Free Printable Geometry Review - Angle Pairs and Lines

1.

Choose an equation of the line that passes through the given point and the given slope.
(1,2) slope:3

a)

y=3x+1

b)

y=3x-1

c)

y=-3x-1

d)

y=1/3x-1

2.

Choose an equation of the line that passes through the given point and the given slope.
(2,-6) slope:-4

a)

y=4x+8

b)

y=4x-2

c)

y=-4x-8

d)

y=-4x+2

3.

Choose an equation in point-slope form for the line that passes through the given point with the slope provided. (6,3) Slope: 5

a)

y-3=5(x-6)

b)

y-1=-3(x+2)

c)

y-2=0(x+4)

d)

y-y1=m(x-x1)

4.

Choose an equation in point-slope form for the line that passes through the given point with the slope provided. (-2,1) Slope: -3

a)

y-3=5(x-6)

b)

y-1=-3(x+2)

c)

y-2=0(x+4)

d)

y-y1=m(x-x1)

5.

Choose an equation in point-slope form for the line that passes through the given point with the slope provided. (-4,2) Slope: 0

a)

y-3=5(x-6)

b)

y-1=-3(x+2)

c)

y-2=0(x+4)

d)

y-y1=m(x-x1)

6.

Choose the right equation in slope-intercept form. y-2=3(x-5)

a)

y=3x-13

b)

y=3x-3

c)

y=3x+5

d)

y=1/3x+2

7.

Choose an equation in slope-intercept form. y-12=-2(x-3)

a)

y=-2x+6

b)

y=2x+18

c)

y=-2x+18

d)

y=2x-6

8.

Create a Linear Equation between the points (-2, 4) and (3, 10)

a)

$y\ =\ \frac{6}{5}x\ +\ \frac{32}{5}$

b)

$y\ =\ -\frac{6}{5}x\ -\ \frac{32}{5}$

c)

$y\ =\ \frac{5}{6}x\ +\ \frac{5}{32}$

d)

$y\ =\ -\frac{5}{6}x\ +\ \frac{5}{32}$

9.

Create a Linear Function that is perpendicular to y = (1/2)x + 7 and goes through the point (4, -5)

a)

y = -2x + 3

b)

y = 2x - 3

c)

y = (1/2)x + 3

d)

y = (1/2)x - 3

10.

Find the slope of the line that passes through
(19, -2) and (-11, 10)

a)

-2/5

b)

2/5

c)

5/2

d)

-5/2

11.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

12.

Write the slope-intercept form of the equation with the given point and slope.

Through ( - 1,4 ) and m = - 3

a)

y = x - 3

b)

y = - 3x + 1

c)

y = x + 2

d)

y= - 3x + 4

13.

Write an equation
m = 5 through (-1, -3)

a)

y = 5x + 2

b)

y = -5x - 5

c)

y = -5x + 2

d)

y = 2x - 5

14.

Write an equation
m = 5/4 through (-4, -3)

a)

y = 5/4x +2

b)

y = -5/4x + 2

c)

y = 2x - 5/4

d)

y = 3/4x + 2

15.

Write equation of the line containing (-3,4) and (-1,-2)

a)

y = -3x - 5

b)

y = -3x + 1

c)

y = -3x + 13

d)

y = 3x + 1

16.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

a)

y = 2x + 2

b)

y = -2x - 2

c)

y = -2x + 2

d)

y = 2x - 2

17.

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

a)

y = 3x + 5

b)

y = -3x + 4

c)

y = -3x + 4

d)

y = 3x - 5

18.

Write the linear equation that is solved by both (−6, 2) and (0, 4):

a)

y = (1/3)x + 4

b)

y = (-1/3)x + 4

c)

y = -3x + 4

d)

y = 3x + 4

19.

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

a)

y= 8x - 5

b)

y= -8x + 25

c)

y= (1/8)x - 2

d)

y= (-1/8)x + 1

20.

Which equation has a line that would pass through both (8, 5) and (9, −1) ?

a)

y = 6x + 53

b)

y = −6x - 53

c)

y = (−4/5)x + 53

d)

y = −6x + 53

21.

Write the equation of the line that passes through the points (-2, -1) and (0, 5).

a)

y = 3x - 5

b)

y = 1/3x + 5

c)

y = 3x + 5

d)

y = 1/3x

22.

Write the equation of the line through the points (4, 5) and (12, 9).

a)

y = 2x - 3

b)

y = 1/2x + 3

c)

y = 1/2x +7

d)

y = 2x - 15

23.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

24.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

25.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

26.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

27.

Which two lines are parallel?

a)

Line A and Line B

b)

Line A and Line C

c)

Line B and Line C

28.

Which two lines are perpendicular?

a)

Line A and Line B

b)

Line B and Line C

c)

Line A and Line C

29.

The following two numbers are negative reciprocals of each other
2 and -1/2

a)

True

b)

False

30.

