Free Printable Chapter 3: Lines and Angles

Worksheets

Chapter 3: Lines and Angles

Total questions: 47

Worksheet time: 2hrs 1mins

Name

Class

Date

Name a line skew to FG

What are parallel lines?

Two lines that never cross

Two lines that intersect

Two lines that intersect at 90 degrees

Two lines

What does perpendicular mean?

Lines cross each other

Lines cross at 90 degrees

Lines never touch

Lines are skew

Name a line parallel to AB

Lines DE, AB, and GC appear to be _________

parallel

perpendicular

skew

Name the angle relationship.

Alternate Interior

Alternate Exterior

Corresponding

Vertical Angles

Which segment are skew to EF?

Which pair of angles are alternate exterior angles?

Angle 7 and Angle 4

Angle 2 and Angle 6

Angle 8 and Angle 1

Angle 2 and Angle 8

Which pair of angles are corresponding?

Angle 7 and Angle 4

Angle 3 and Angle 6

Angle 8 and Angle 1

Angle 4 and Angle 8

10.

What are vertical angles?

Angles that are adjacent to each other

Angles that add up to 180°

Angles that are opposite of each other when lines intersect

Angles that add up to 90°

11.

If the m∠3 = 125, find the m∠6.

125

135

12.

If the m∠4 = 20, find the m∠6.

160

13.

What is the value of y in the figure?

14.

What is the value of x in the figure?

15.

Select the figure that makes lines r and t parallel.

16.

Which could be used to prove the lines are parallel?

Corresponding

Alternate Interior

Linear Pair

Cannot be proved parallel

17.

Which could be used to prove the lines are parallel?

Alternate Interior

Consecutive Interior

Corresponding

Cannot be proved parallel

18.

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

angle 2 = 45 degrees

angle 3 = 135 degrees

angle 8 = 135 degrees

angle 5 = 135 degrees

19.

A line that intersects two coplanar lines is a ___.

perpendicular line

skew line

transversal

point

20.

$r\perp s$ means line r and line s are ___.

perpendicular

parallel

skew

congruent

21.

Q6) Solve for x.

180

22.

What is the measure of angle J?

∠J=105°

∠J=75°

∠J=15°

∠J=90°

23.

Angles inside a pair of parallel lines on the opposite sides of a transversal that are congruent are called _____.

Vertical angles

Corresponding Angles

Supplementary Angles

Alternate Interior Angles

24.

WHAT IS THE VALUE OF X?

11.4

-16

25.

WHAT IS THE VALUE OF X?

-7

9.4

-9.4

26.

Which pair of angles add up to 180 degrees?

A and W

C and X

D and X

A and G

27.

What two angles are alternate-interior angles?

∠3 and ∠5

∠3 and ∠6

∠1 and ∠6

∠5 and ∠8

28.

Find the measure of the angle indicated in bold.

29.

Which of the following relationship proves that j is parallel to k?

∠3 and ∠4 are supplementary

∠4 and ∠5 are supplementary

∠1 ≅ ∠3

∠2 ≅ ∠3

30.

If ∠2 ≅ ∠7, what lines are parallel by which converse theorem?

A & B by alternate exterior angles converse

A & B by alternate interior angles converse

C & D by alternate exterior angles converse

C & D by alternate interior angles converse

31.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

1/2

-1/2

-2

32.

Find the slope

-5/3

-3/5

5/3

3/5

33.

Find the slope of the line.

Undefined

-1

34.

The line pictured has a(n) ______ slope.

Positive

Negative

Undefined

Zero

35.

Which of the following is perpendicular to 4x - 3y = 8?

-4x - 3y = 8

6x + 8y = 9

-8x + 12y = 7

-8x + 6y = 5

36.

If two lines are parallel their slopes are ____________

the same.

negative reciprocals of each other.

37.

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

the same.

negative reciprocals of each other.

38.

Write the equation of the line.

y = -2/3x + 4

y = 2/3x + 4

y = 3/2x + 4

y = -3/2x + 4

39.

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

(-4, 3)

(3, -4)

(-3, -4)

(-4, -3)

40.

Write the following equation in slope-intercept form:
4x - 3y = 12

y = -4/3x + 3

y = -4x + 12

y = 4/3x - 4

y = 4/3x - 12

41.

Write the equation of the line that passes through the points (0, -5) and (4, 3)

y=2x-5

y=1/2x-5

y=2x+5

y=1/2x+5

42.

What is the equation of the line that passes through (-1, -4) and (-2, -1)

y = 2x - 1

y = -2x - 4

y = 3x - 7

y = -3x - 7

43.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

44.

$-2x+y=-7$ What is the slope perpendicular to the line

-2

1/2

-1/2

45.

$-6x+y=2$ and $6x+y=2$

Parallel

Perpendicular

Neither

46.

Determine whether the lines are parallel, intersect, or coincide.
2y = 4x + 12, -2x – 2y = 8

parallel

intersecting

coincide

none

47.

What will the graph of the system look like?
y = 3x - 8
2y = 6x - 16

parallel

perpendicular

coinciding

intersecting

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Chapter 3: Lines and Angles

Total questions: 47

Worksheet time: 2hrs 1mins

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