Free Printable Geometry Chapter 3 Review

1.

Which two angles are Same-Side Interior Angles

a)

Angles 2 and 3

b)

Angles 1 and 3

c)

Angles 3 and 7

d)

Angles 3 and 5

2.

Which are two Alternate Exterior Angles?

a)

Angles 1 and 6

b)

Angles 1 and 4

c)

Angles 1 and 8

d)

Angles 3 and 7

3.

Which are two Corresponding Angles?

a)

Angle 2 and 3

b)

Angle 1 and 2

c)

Angle 2 and 7

d)

Angle 2 and 5

4.

Which are two Alternate Interior Angles?

a)

Angles 2 and 6

b)

Angles 4 and 5

c)

Angles 4 and 7

d)

Angles 3 and 6

5.

What lines are parallel AJ? CLICK ALL THAT APPLY!

a)

BF

b)

EI

c)

AB

d)

FG

e)

DH

6.

Which lines are skew to JI? CLICK ALL THAT APPLY

a)

BF

b)

CD

c)

ED

d)

DH

e)

HG

7.

Find x

a)

80

b)

100

c)

90

d)

180

8.

What value of x proves that line p is parallel to line r?

a)

14

b)

12.5

c)

15

d)

25

9.

What is the slope of the line that is perpendicular to
y = 1/2(x) + 2.3

a)

-1/2

b)

-2

c)

2

d)

1/2

10.

Which of the following equations represents a line that is perpendicular to the line in the graph? Select all that apply

a)

y = -⅓ x + 5

b)

y = -3x + 7

c)

y = -3x + 1

d)

y = 3x + 5

11.

Are l1 and l2 perpendicular lines?

a)

Yes

b)

No

c)

I know, you have a 50/50 chance, you could just guess

d)

But it is YOUR test tomorrow that you will have to show work for

12.

What's the slope between the two points (1,4) and (3,9)

a)

-5/2

b)

-2/5

c)

5/2

d)

2/5

13.

What is the slope of this line?

a)

1

b)

-1

c)

(1,1)

d)

0

14.

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

15.

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

16.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

17.

If the slopes of two distinct nonvertical lines are equal, the lines are _____.

a)

perpendicular

b)

intersecting

c)

skew

d)

parallel

18.

Complete the statement. If a transversal intersects two parallel lines, then _____.

a)

corresponding angles are supplementary

b)

same-side interior angles are complementary

c)

alternate interior angles are congruent

d)

none of these

19.

Decide whether a triangle could have angle measures 46, 12, and 122. Explain your reasoning.

a)

Yes, the sum is less than 180.

b)

No, the sum is greater than 180.

c)

No, the sum is 180.

d)

Yes, the sum is 180.

20.

Tell whether these lines are parallel, perependicular or neither.

y=3x\ +\ 7\

y\ =\ 3x-3

a)

Parallel

b)

Perpendicular

c)

Neither

21.

Find the value of the exterior angle.

a)

25

b)

75

c)

65

d)

10

22.

Given the equation of a line as 6x + 3y = – 9, what is the equation of a line parallel to this line going through

point (2, 3)?

a)

y = -2x + 7

b)

y = 2x + 7

c)

y = -1/2x + 7

d)

y = -1/2x + 7

23.

Given the equation of a line as 8x – 2y = –10, what is the equation of a line perpendicular to this line going through point (-4, 6)?

a)

y = 4x + 5

b)

y = -4x + 5

c)

y = -1/4x + 5

d)

y = 1/4x + 5

24.

Which lines are parallel?

a)

a || c

b)

d || e

c)

a || c and d || e

d)

a || b || c and d || e

25.

Nonadjacent exterior angles that lie on opposite sides of the transversal

a)

Alternate Interior Angles

b)

Exterior Angle of a Polygon

c)

Alternate Exterior Angles

d)

Corresponding angles

26.

Nonadjacent interior angles that lie on opposite sides of the transversal

a)

Alternate Interior Angles

b)

Exterior Angle of a Polygon

c)

Alternate Exterior Angles

d)

Corresponding Angles

27.

A line added to a diagram to help explain relationships in proofs

a)

Perpendicular Lines

b)

Auxiliary Line

c)

Parallel Lines

d)

Transversal

28.

Angles that lie on the same side of the transversal (t) and in corresponding positions

a)

Corresponding Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Perpendicular Lines

29.

An angle formed by a side and an extension of an adjacent side

a)

Alternate Exterior Angles

b)

Perpendicular Lines

c)

Exterior Angle of a Polygon

d)

Alternate Interior Angles

30.

Co-planar lines that do not intersect. The symbol || means "is parallel to"

a)

Auxiliary Line

b)

Parallel Lines

c)

Perpendicular Lines

d)

Skew Lines

31.

Lines that intersect and form right angles

a)

Perpendicular Lines

b)

Parallel Lines

c)

Transversal

d)

Auxiliary Line

32.

y - y ₁= m (x-x₁), where m is the slope and (x₁, y₁) is a point on the line

a)

Same-Side Interior Angles

b)

Point-Slope Form of a Line

c)

Slop-Intercept Form

d)

Skew Lines

33.

Interior angles that lie on the same side of the transversal

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same-Side Interior Angles

34.

Noncoplanar; they are not parallel and do not intersect

a)

Parallel Lines

b)

Skew Lines

c)

Perpendicular Lines

d)

Auxiliary Lines

35.

A line that intersects two more co-planar lines at distinct points

a)

Perpendicular Lines

b)

Parallel Lines

c)

Skew Lines

d)

Transversal

36.

What proves that line a is parallel to line b?

a)

Corresponding Angles Theorem

b)

Converse of Corresponding Angles

c)

Alternate Exterior Angles Theorem

d)

Converse of Alternate Exterior Angles

37.

Name the relationship between ∠2 and ∠7.

a)

corresponding angles

b)

alternate interior angles

c)

alternate exterior angles

d)

vertical angles

38.

Find m∠SVW

a)

84°

b)

116°

c)

74°

d)

104°

39.

In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?

a)

angle 2 = 45 degrees

b)

angle 3 = 135 degrees

c)

angle 8 = 135 degrees

d)

angle 5 = 135 degrees

40.

Name the angle relationship.

a)

Same-side Interiors

b)

Corresponding

c)

Alternate Interiors

d)

Linear Pairs

41.

Perpendicular lines ...

a)

will never intersect

b)

intersect to form right angles

c)

are curved lines

42.

Parallel lines ...

a)

will never intersect

b)

intersect to form right angles

c)

are curved lines

43.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

44.

What is the measure of ∠8?

a)

55

b)

155

c)

135

d)

45

45.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

46.

What is the measure of ∠6?

a)

55

b)

155

c)

45

d)

135

47.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

48.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

supplementary angles

c)

corresponding angles

d)

vertical angles

49.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

50.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

51.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

52.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

53.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

54.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

55.

Solve for y.

a)

y = 55

b)

y = 35

c)

y = 70

d)

y = 110

56.

Find y.

a)

80

b)

100

57.

Find x.

a)

80

b)

100

58.

In order to prove that line v is parallel to line w, which of the following conditions must be true?

a)

Angle 4 is congruent to angle 5

b)

Angle 2 is congruent to angle 3

c)

Angle 1 is congruent to angle 7

d)

Angle 4 is congruent to angle 6

59.

How is line KJ related to line EF

a)

Parallel

b)

Skew

c)

Perpendicular

d)

They are not related

60.

How is line EA related to line EH

a)

Parallel

b)

Skew

c)

Perpendicular

d)

They are not related

61.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

62.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

63.

Write an equation
with a slope of 5 through point (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

64.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

65.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

66.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

67.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

68.

y = 5/7x +2
y = 5/7x - 30
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

69.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Coincide

70.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

71.

What does "b" represent in y=mx+b

a)

y-intercept

b)

perpendicular

c)

nothing

d)

slope

72.

What is the slope a horizontal line?

a)

-1

b)

undefined

c)

1

d)

0

73.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=-2/3x-3

74.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

75.

Find x.

a)

95

b)

85

c)

35

d)

45

76.

Find the measure of angle D.

a)

140 degrees

b)

16 degrees

c)

40 degrees

d)

90 degrees

77.

Find $m\angle F$

a)

48

b)

87

c)

32

d)

40

78.

Solve for x.

a)

116

b)

14.6

c)

25

d)

54

79.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

80.

Find the missing angle.

a)

29°

b)

39°

c)

49°

d)

59°

81.

Find $m\angle B$

a)

140

b)

30

c)

110

d)

85

82.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

83.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

84.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

85.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

86.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

87.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

88.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

89.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y₁₌ m(x-x₁₎

90.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

91.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

92.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

93.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

94.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

95.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

96.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

97.

Find the slope given the points (3,2) and (4,7).

a)

4

b)

5

c)

-5

d)

1/5

98.

What is the slope formula?

a)

b)

c)

d)

99.

What does the slope tell you about the line?

a)

Steepness

b)

Direction

c)

Rate of change

d)

All of the above

100.

What direction is an undefined slope?

a)

horizontal

b)

vertical

101.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

102.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

103.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

104.

Vertical or horizontal?
x = -3

a)

vertical

b)

horizontal

c)

neither

105.

Vertical or horizontal?
y = 10

a)

vertical

b)

horizontal

c)

neither

106.

Vertical or horizontal?
y = 2

a)

vertical

b)

horizontal

c)

neither

107.

Vertical or horizontal?
y = 2x + 3

a)

vertical

b)

horizontal

c)

neither

108.

Vertical or horizontal?
Slope of 0

a)

vertical

b)

horizontal

c)

neither

109.

What is the equation of the line?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

110.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

Geometry Chapter 3 Review

Total questions: 110

Worksheet time: 7hrs 54mins

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