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Pythagorean Theorem Distance on Coordinate Plane - Printable Math Worksheets 8th Grade - Wayground

Pythagorean Theorem Distance on Coordinate Plane

Anthony Clark

Created by Anthony Clark

15 questions

8th Grade

Math

This Grade 8 mathematics worksheet gives students focused practice finding the distance between points on a coordinate plane using the Pythagorean Theorem. Across 15 multiple-choice questions, students identify the appropriate theorem, calculate diagonal distances, and select results expressed in units or rounded to the nearest tenth. The repeated distance problems help students connect the horizontal and vertical changes between points to the legs of a right triangle, then interpret the resulting hypotenuse length. Later questions emphasize rounding answers to the nearest tenth, while earlier items reinforce recognizing the correct method and evaluating calculated distances. This free printable worksheet is designed for Grade 8 math instruction, independent practice, review, or a quick formative check, and it includes a complete answer key for efficient checking.

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WaygroundWorksheets

Pythagorean Theorem Distance on Coordinate Plane

Total questions: 15

Name
Class
Date
1.
What is the distance between the two points?

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

2.
Find the distance between J and K.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

3.
Find the distance between the two points.

Find the distance between the two points.

a)

7.3 units

b)

8.1 units

c)

7.7 units

d)

9.1 units

4.
What is the diagonal distance between the two points?

What is the diagonal distance between the two points?

a)

10.2 units

b)

9.9 units

c)

9.3 units

d)

8.7 units

5.
Find the distance between the two points.

Find the distance between the two points.

a)

2.2 units

b)

3.5 units

c)

4.1 units

d)

2.7 units

6.
Find the distance between the two points.

Find the distance between the two points.

a)

7.6 units

b)

6.9 units

c)

8.1 units

d)

9.7 units

7.
Find the distance between these two points.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

8.
Find the distance between these 2 points.

Find the distance between these 2 points.

a)

7

b)

7.2

c)

8.1

d)

10

9.

The distance between two points can be calculated using the...

a)

Pythagorean Theorem

b)

Average of the points

c)

Equation of the line

d)

Slope equation

10.
Find the distance between the points using Pythagorean Theorem.

Find the distance between the points using Pythagorean Theorem.

a)

9.2

b)

85

c)

9.2\sqrt[]{9.2}

d)

8.2

11.
Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

a)

6.5

b)

6.7

c)

6.7\sqrt[]{6.7}

d)

7.6

12.
Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

a)

1.7

b)

2.4

c)

4.2

d)

17\sqrt[]{17}

13.
Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

a)

7.3

b)

7.1

c)

57\sqrt[]{57}

d)

6.3

14.
Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

a)

15.3

b)

631\sqrt[]{631}

c)

13.6

d)

16.3

15.
Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

Find the distance between the points using Pythagorean Theorem. Round your answer to the nearest tenth.

a)

20.2

b)

11.2

c)

115\sqrt[]{115}

d)

10.2

WaygroundAnswer Key

Pythagorean Theorem Distance on Coordinate Plane

Total questions: 15

1.
a)

6.3

2.
a)

8.2

3.
a)

7.3 units

4.
b)

9.9 units

5.
a)

2.2 units

6.
a)

7.6 units

7.
c)

9.2

8.
b)

7.2

9.
a)

Pythagorean Theorem

10.
a)

9.2

11.
b)

6.7

12.
c)

4.2

13.
a)

7.3

14.
c)

13.6

15.
d)

10.2

FAQs

What does this worksheet cover?

This Grade 8 worksheet covers finding the distance between two points on a coordinate plane by applying the Pythagorean Theorem. Its 15 multiple-choice items include recognizing the correct method, calculating diagonal distances, and rounding selected answers to the nearest tenth.

How can I use this worksheet to teach distance on a coordinate plane?

First, model how the horizontal and vertical changes between two plotted points form the legs of a right triangle, then show how the Pythagorean Theorem gives the diagonal distance. Use the worksheet’s method-identification item as a discussion prompt before students solve the calculation questions, and have them explain why some answers must be rounded to the nearest tenth.

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

Students may choose a line or slope formula instead of the Pythagorean Theorem, use the horizontal or vertical change as the final distance, or report the squared value before taking the square root. In the rounding items, check that students round to the nearest tenth rather than changing the exact calculation or selecting a nearby distractor.

How do I assign and grade this worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can assign the 15 multiple-choice distance questions in the format that fits your lesson. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this coordinate-plane distance worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the multiple-choice distance items are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the Pythagorean Theorem practice and rounding questions intact.

Where can I find more worksheets like this on Wayground?

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