Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Congruence of triangles

Total questions: 32

Worksheet time: 32mins

Name
Class
Date
1.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
2.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
AAS
d)
HL
3.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
4.

Are these triangles congruent?

a)

Yes, by SSS

b)

Yes, by SAS

c)

Yes, by AAS

d)

Yes, by RHS

5.

ΔWXZ ≅ Δ_____ by _____

a)

ΔWXY , SAS

b)

ΔWXY , ASA

c)

ΔWZY , SAS

d)

Cannot Be Determined

6.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
7.

Which postulate can we use to prove the two triangles are congruent?

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

8.

Which Triangle Congruence Criteria do the triangles meet?

a)

ASA

b)

SAS

c)

SSS

9.

Which Triangle Congruence Criteria do the triangles meet?

a)

ASA

b)

SAS

c)

SSS

10.

Which of the following statements are true of the image

a)

 ΔPRQ≅ΔSTU\Delta PRQ\cong\Delta STU  

b)

 ΔRQP≅ΔSTU\Delta RQP\cong\Delta STU  

c)

 ΔQPR≅ΔTSU\Delta QPR\cong\Delta TSU  

d)

 ΔPQR≅ΔSUT\Delta PQR\cong\Delta SUT  

11.

Find the measure of  DF‾.\overline{DF}.  

a)

14 meters

b)

None of these.

c)

19 meters

d)

16 meters

12.

Find the measure of  ∠GJH.\angle GJH.  

a)

 105°105\degree  

b)

Cannot be determined.

c)

 34°34\degree  

d)

 41°41\degree  

13.

Which of the following shows the correct triangle congruence criteria?

a)

ASA

b)

SSA

c)

RHS

d)

AA

e)

None of the above

14.

The two triangles are congruent via:

a)

SSS

b)

SAS

c)

AAA

d)

HL

e)

Not enough information

15.
Are the triangles congruent?
a)
Yes
b)
No
16.

If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :

a)

Angle A

b)

Angle B

c)

Angle C

d)

None of these

17.

Which angle is included between the sides QR and PR of ∆PQR?

a)

Angle R

b)

Angle P

c)

Angle Q

d)

None of these

18.

What is the side included between the angles M and N of ∆MNP?

a)

MN

b)

NP

c)

MP

d)

None of these

19.

Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other.

The above is known as :

a)

SSS congruence of two triangles.

b)

SAS congruence of two triangles.

c)

ASA congruence of two triangles.

d)

None of these.

20.

Which of the following is NOT a congruency criteria for triangles ?

a)

SSS

b)

AAA

c)

ASA

d)

SAS

21.

Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle.

The above is known as :

a)

SSS congruence of two triangles.

b)

SAS congruence of two triangles.

c)

ASA congruence of two triangles.

d)

None of these.

22.
What does SAS stand for?
a)
Side-Angle-Side
b)
Super-Awesome-Side
c)
Side-Angle-Supersized
d)
Sensationally Awesome Superman
23.
If you add up all of the angle measures in a triangle the total would be..... 
a)
360 degrees
b)
180 degrees 
24.

∆ABC ≅ ∆XYZ. By which critieria?

a)

SAS

b)

ASA

c)

SSS

d)

SSA

25.

∆PRT ≅ ∆ZPQ. Then side PT will be equal to?

a)

ZQ

b)

QZ

c)

ZP

d)

PQ

26.

A Square and a Circle are congruent to each other.

a)

True

b)

False

27.

All equilateral triangles are congruent to each other.

a)

True

b)

False

28.

Figures that have the same _____ and size are congruent triangles

a)

corresponding

b)

angles

c)

shape

d)

corner

29.

Which is NOT one of the five criteria used to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

30.
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
31.

What does RHS stand for?

a)

Right angle-Hypotenuse-Side

b)

Right angle-Height-Side

c)

Right angle-Hypotenuse-Set

d)

Right angle-Height-Set

32.

What does ASA stand for?

a)

Angle-Side-Angle

b)

Side-Angle-Angle

c)

Armadillo-Snake-Aardvark

d)

Apple-Sauce-Almonds