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Worksheets

Chapter 6 review

Total questions: 154

Worksheet time: 9hrs 53mins

Name
Class
Date
1.
Identify the angle pair.
a)
Complementary angles
b)
Congruent angles
c)
Linear Pair/Consecutive Angles
d)
Vertical Angles
2.
Identify the angle pair.
a)
complementary angles
b)
linear pair
c)
supplementary 
d)
vertical angles
3.
Identify the angle pair.
a)
adjacent angles
b)
complementary angles
c)
linear pair
d)
vertical angles
4.
Identify the angle pair
a)
adjacent angles
b)
complementary angles
c)
consecutive angles
d)
supplementary angles
5.
Identify the angle pair
a)
Adjacent Angles
b)
Complementary Angles
c)
Supplementary Angles
d)
Vertical Angles
6.
Identify the angle pair
a)
Complementary Angles
b)
Congruent Angles
c)
Linear Pair/Consecutive Angles
d)
Vertical Angles
7.
Identify the m<XWY
a)
610
b)
900
c)
510
d)
1610
8.
Identify the m<DAC.
a)
1330
b)
900
c)
330
d)
430
9.
Identify the m<STR
a)
1430
b)
1880
c)
820
d)
980
10.
Identify the m<MNL
a)
520
b)
900
c)
1280
d)
1420
11.
Use an algebraic equation to find the measure of the angle labeled x.
a)
1800
b)
900
c)
600
d)
450
12.
Identify the m<UOV
a)
640
b)
720
c)
360
d)
1000
13.
When two lines intersect, they form two pairs of "opposite" angles called _________ angles.  Example: <AOB and <COD
a)
Complementary
b)
Supplementary
c)
vertical
d)
Adjacent
14.
What angle relationship is shown?
a)
Complementary 
b)
Supplementary
c)
Vertical
d)
None of the above
15.
What type of angle pair is shown?
a)
complementary
b)
supplementary
c)
vertical
16.

Use an algebraic equation to find the measure of the two angles.

a)

x = 90-16 ; 16°and 74°

b)

x + x - 16 = 180; 98 °and 82°

c)

2x - 16 = 90; 53° and 37°

d)

x = x -16; 8° and 16°

17.

Use an algebraic equation to find the measures of both angles

a)

x = 3x - 20; 10° and 10°

b)

4x - 20 = 90; 27.5° and 62.5°

c)

4x - 20 = 180; 50° and 130°

d)

4x - 20 = 180; 150° and 30°

18.

What equation would you use to find the value of x?

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

19.

Solve for x.

a)

74

b)

53

c)

37

d)

13

20.
What equation would you use to find the value of x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
21.

Write and solve an equation to solve for x

a)

3x - 1 + x + 5 = 90 and x = 21.5

b)

3x - 1 + x + 5 = 180 and x = 44

c)

3x - 1 = x + 5 and x = 3

22.

Write and solve an equation to solve for x

a)

2x + 25 + 3x = 90 and x = 13

b)

2x + 25 + 3x = 180 and x = 31

c)

2x + 25 + 3x = 180 and x = 41

d)

2x + 25 = 3x and x = 25

23.

Solve for x.

(Only enter the number as your answer.)

(a)  

24.

Solve for y.

(Only enter the number as your answer.)

(a)  

25.

Solve for x.

(Only enter the number as your answer.)

(a)  

26.

Solve for x.

(Only enter the number as your answer.)

(a)  

27.

Solve for x.

(Only enter the number as your answer.)

(a)  

28.

What is x?

(Only enter the number as your answer.)

(a)  

29.

What is y?

(Only enter the number as your answer.)

(a)  

30.

Solve for x.

(Only enter the number as your answer.)

(a)  

31.

Solve for x.

(Only enter the number as your answer.)

(a)  

32.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

33.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

34.

Choose the similarity statement for the triangles.

a)

ΔMNL ∼ ΔOPQ

b)

ΔNOM ∼ ΔPQL

c)

ΔLMN ∼ ΔPQO

d)

ΔMLN ∼ ΔPQO

35.

Are the triangles similar?

a)

Yes

b)

No

36.

Are these figures similar?

a)

yes

b)

no

37.

Tell whether the two figures are similar. Explain your reasoning.

a)

Yes, similar because they are the same shape and side lengths are proportional.

b)

No, not similar because they are the same shape, but side lengths are not proportional.

c)

Yes, same shape

d)

No, different sizes

38.

