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Geometry Congruent Triangles Review

Total questions: 29

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
2.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
3.
Solve for x
a)
5
b)
4
c)
3
d)
2
4.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
5.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
11.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
12.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
ASA
c)
SAS
d)
SSS
13.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
14.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
15.

What is the correct choice for Statement 4?

a)

⊿GHI ≅ ⊿JKL

b)

⊿GHI ≅ ⊿KLJ

c)

⊿GHI ≅ ⊿LJK

d)

⊿GHI ≅ ⊿LKJ

16.
∆ABC ≅ ∆LMN. Which statement is NOT true?
a)
LM ≅ AB
b)
∆CAB ≅ ∆NLM
c)
∠C ≅ ∠N
d)
BC ≅ ML
17.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
18.
State if the triangles are congruent and why.
a)
ASA
b)
AAS
c)
SAS
d)
Not congruent
19.

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

a)

SAS

b)

SSA

c)

HL

d)

Not Congruent

20.

Find the measure of ∠ B\angle\ B  

a)

30

b)

45

c)

60

d)

90

21.

Identify any common angles or sides

a)

JK‾\overline{JK}

b)

∠MJK\angle MJK

c)

LK‾\overline{LK}

d)

∠MKJ\angle MKJ

22.

Identify common angles or sides

a)

∠E\angle E

b)

∠D\angle D

c)

∠F\angle F

d)

∠DGF\angle DGF

23.

The red (ΔKNM) and blue (ΔPLM) triangles are congruent. Identify a common side or angle.

a)

∠M\angle M

b)

∠P\angle P

c)

∠K\angle K

d)

∠MLP\angle MLP

24.

Name the side or angle that is overlapping.

a)

UX‾\overline{UX}

b)

UV‾\overline{UV}

c)

VW‾\overline{VW}

d)

XW‾\overline{XW}

25.
Name a pair of overlapping congruent triangles and state how.  (Hint: they have to be overlapping)
a)
∆AQT ≅ ∆SQT by SAS
b)
∆TAR ≅ ∆TSP by AAS
c)
∆TAR ≅ ∆TSP by ASA
d)
∆AQT ≅ ∆SQT by SSA
26.
Find x
a)
10
b)
32
c)
116
d)
16
27.

Find the value of x.

a)

17°

b)

21°

c)

23°

d)

26°

28.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
29.

If all of the sides are congruent then all of the angles must also be congruent.

a)

true

b)

false