Free Printable Parallel Lines with Transversals & Parallel/Perpendicular Lines

1.

Are the lines 2x + y = 5 and 5x - 3y = 0 parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Cannot be determined

2.

Write an equation for the line parallel to y = x − 7 through the point (0, 4).

a)

y = x + 4

b)

y = x - 4

c)

y = x + 7

d)

y = x - 7

3.

Write an equation for the line perpendicular to y = x + 2 through the point (3, 2).

a)

y = -x + 5

b)

y = -x - 1

c)

y = -x + 8

d)

y = -x - 4

4.

Find the slopes of the lines y = -2x and y = x + 2.

a)

m1 = -2, m2 = 1

b)

m1 = 2, m2 = -1

c)

m1 = -2, m2 = -1

d)

m1 = 2, m2 = 1

5.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

can not be determined

6.

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

7.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

8.

What is the slope of the line PARALLEL a line with a slope of 1/2?

a)

2

b)

-2

c)

1/2

d)

-1/2

9.

What is the slope of the line that is PERPENDICULAR to a line with the slope of 1/4?

a)

4

b)

-4

c)

1/4

d)

-1/4

10.

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

d)

can not be determined

11.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

12.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

13.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

14.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

None

15.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

None

16.

Given the two parallel lines cut by a transversal.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

17.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

18.

a)

15

b)

16

c)

18

d)

19

19.

Given the two parallel lines cut by a transversal,

What is the measure of $\angle5$ ?

(a)

20.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

21.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

22.

Angle D and Angle W are...

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Same-Side Interior

23.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

24.

Which of these angles is NOT congruent to angle 5?

a)

Angle 6

b)

Angle 8

c)

Angle 1

d)

Angle 4

25.

Find m∠D.

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

26.

Find m ∠C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

27.

Angle 4 = x + 15

Angle 2 = 3x - 5

What is the value of x?

a)

5

b)

10

c)

25

d)

x + 15

28.

The definition of a linear pair includes

(select all that apply)

a)

Two angles share a vertex

b)

Two angles make a straight angle

c)

The sum of the measures of a linear pair are 180*

d)

Two angles that are complementary angles

29.

Select the pairs of angles that are Same Side Interior Angles. (Select all that apply)

a)

$\angle1\ and\ \angle7$

b)

$\angle4\ and\ \angle6$

c)

$\angle2\ and\ \angle4$

d)

$\angle3\ and\ \angle5$

e)

$\angle6\ and\ \angle7$

30.

When two parallel lines are cut by a transversal, then: (select all that apply)

a)

Vertical angles are congruent.

b)

The exterior angle is equal to the sum of the two remote interior angles

c)

Corresponding angles are congruent

d)

Alternate interior angles are congruent

e)

Same-side interior angles are congruent

31.

Given: $\angle4\ =\ 117\degree,\ \overline{EF\ }\parallel\ \overline{CD}$

Choose the angles that also measure 117*. (Mark all that apply)

a)

$\angle1$

b)

$\angle2$

c)

$\angle5$

d)

$\angle6$

e)

$\angle8$

32.

Given: $\angle5\ =\ 163\degree,\ \overline{EF\ }\parallel\ \overline{CD}$

Find the angles that measure 17*. (Mark all that apply)

a)

$\angle1$

b)

$\angle2$

c)

$\angle3$

d)

$\angle4$

e)

$\angle6$

33.

What kind of angles are $\angle1\ and\ \angle2$ ?

a)

Exterior angles

b)

Vertical angles

c)

A Linear Pair

d)

Corresponding angles

e)

Alternate Interior angles

34.

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

a)

Perpendicular Bisector

b)

Midpoint

c)

Transversal

d)

Angle Bisector

35.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

36.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

37.

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°

38.

Find y.

a)

50°

b)

130°

39.

What is the slope intercept form of the equation
12x-4y=-20

a)

y=12x-20

b)

y=3x+5

c)

y=-3x-5

d)

y=20y-12x

40.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

41.

Are the two linear equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

43.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

44.

Select all that apply: Same-Side interior angles are...

a)

both on the exterior of the parallel lines

b)

Supplementary

c)

Congruent

d)

adjacent

e)

on the same side of the transversal

45.

Check all that apply: Alternate Exterior Angles are...

a)

Congruent

b)

adjacent

c)

on alternate sides of the transversal

d)

on the interior of the parallel lines

e)

supplementary

46.

What is

m\angle?

Justify with the Angle Theorem.

a)

$m\angle?=51\degree$ , Alternate Exterior Angles Theorem

b)

$m\angle?=39\degree$ , Correspoinding Angles Theorem

c)

$m\angle?=51\degree$ , Corresponding Angles Theorem

d)

$m\angle?=129\degree$ , Linear Pair

47.

What is $m\angle?$ ? Justify with the appropriate angle theorem.

a)

$m\angle?=116\degree$ , Alternate Interior Angles Theorem

b)

$m\angle?=116\degree$ , Corresponding Angles Theorem

c)

$m\angle?=64\degree$ , Alternate Exterior Angles Theorem

d)

$m\angle?=64\degree$ , Alternate Interior Angles Theorem

48.

What is $m\angle?$ ? Justify your answer with the appropriate angle relationship.

a)

$m\angle?=70\degree$ , Vertical Angles

b)

$m\angle?=110\degree$ , Supplementary Angles

c)

$m\angle?=70\degree$ , Alternate Interior Angles Theorem

d)

$m\angle?=110\degree$ , Same-Side Interior Angles Theorem

49.

What is $m\angle?$ ? Justify your answer with the appropriate angle theorem.

a)

$m\angle?=61\degree$ , Alternate Exterior Angles Theorem

b)

$m\angle?=119\degree$ , Alternate Exterior Angles Theorem

c)

$m\angle?=61\degree$ , Same-Side Interior Angles Theorem

d)

$m\angle?=61\degree$ , Corresponding Angles Theorem

50.

Solve for x, justify your solution with the appropriate angle Relationship.

a)

x=-2, Vertical Angles

b)

x=2, Adjacent Angles

c)

x=-2, Supplementary Angles

d)

x=14, Complementary Angles

Parallel Lines with Transversals & Parallel/Perpendicular Lines

Total questions: 50

Worksheet time: 50mins

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