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Congruent Triangles Practice

Total questions: 36

Worksheet time: 36mins

Name
Class
Date
1.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

2.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

3.

What is the correct congruence statement? ΔLEU≅______

a)

ΔLGE

b)

ΔLEG

c)

ΔELG

d)

Not Congruent

4.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

5.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
6.
a)
A
b)
B
c)
C
d)
D
7.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
10.

These two triangles are congruent. If ∠C is 40o find the measure of ∠F. Hint... be sure to find the measure of ∠F.

a)
40o
b)
50o
c)
90o
d)
45o
11.
This symbol means congruent
a)
≅
b)
≠
c)
∠
d)
Δ
12.

Given: ΔABC≅ΔDEF\Delta ABC\cong\Delta DEF   Select ALL the true statements.

a)

∠C≅∠E\angle C\cong\angle E  

b)

CA≅DFCA\cong DF  

c)

∠E≅∠B\angle E\cong\angle B  

d)

BC≅DFBC\cong DF  

e)

∠A≅∠D\angle A\cong\angle D  

13.

Find y.

a)
2
b)
3
c)
4
d)
5
14.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
15.

If ΔEHG≅ΔKFC\Delta EHG\cong\Delta KFC , which statement is true? 

a)

EH‾≅FK‾\overline{EH}\cong\overline{FK}  

b)

HG‾ ≅ KF‾\overline{HG}\ \cong\ \overline{KF}  

c)

EG‾ ≅ KC‾\overline{EG}\ \cong\ \overline{KC}  

d)

∠E≅∠C\angle E\cong\angle C  

16.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
17.

Are these triangles congruent?

a)

Yes

b)

No

c)

Not enough informaiton

18.
These triangles are congruent. If ∠A is 48o what is the measure of ∠F?
a)
48o
b)
38o
c)
84o
d)
94o
19.

What does SSS stand for?

a)

Small Small Small

b)

Side Side Side

c)

Small Side Small

d)

Sam's Silly Side

20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
21.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
22.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
23.
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
24.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

25.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
26.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
27.
All corresponding angles in congruent figures are congruent.  
a)
True
b)
False
28.
What does x equal?
a)
9
b)
11
c)
17
29.

Which side of ΔYDW corresponds with side AC in ΔABC  

a)

Side YW

b)

Side DW

c)

Side YD

30.

Determine the relationship of the figures.

a)

Congruent

b)

Not Congruent

c)

Similar

31.
Look at the sides of this triangle. What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
32.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

33.
What is the value of x?
a)
51
b)
49
c)
78
34.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
35.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
36.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS