wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

GEOMETRY UNIT 3: ANGLES AND LINES REVIEW

Total questions: 75

Worksheet time: 2hrs 14mins

Name
Class
Date
1.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
2.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
3.

If both lines are parallel and angle 1 = 27o

Find the measure of angle 4.

a)

27o

b)

153o

c)

63o

d)

90o

4.
Solve for y.
a)
y = 55
b)
y = 35
c)
y = 70
d)
y = 70
5.

What is the measure of ∠8? (both lines are parallel to each other).

a)

55

b)

155

c)

135

d)

45

6.

What is the measure of ∠6? (both lines are parallel)

a)

55

b)

155

c)

45

d)

135

7.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
8.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
9.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
10.

What is the value of y?

a)

29

b)

119

c)

58

11.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
12.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
13.
If two lines are parallel their slopes are  ____________
a)
the same.
b)
negative reciprocals of each other.
14.
Are these lines parallel?
y = 12x + 4
y = 12x +14
a)
YES
b)
NO
15.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

16.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

17.
Are these lines perpendicular?
y = 4x + 2
y = (-1/4)x + 12
a)
YES
b)
NO
18.
Are these lines perpendicular?
y = (1/2)x + 2
y = -2x + 13
a)
YES
b)
NO
19.

What is the relationship between angle 7 and angle 11?

a)

Corresponding Angles Theorem

b)

Same Side Interior Angles Postulate

c)

Vertical Angles Theorem

d)

Alternate Exterior Angles Theorem

e)

Alternate Interior Angles Theorem

20.

What is the relationship between angle 16 and angle 3?

a)

Corresponding Angles Theorem

b)

Same Side Interior Angles Postulate

c)

Vertical Angles Theorem

d)

Alternate Exterior Angles Theorem

e)

Alternate Interior Angles Theorem

21.

What is the value of x in order to find the length of  VU\overline{VU}  

a)

2

b)

24

c)

-2

d)

16

22.

What is the measure of  VU\overline{VU}  

a)

2

b)

4.5

c)

16

d)

9

23.

What is the measure of XW\overline{XW}  

(a)  

24.

What is the measure of  AC\overline{AC}  

(a)  

25.

What is the measure of  LP\overline{LP}  

(a)  

26.

What is the measure of  CD\overline{CD}  

(a)  

27.

What is the measure of  SW\overline{SW}  

(a)  

28.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
29.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
30.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
31.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
32.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
33.
The line pictured has a(n) ______ slope.
a)
Undefined
b)
Zero
c)
Positive
d)
Negative
34.
The line pictured has a(n) ______ slope.
a)
Undefined
b)
Zero
c)
Positive
d)
Negative
35.
The line pictured has a(n) ______ slope.
a)
Positive
b)
Negative
c)
Undefined
d)
Zero
36.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
37.
The line pictured as a(n) ______ slope.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
38.
What is the slope of the line?
a)
7/-3
b)
7/3
c)
3/7
d)
-3/7
39.
Parallel lines have __________ slopes
a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
40.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
41.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
42.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
43.

The following represents slopes of two lines. Which answer choice describes the two lines?
 m=13m=-\frac{1}{3}  and  m=13m=-\frac{1}{3}  .

a)

Parallel

b)

Perpendicular

c)

Neither

44.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7
a)
Parallel
b)
Perpendicular
c)
Neither
45.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
46.
What is the slope of a line perpendicular to a line with slope -6/?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
47.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

48.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

49.

Which two lines are parallel?

a)

Line A and Line B

b)

Line A and Line C

c)

Line B and Line C

50.
What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)
a)
y = 1/4x + 6
b)
y = -4x + 7
c)
y = -4x + 2
d)
y = 1/4x -1 
51.
What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)
a)
y = 3x - 2
b)
y = -1/3x - 5
c)
y = 3x - 4
d)
y = -1/3x - 3
52.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
53.
What is the slope intercept form of this equation? 
3x - 4y = 24
a)
y = 3/4 x + 6
b)
y = 3/4 x - 6
c)
y = -3/4x + 6
d)
y = -3/4x - 6
54.
Write an equation 
m = 1/3 through (4, 4)
a)
y = -1/3x + 8/3
b)
y = 8/3x - 1/3
c)
y = 8/3x + 1/3
d)
y = 1/3x + 8/3
55.
Write an equation in slope intercept form of the line that passes through the two points given.
(6, 5)  (4, -3)
a)
y= 4x- 29
b)
y= 4x - 19
c)
y= 4x + 19
d)
y=-4x -19
56.
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
a)
parallel
b)
perpendicular
c)
neither parallel nor perpendicular
d)
both parallel and perpendicular
57.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

58.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

59.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

60.

Which of the following angles would NOT be congruent to the measure of  7\angle7 ?

a)

 2\angle2  

b)

 3\angle3  

c)

 6\angle6  

d)

 8\angle8  

61.

Which of the following is an example of corresponding angles?

a)

 8 and 4\angle8\ and\ \angle4  

b)

 5 and 7\angle5\ and\ \angle7  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 3 and 5\angle3\ and\ \angle5  

62.

Which of the following is NOT an example of supplementary angles?

a)

 7 and 8\angle7\ and\ \angle8  

b)

 2 and 3\angle2\ and\ \angle3  

c)

 1 and 7\angle1\ and\ \angle7  

d)

 6 and 4\angle6\ and\ \angle4  

63.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

 115°115\degree  

b)

 65°65\degree  

c)

 180°180\degree  

d)

Cannot be determined

64.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

 63°63\degree  

b)

 117°117\degree  

c)

 180°180\degree  

d)

Cannot be determined

65.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

 123°123\degree  

b)

 57°57\degree  

c)

 180°180\degree  

d)

Cannot be determined

66.

Find the value of x if the  m1 = 11x  9°m\angle1\ =\ 11x\ -\ 9\degree and the  m5 = 7x +9°m\angle5\ =\ 7x\ +9\degree .

a)

-4.5

b)

4.5

c)

1

d)

0

67.

Find the value of x if the  m1 = 12x+19°m\angle1\ =\ 12x+19\degree and the  m2 = 22x9°m\angle2\ =\ 22x-9\degree .

a)

-2.8

b)

2.8

c)

-5

d)

5

68.

Find the value of x if the  m3 = 4x+5°m\angle3\ =\ -4x+5\degree and the  m5 = 13x+39°m\angle5\ =\ -13x+39\degree .

a)

-3.8

b)

3.8

c)

-8

d)

8

69.

Corresponding Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

70.

Alternate Interior Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

71.

Alternate Exterior Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

72.

Vertical Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

73.

Linear Pairs are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

74.

Same Side Interior Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship

75.

Same Side Exterior Angles are

a)

congruent

b)

supplementary

c)

complementary

d)

there is no relationship