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Parallel, Perpendicular or Neither - Printable Mathematics Worksheets - Wayground

Parallel, Perpendicular or Neither

20 questions

8th - 8th Grade

Mathematics

Parallel, Perpendicular or Neither is a Grade 8 mathematics worksheet that helps students classify pairs of lines by comparing their slopes. Across 20 multiple-choice questions, students identify that parallel lines have the same slope, determine the opposite reciprocal for a perpendicular slope, and decide whether line pairs are parallel, perpendicular, or neither. The worksheet applies these relationships to equations in slope-intercept form and to lines defined by coordinate points. Students must calculate or interpret slopes, including fractional and negative values, then use the results to select the correct classification. This free printable worksheet includes a complete answer key, making it useful for guided practice, independent review, or a short skills check after instruction on linear relationships.

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Parallel, Perpendicular or Neither

Total questions: 20

Name
Class
Date
1.
Slopes of parallel lines are...
a)

Opposite Reciprocals

b)

Opposites

c)

The Same

d)

Reciprocals

2.
Slopes of perpendicular lines are...
a)

Opposite Reciprocals

b)

Opposites

c)

The Same

d)

Reciprocals

3.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
4.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
5.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
6.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
7.

A (2, 2), B (0, -1)

C (0, 4), D (9, -2)

The lines AB and CD are...

a)

Parallel

b)

Perpendicular

c)

Neither

8.

A (2, 5), B (6, 8)

C (0, -2), D (8, 4)

The lines AB and CD are...

a)

Parallel

b)

Perpendicular

c)

Neither

9.

A (8, 5), B (4,2)

C (3,3), D (7,0)

The lines AB and CD are...

a)

Parallel

b)

Perpendicular

c)

Neither

10.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
11.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
12.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
13.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
14.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
15.
Are the equations parallel, perpendicular, or neither?
a)
Parallel
b)
Perpendicular
c)
Neither
16.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
17.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

18.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

19.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Line 1: (−1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

Answer Key

Parallel, Perpendicular or Neither

Total questions: 20

1.
c)

The Same

2.
a)

Opposite Reciprocals

3.
a) 4
4.
c) -8/5
5.
b) Perpendicular
6.
a) Parallel
7.
b)

Perpendicular

8.
a)

Parallel

9.
c)

Neither

10.
a) Parallel
11.
a) Parallel
12.
b) Perpendicular
13.
c) Neither
14.
a) Parallel
15.
a) Parallel
16.
a) y - y1 = m(x - x1)
17.
b)

y + 5 = 2(x - 3)

18.
c)

y - 1 = -3(x - 6)

19.
b)

Perpendicular

20.
a)

Parallel

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FAQs

What does the Parallel, Perpendicular or Neither worksheet cover?

This Grade 8 worksheet builds students’ ability to classify pairs of lines as parallel, perpendicular, or neither by comparing their slopes. Its 20 multiple-choice questions require students to identify equal slopes for parallel lines, find opposite reciprocals for perpendicular lines, and apply those rules to equations and coordinate pairs.

How can I use this worksheet to teach students to identify parallel and perpendicular lines?

First model how to read the slope from equations in slope-intercept form, then review that parallel lines have equal slopes and perpendicular slopes are opposite reciprocals. Use the worksheet’s equation and coordinate-point items in sequence: have students calculate or compare each slope, explain their classification as parallel, perpendicular, or neither, and then complete the remaining multiple-choice questions independently.

What mistakes should I watch for when students complete this worksheet?

Students may select “opposites” or “reciprocals” instead of finding the opposite reciprocal, especially with fractional slopes such as 5/8. When working from coordinate points, they may reverse the change in y and change in x, or compare only one line’s slope; ask them to calculate both slopes before choosing among parallel, perpendicular, and neither.

How do I assign and grade this Parallel, Perpendicular or Neither worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 20 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or use the digital quiz to collect responses online.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the slope equations, fractions, and answer choices are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work through the line-classification items.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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