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SS Geometry - CHAPTER 4

Total questions: 80

Worksheet time: 2hrs 24mins

Name
Class
Date
1.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

2.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

3.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

4.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

5.

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

6.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

AAA

b)

AAS

c)

ASA

d)

Not necessarily congruent

7.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SAS

b)

SSS

c)

Both SSS and SAS

d)

Not necessarily congruent

8.

What is the missing piece of information required to prove these triangles congruent?

a)

QY ≅ QY

b)

NY ≅ PY

c)

∠N ≅ ∠P

d)

QY is the perpendicular bisector

9.

Classify the triangle below according to its side lengths.les

a)

equitateral

b)

isosceles

c)

right

d)

scalene

10.

 Given: WXJK, YXIK, XKGiven:\ \overline{WX}\cong\overline{JK},\ \overline{YX}\cong\overline{IK},\ \angle X\cong\angle K  
Which of the following lists the correct triangle congruence?

a)

 ΔWXYΔKIJ\Delta WXY\cong\Delta KIJ  

b)

 ΔWXYΔIKJ\Delta WXY\cong\Delta IKJ  

c)

 ΔWXYΔJKL\Delta WXY\cong\Delta JKL  

d)

 ΔWXYΔIJK\Delta WXY\cong\Delta IJK  

11.

What is the measure of angle R in the image shown?

a)

57°57\degree

b)

59°59\degree

c)

65°65\degree

d)

68°68\degree

12.

Suppose one base angle of an isoceles triangle has a measure of 44°.  What is the measure of the vertex angle?

a)

108°

b)

92°

c)

56°

d)

44°

13.

Classify  ΔADB\Delta ADB 

a)

acute

b)

equiangular

c)

obtuse

d)

right

14.

Classify ΔBCD\Delta BCD  

a)

acute

b)

equiangular

c)

obtuse

d)

right

15.

Classify ΔABC\Delta ABC  

a)

acute

b)

equiangular

c)

obtuse

d)

right

16.

Find x and the measures of the unknown sides of the triangle.

a)

x=11 RS and RT=30x=11\ \ \overline{RS}\ and\ \overline{RT}=30

b)

x=12 RS and RT=31x=12\ \overline{RS}\ and\ \overline{RT}=31

c)

x=13 RS and RT=32x=13\ \overline{RS}\ and\ \overline{RT}=32

d)

x=12 RS and RT=32x=12\ \overline{RS}\ and\ \overline{RT}=32

17.

Find the measure of  1\angle1  

a)

80°

b)

60°

c)

65°

d)

70°

18.

Find the measure of  2\angle2  

a)

140°

b)

110°

c)

120°

d)

115°

19.

Find the measure of  3\angle3  

a)

75°

b)

80°

c)

82°

d)

79°

20.

Find the value of x.

a)

14

b)

2

c)

15

d)

3

21.

Find the value of v.

a)

52

b)

63

c)

76

d)

68

22.

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not possible

23.

Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

e)

Not possible

24.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
25.
Name this triangle.
a)
A
b)
B
c)
C
d)
D
26.
Classify the following triangle in as many ways as possible. 
a)
Right, Equilateral
b)
Obtuse, Scalene
c)
Obtuse, Equilateral
d)
Right, Scalene
27.
Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
28.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
29.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
30.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
31.
a)

acute

b)

obtuse

c)

right

32.
a)

acute

b)

obtuse

c)

right

33.
a)

equilateral

b)

isosceles

c)

scalene

34.
a)

equilateral

b)

isosceles

c)

scalene

35.
a)

equilateral

b)

isosceles

c)

scalene

36.

A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?

a)

equilateral

b)

isosceles

c)

scalene

37.
Name this triangle
a)
Acute, Scalene
b)
Obtuse, Scalene
c)
Right, Isosceles
d)
Acute, Equilateral
38.
Name this triangle.
a)
Right, Isosceles
b)
Scalene, acute
c)
Isosceles, acute
d)
Equilateral, obtuse
39.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
40.
a)

47

b)

57

c)

53

d)

133

41.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

42.

If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

43.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
44.

Classify the triangle by both sides and angles (choose two answers).

a)

Right triangle

b)

Acute triangle

c)

Obtuse triangle

d)

Isosceles triangle

e)

Scalene triangle

45.

Judy bought a new tent for camping. The sides measure 4 ft by 3 ft by 4 ft. All angles are less than 90 degrees. Classify the triangle by its sides and angles.

a)

Isosceles, obtuse

b)

Scalene, right

c)

Equilateral, acute

d)

Isosceles, acute

46.

A triangle's sides measure 15 inches by 10 inches by 8 inches. It has one angle that measures 120 degrees. Classify the triangle by its sides and angles.

a)

Right, isosceles

b)

Equilateral, acute

c)

Obtuse, scalene

d)

Scalene, right

47.
What is m<1?
a)
25º
b)
75º
c)
115º
d)
65º
48.
Find the measure of the indicated angle. 
a)
80
b)
58
c)
42
d)
138
49.
Find the measure of the indicated angle. 
a)
89
b)
211
c)
119
d)
81
50.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

51.

What is the length of BC?

a)

6

b)

31

c)

29

d)

11

52.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

53.
Solve for x.
a)
16
b)
11
c)
50
d)
6
54.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
55.
Find the measure of the indicated angle. 
a)
87 degrees
b)
82 degrees
c)
83 degrees
d)
72 degrees
56.
Solve for x.
a)
-8
b)
-4
c)
-6
d)
-10
57.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
58.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
59.
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
60.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
61.
Are the two triangles congruent?
a)
Not enough information
b)
Yes, by SSA
c)
Yes by AAS
d)
Yes By ASA
62.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
63.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
64.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
65.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

66.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

67.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

68.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes - ASA

c)

Yes - SSS

d)

Not enough information

69.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

70.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

71.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Not enough information

d)

Yes - SAS

72.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes- RHS

c)

Yes - ASA

d)

Yes - AAS

73.
a)

L\angle L

b)

M\angle M

c)

N\angle N

74.
a)

G\angle G

b)

F\angle F

c)

E\angle E

75.
a)

G\angle G

b)

H\angle H

c)

I\angle I

76.
a)

D\angle D

b)

S\angle S

c)

R\angle R

77.

 ΔDCBΔ\Delta DCB\cong\Delta  

a)

IHG

b)

IGH

c)

GHI

d)

HGI

78.

 ΔRQPΔ\Delta RQP\cong\Delta  

a)

DPQ

b)

DQP

c)

PQD

d)

QDP

79.

 ΔIRSΔ\Delta IRS\cong\Delta  

a)

TSR

b)

TRS

c)

RST

d)

SRT

80.

Given ΔADCΔCBA\Delta ADC\cong\Delta CBA  , find the value of x.

a)

51

b)

13

c)

27

d)

21