wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 2 Review - Congruence

Total questions: 84

Worksheet time: 7hrs 0mins

Name
Class
Date
1.

What postulate is appropriate to use in proving this pair of triangles?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

2.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SAS
b)
SSS
c)
ASA
d)
HL
3.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
ASA
c)
AAS
d)
SAS
4.
a)
Congruent by ASA
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
5.

ΔBIGΔLAD\Delta BIG\cong\Delta LAD  , which side is congruent to BG\overline{BG}  ?

a)

BI\overline{BI}  

b)

LA\overline{LA}  

c)

AD\overline{AD}  

d)

LD\overline{LD}  

6.

What is the name of the triangle congruent to ΔRPE\Delta RPE  ?

a)

ΔCFT\Delta CFT  

b)

ΔFTC\Delta FTC  

c)

ΔTFC\Delta TFC  

d)

ΔFCT\Delta FCT  

7.

What triangle congruence postulate or theorem justifies the congruency of ΔRTO and ΔBSO\Delta RTO\ and\ \Delta BSO ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

8.

What triangle congruence postulate or theorem justifies the congruency of ΔIELΔEIF\Delta IEL\cong\Delta EIF ?

a)

AAS Theorem

b)

ASA Postulate

c)

SAS Postulate

d)

SSS Postulate

9.

What parts of the triangles must be marked so that the triangles are congruent via SAS Postulate?

a)

B and P\angle B\ and\ \angle P  

b)

A and E\angle A\ and\ \angle E  

c)

G and N\angle G\ and\ \angle N  

10.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
11.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
12.

What is Side AB corresponding side?

a)

PR

b)

QR

c)

PQ

d)

AC

13.

The corresponding angle to angle C is:

a)

Angle Q

b)

Angle P

c)

Angle R

d)

none of the answers

14.

What angle is the corresponding angle to angle B?

a)

Angle P

b)

Angle R

c)

Angle Q

d)

Angle A

15.
ABC∼XYZ
Which angles corresponds to ∠A
a)
∠X
b)
∠Y
c)
∠Z
d)
∠B
16.
QRST∼XZWY
Which side corresponds to QT
a)
XZ
b)
ZW
c)
WY
d)
XY
17.

What angle corresponds to Angle E?

a)

Angle S?

b)

Angle T?

c)

Angle R

18.

Which congruence statement is written accurately for the figures?

a)

ΔABCΔRDS\Delta ABC\cong\Delta RDS

b)

ΔABCΔDSR\Delta ABC\cong\Delta DSR

c)

ΔABCΔSRD\Delta ABC\cong\Delta SRD

d)

ΔABCΔDRS\Delta ABC\cong\Delta DRS

19.
a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

20.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

21.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

22.

What type of triangle is shown?

a)

Isosceles

b)

Right

c)

Equilateral

d)

Scalene

23.

What Type of Triangle is this?

a)

Equilateral triangle

b)

Obtuse Triangle

c)

Acute Triangle

24.

What Type of Triangle is this?

a)

Equilateral triangle

b)

Obtuse Triangle

c)

Acute Triangle

25.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

26.
Find the measure of each angle indicated. 
a)
40°
b)
33°
c)
30°
d)
29°
27.

Given: ∆MAN ≅∆DEN

Then by CPCTC,

M\angle M\cong\angle  

a)

∠N

b)

∠D

c)

∠E

d)

∠A

28.

Solve for the question mark.

a)

? = 109

b)

? = 69

c)

? = 71

d)

? = 101

29.
Find the measure of the missing angle.
a)
139°
b)
66°
c)
138°
d)
116°
30.
Look at the sides of this triangle. What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
31.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
32.

Solve for x

a)

15

b)

20

c)

25

d)

30

33.

Find the value of x.

a)

25

b)

36

c)

47

d)

11

34.

The triangle is an equilateral triangle. What is the value of n?

a)

25.5

b)

48

c)

18

d)

3

35.

Find the measure of the indicated angle.

a)

135°135\degree  

b)

55°55\degree  

c)

45°45\degree  

d)

60°60\degree  

36.

Find the measure of the indicated angle.

a)

30°30\degree  

b)

25°25\degree  

c)

155°155\degree  

d)

65°65\degree  

37.

How many degrees is the angle with x + 71 ?

a)

44

b)

54

c)

74

d)

64

38.

How many degrees is the angle with 66 + x ?

a)

60

b)

30

c)

45

d)

70

39.

How much is the value of X?

a)

90

b)

45

c)

30

d)

1

40.

