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Congruent Triangles and Angles Practice

Total questions: 20

Worksheet time: 17mins

Name
Class
Date
1.

Name the corresponding angle.

a)

FG\overline{FG}

b)

G\angle G

c)

F\angle F

d)

E\angle E

2.

Name the corresponding side.

a)

WV\overline{WV}

b)

VX\overline{VX}

c)

XW\overline{XW}

d)

W\angle W

3.

Which of the following has the correct angles and sides marked according to the congruence statement:

 ΔFEDΔPQR\Delta FED\cong\Delta PQR  

a)
b)
c)
d)
4.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
5.

What are the different parts of an isosceles triangle?

a)

1 leg, 2 vertex angles, 1 base, and 2 base angle

b)

1 leg, 2 vertex angles, 2 bases, and 1 base angle

c)

2 legs, 1 vertex angle, 1 base, and 2 base angles

d)

2 legs, 1 vertex angle, 2 bases, and 1 base angle

6.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
7.
If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
8.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

9.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

10.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

11.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

12.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes- RHS

c)

Yes - ASA

d)

Yes - AAS

13.

Which is not a test for congruence?

a)

AAS

b)

SSS

c)

AAA

d)

SAS

14.

Which one of these has an included side?

a)

ASA

b)

SAS

c)

AAS

d)

RHS

15.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
16.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
17.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
HL
d)
Not Possible
18.

Given the two triangles, which statement is true by CPCTC?

a)

 ACB   DFE\angle ACB\ \cong\ \angle\ DFE  

b)

  BAC   FDE\angle\ BAC\ \cong\ \angle\ FDE  

c)

 CAB FED\angle CAB\ \cong\angle FED  

d)

 ABC   DEF\angle ABC\ \cong\ \angle\ DEF  

19.

Which postulate can be used to prove triangle GEF is congruent to triangle GJH?

a)

SAS

b)

ASA

c)

AAS

d)

Not congruent

20.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB