to know for sure