How much is the value of X?

a)

45

b)

60

c)

90

d)

15

41.

a)

29

b)

23

c)

17

d)

13

42.

Find the measure of angle A

a)

54

b)

58

c)

64

d)

68

e)

72

43.
Solve for x.
a)
16
b)
11
c)
50
d)
6
44.
Find the measure of angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
45.
Solve for x
a)
28
b)
12
c)
10
d)
2
46.
What is the value of x?
a)
45
b)
8
c)
47
d)
50
47.

Find the value of y

a)

100

b)

180

c)

40

d)

50

48.

Find the value of y?

a)

16

b)

12

c)

4

d)

8

49.
Solve for x.
a)
16
b)
11
c)
50
d)
6
50.

Solve for x if Δ\Delta  ABC =  Δ\Delta  DEF

a)

4.5

b)

5

c)

5.5

d)

6

51.
Find x.
a)
x = 118
b)
x = 31
c)
x = 23
d)
x = 62
52.

Solve for x if  Δ\Delta  BAC = Δ\Delta  EDF

a)

1

b)

2

c)

3

d)

4

53.

Can you make a triangle out of angle measures 120º, 60º and 20º?

a)

Yes

b)

No

54.

Can you make a triangle out of angle measures 90º, 55º and 35º?

a)

Yes

b)

No

55.

Which of the following sets of angles does NOT form a triangle?

a)

90º, 40º and 50º

b)

100º, 70º and 10º

c)

30º, 30º and 130º

d)

50º, 100º and 30º

56.
How many triangles exist with the given angle measures?  55°, 45°, 90°
a)
No triangle exists
b)
Exactly one unique triangle exists
c)
More than one triangle exists
57.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
58.
Solve for x.
a)
16
b)
11
c)
50
d)
6
59.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
60.
Look at the sides of this triangle. What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
61.
Look at the sides of this triangle. What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
d)
Obtuse
62.

What type of triangle is shown?

a)

Isosceles

b)

Right-angled

c)

Equilateral

d)

Scalene

63.

In an ______________ triangle, all three angles are less than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

64.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

65.

What kind of triangle is this?

a)

acute

b)

right

c)

obtuse

d)

360 degrees

66.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
67.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
68.
If a triangle has one angle greater than 90° and no equal sides, what type of triangle is it?
a)
Acute Isosceles
b)
Acute Scalene
c)
Obtuse Scalene
d)
Obtuse Isosceles
69.
If a triangle has all three angles equivalent and all three sides equivalent, what type of triangle is it?
a)
Acute Isosceles
b)
Equilateral
c)
Obtuse Scalene
d)
Obtuse Isosceles
70.

Identify the triangle by its sides and angles.

a)

Obtuse Equilateral

b)

Obtuse Isosceles

c)

Isosceles

d)

Acute Scalene

71.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Right Equilateral

72.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

73.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

74.

Identify the triangle by its sides and angles

a)

Acute Equilateral

b)

Right Equilateral

c)

Acute Isosceles

d)

Obtuse Isosceles

75.

Identify the triangle by its sides and angles

a)

Obtuse

b)

Acute Isosceles

c)

Obtuse Scalene

d)

Obtuse Isosceles

76.

In a triangle, how many total degrees are there?

a)

100 °\degree

b)

180 °\degree

c)

360 °\degree

d)

It varies on the type of triangle

77.

State if the 3 sides form an acute, obtuse, or right triangle.


5, 12, 13

a)

acute

b)

right

c)

obtuse

78.

State if the 3 sides form an acute, obtuse, or right triangle.


9, 14, 15

a)

acute

b)

right

c)

obtuse

79.

State if the 3 sides form an acute, obtuse, or right triangle.


3.6, 7.4, 8.5

a)

acute

b)

right

c)

obtuse

80.

State if the 3 sides form an acute, obtuse, or right triangle.


3, 12, 13

a)

acute

b)

right

c)

obtuse

81.

State if the 3 sides form an acute, obtuse, or right triangle.


3, 3, 5

a)

acute

b)

right

c)

obtuse

82.

State if the 3 sides form an acute, obtuse, or right triangle.


6, 8, 10

a)

acute

b)

right

c)

obtuse

83.

State if the 3 sides form an acute, obtuse, or right triangle.


9, 14, 15

a)

acute

b)

right

c)

obtuse

84.

State if the 3 sides form an acute, obtuse, or right triangle.


6.6, 11.2, 13

a)

acute

b)

right

c)

obtuse