Are Triangle ABC and Triangle XYZ similar?

a)

No, corresponding angles are not congruent

b)

No, corresponding sides are not proportional

c)

Yes, corresponding angles are congruent

d)

Yes, corresponding sides are proportional

39.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

40.

Find missing side

a)

5

b)

7

c)

9

d)

11

41.

Find side length X.

a)

16

b)

18

c)

2.4

d)

15

42.

Find side length X.

a)

30

b)

25

c)

15

d)

40

43.

Given that Triangle ABC is similar to Triangle DEF. Find the angle F.

a)

60⁰

b)

42⁰

c)

79⁰

d)

180⁰

44.

 ∠A = ≅

a)

∠M

b)

∠N

c)

∠L

45.

What is the missing side?

a)

-9

b)

12

c)

-1

d)

8

46.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

47.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

48.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

49.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

50.

Use the congruency statement to answer the following: 
∠F = ∠ ___

a)

H

b)

I

c)

G

d)

not congruent to another angle

51.
a)
A
b)
B
c)
C
d)
D
52.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
53.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
54.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
55.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
56.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
57.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
58.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
59.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
60.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
61.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
62.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
63.

Which method will not prove triangles are congruent?

a)

ASA

b)

SAS

c)

SSA

d)

AAS

64.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
65.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
66.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
67.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
68.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
69.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

70.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

71.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

72.

Classify the triangle shown in the picture by its angles.

a)

Obtuse

b)

Right

c)

Acute

d)

Equilateral

73.

Classify the triangle shown in the picture by its angles.

a)

Isosceles

b)

Obtuse

c)

Acute

d)

Right

74.

Classify the triangle shown in the picture by its sides.

a)

Equilateral

b)

Scalene

c)

Obtuse

d)

Isosceles

75.

Classify the triangle shown in the picture by its sides.

a)

Isosceles

b)

Obtuse

c)

Equilateral

d)

Scalene

76.

Solve for x

a)

x = 12

b)

x = 4

c)

x = 3.33

d)

x = 10

77.

Find the measure of Angle A.

a)

40°40\degree

b)

140°140\degree

c)

80°80\degree

d)

100°100\degree

78.

Use the Exterior Angle Theorem to find the value of x.

a)

117

b)

94

c)

149

d)

31

79.

Find the value of x.

a)

x = 27

b)

x = 53

c)

x = 49

d)

x = -16

80.

Find the measure of  T\angle\ T  

a)

71

b)

98

c)

109

d)

82

81.

Find the measure of  B\angle\ B  

a)

30

b)

45

c)

60

d)

90

82.

Name the side opposite of  C\angle\ C  

a)

Side AB

b)

Side BC

c)

Side AC

83.

Name the angle opposite side AB.

a)

 A\angle\ A

b)

 B\angle\ B

c)

 C\angle\ C

84.

Given the two triangles, which congruence statement is NOT true?

a)

AB  DFAB\ \cong\ DF

b)

DE  ACDE\ \cong\ AC

c)

Δ ABC  ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC Δ DEF\Delta ABC\ \cong\Delta\ DEF

85.

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  

86.

Use the Third Angles Theorem to find  mFm\angle F  

a)

55°55\degree

b)

42°42\degree  

c)

96°96\degree  

d)

83°83\degree  

87.

Use the Third Angles Theorem to find the value of x.

a)

x = 60

b)

x = 55

c)

x = 15

d)

x = 65

88.

Solve for x.

a)

x = 10

b)

x = 4

c)

x = 5

d)

x = 39

89.

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  

90.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
91.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
92.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
93.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
94.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
95.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
96.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
97.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
98.

ΔBIGΔLAD\Delta BIG\cong\Delta LAD  , which angle is congruent to B\angle B ?

a)

  G\angle G  

b)

L\angle L   

c)

A\angle A   

d)

D\angle D   

99.

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}  

100.

If ΔGAMΔERS\Delta GAM\cong\Delta ERS  , what angle is congruent to RES\angle RES  ?

a)

GAM\angle GAM  

b)

AGM\angle AGM  

c)

GMA\angle GMA  

d)

MAG\angle MAG  

101.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

102.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

103.
What is the correct definition of an angle? 
a)
one single ray
b)
two rays that meet at a single endpoint (vertex)
c)
two lines that never intersect
d)
two rays that go in opposite directions
104.
This angle is written as......
a)
 ∠ABC
b)
 ∠ACB
c)
∠BCA
d)
∠CAB
105.