Find the slope of a line parallel to the line below.
y = 2x + 4

a)

2

b)

-1/2

c)

1/2

d)

-2

31.

Find the slope of a line perpendicular to the line below.
y = 2x + 4

a)

2

b)

-1/2

c)

1/2

d)

-2

32.

Find the slope of a line parallel to the line below
y = ½x + 4

a)

1/2

b)

-1/2

c)

2

d)

-2

33.

Find the slope of a line perpendicular to the line below
y = ½x + 4

a)

1/2

b)

-1/2

c)

2

d)

-2

34.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 5 and m = -1/5

a)

Parallel

b)

Perpendicular

c)

Neither

35.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = -1/3 and m = -1/3

a)

Parallel

b)

Perpendicular

c)

Neither

36.

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

37.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 3/4 and m = 4/3

a)

Parallel

b)

Perpendicular

c)

Neither

38.

The following represents slopes of two lines. Which answer choice describes the two lines?
m = 4 and m = -1/4

a)

Parallel

b)

Perpendicular

c)

Neither

39.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

40.

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

a)

Parallel

b)

Perpendicular

c)

Neither

41.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

42.

What angle corresponds to $\angle1$ ?

a)

$\angle7$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

43.

∠3 and ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

44.

Angle B and Angle R are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

45.

Angle C and Angle P are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

46.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle5$ ?

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

47.

Find y.

a)

50

b)

130

c)

180

d)

45

48.

Find the value of x.

a)

x = 100

b)

x = 47

c)

x = 90

d)

x = 133

49.

Which is the correct equation to solve for x?

a)

$2x-10=4x+16$

b)

$\left(2x-10\right)+\left(4x+16\right)=180$

c)

$\left(2x-10\right)+\left(4x+16\right)=90$

50.

Now, find the value of x.

a)

13

b)

-3

c)

29

d)

-13

51.

Which of the following equations can be used to find the value of x?

a)

$\left(x+16\right)+\left(4x-5\right)=90$

b)

$x+16=4x-5$

c)

$\left(x+16\right)+\left(4x-5\right)=180$

52.

Now solve for the value of x?

a)

7

b)

$3\ \frac{2}{3}$

c)

33.8

d)

15.8

53.

Which equation can be used to solve for x?

a)

$\left(3x\right)+\left(4x+19\right)=90$

b)

$\left(3x\right)+\left(4x+19\right)=180$

c)

$3x=4x+19$

54.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

55.

Which is the correct equation to solve for x?

a)

$5x-8=3x+32$

b)

$\left(5x-8\right)+\left(3x+32\right)=90$

c)

$\left(5x-8\right)+\left(3x+32\right)=180$

56.

Now, what is the value of x?

a)

20

b)

19.5

c)

5

d)

8.25

57.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

58.

Which two angles are supplementary

a)

∠1 and ∠3

b)

∠2 and ∠6

c)

∠4 and ∠6

d)

∠7 and ∠8

59.

Which two angles are alternate exterior?

a)

1 & 3

b)

2 & 6

c)

4 & 7

d)

7 & 1

60.

Solve for x.

a)

23

b)

-20

c)

32

d)

20

61.

What is the value of x?

a)

13

b)

6.2

c)

29.8

62.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=3.4

b)

Complementary; x=45

c)

Supplementary; x=20

d)

Supplementary; x=175

63.

Solve for x

a)

6

b)

140

c)

20

d)

90

64.

Supplementary angles add up to...

a)

$90\degree$

b)

$180\degree$

65.

Vertical angles are...

a)

equal

b)

not equal

66.

A line that passes through parallel lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

67.

Find x, then find the measurement of both angles.

a)

x = 30; both angles measure 118 degrees

b)

x = 30; both angles measure 114 degrees

c)

x = 20; both angles measure 112 degrees

d)

x = 20; both angles measure 110 degrees

68.

Name a line skew to FG

a)

EH

b)

DC

c)

AD

d)

FB

69.

What does collinear mean?

a)

Points on the same plane

b)

Two lines that never intersect

c)

Points on the same line

d)

Lines that cross each other

70.

What kinds of lines are pictured?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

71.

What are parallel lines?

a)

Two lines that never cross

b)

Two lines that intersect

c)

Two lines that intersect at 90 degrees

d)

Two lines

72.

What does perpendicular mean?

a)

Lines cross each other

b)

Lines cross at 90 degrees

c)

Lines never touch

d)

Lines are skew

73.

Name a line parallel to AD

a)

EH

b)

AB

c)

DC

d)

HG

74.

Name a line perpendicular to AD

a)

EH

b)

AB

c)

CG

d)

HG

75.

Name a line skew to AD

a)

EH

b)

AB

c)

CG

d)

EH

76.

Are lines j and k skew?

a)

yes

b)

no

77.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

Geometry Review - Angle Pairs and Lines

Total questions: 77

Worksheet time: 4hrs 51mins

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