What is the arrow pointing to in the angle?

a)

a ray

b)

geometry

c)

vertex

d)

line

106.
What does this represent?
a)
angle ABC
b)
triangle ABC
c)
arc ABC
d)
line ABC
107.
a)
Acute
b)
Right
c)
Obtuse
108.
Name this angle.
a)
acute
b)
right
c)
obtuse
d)
none of the above
109.
Which type of angle is pictured?
a)
Acute
b)
Right
c)
Obtuse
d)
Straight
110.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
111.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

112.

Choose the correct name for the angle marked 3.\angle3.  

a)

V\angle V  

b)

4\angle4  

c)

IVH\angle IVH  

d)

JVI\angle JVI  

113.

Determine the measure in degrees of the angle. Think: is it acute or obtuse?

a)

70o

b)

75o

c)

105o

d)

100o

114.

Determine the measure of the angle. Think: is it acute or obtuse?

a)

135o

b)

130o

c)

50o

d)

45o

115.
This angle is written as......
a)
Angle ABC
b)
Angle ACB
c)
Angle BCA
d)
Angle CAB
116.

Which term best describes the figure?

a)

Ray RST

b)

Line segment RST

c)

Angle RST

d)

Point RST

117.

Which names an obtuse angle in the figure?

a)

Angle JHG

b)

Angle FHJ

c)

Angle GHK

d)

Angle FHK

118.

Which names a straight angle in the figure above?

a)

Angle ABC

b)

Angle EBF

c)

Angle CBF

d)

Angle ABF

119.

Name the angle that is complementary to AOB\angle AOB

a)

BOC\angle BOC  

b)

AOC\angle AOC  

c)

BOC

d)

O\angle O  

120.
Name a pair of Supplementary Angles
a)
<TP & <LR
b)
<TCP & <PCT
c)
<TCR & <PCL
d)
<NCT & <NCP
121.
Which statement is always true about two congruent polygons?
a)
Corresponding sides are always congruent.
b)
Corresponding angles are always right angles.
c)
Corresponding sides are always parallel.
d)
They are the same shape but different size.
122.
Which statement is always true about two congruent polygons?
a)
The number of angles & sides is always the same.
b)
Corresponding sides are always parallel.
c)
Corresponding angles are always right angles.
d)
They can be different sizes.
123.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
124.
a)
B
b)
A
c)
D
d)
C
125.
a)
A
b)
B
c)
C
d)
D
126.
a)
A
b)
B
c)
C
d)
D
127.
a)
A
b)
B
c)
C
d)
D
128.
a)
A
b)
B
c)
C
d)
D
129.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

130.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
131.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

132.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

133.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

134.
What is the name of the RED line?
a)
RT
b)
RX
c)
TX
d)
Triangle TRX
135.
What does x equal?
a)
9
b)
11
c)
17
136.

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

a)

angle E

b)

angle F

c)

angle G

d)

angle H

137.

Solve the proportion:

a)

c = 4

b)

c = 8

c)

c = 14

d)

c = 10

138.
Solve for x 
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
139.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
140.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
141.
What is true about the sides of similar figures?
a)
Corresponding sides are proportional.
b)
Corresponding sides are congruent.
c)
Opposite sides are proportional.
d)
Opposite sides are congruent.
142.
The  term "corresponding" means ...
a)
congruent
b)
similar
c)
matching 
d)
multiply 
143.
What is true about the shape and size of similar figures?
a)
Same shape and same size
b)
Same shape and not the same size
c)
Different shape and same size
d)
Different shape and not the same size
144.

The _________tells us how many times larger or smaller a figure is from the original.

a)

Scale factor

b)

Angle

c)

Side lengths

d)

Units

145.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

146.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
147.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
148.
For the pair of similar figures, find the length of each side marked with a variable.
a)
1.8 in
b)
2.1 in
c)
9.8 in
d)
9.3 in
149.

CHALLENGE! Solve for x. (You will need to set up the proportion, and solve using the distributive property).

a)

x = 4

b)

x = 135

c)

x = 1/4

d)

x = 2

150.

what band is this?

a)

Weezer

b)

Alice In Chains

c)

Green Day

d)

Fleetwood Mac

151.

what band is this?

a)

Oasis

b)

Weezer

c)

Blur

d)

Black Sabbath

152.

what band is this?

a)

Foo Fighters

b)

Nirvana

c)

Weezer

d)

Alice in Chains

153.

What band is this?

a)

Blur

b)

Oasis

c)

Black Sabbath

d)

The Beatles

154.

What band is this?

a)

Green Day

b)

Fleetwood Mac

c)

Weezer

d)

The Toadies