Distance on the Coordinate Plane - Grade 8

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Examples, videos, and solutions to help Grade 8 students learn how to determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

New York State Common Core Math Grade 8, Module 7, Lesson 17

Download Worksheets for Grade 8, Module 7, Lesson 17

Lesson 17 Student Outcomes

•Students determine the distance between two points on a coordinate plane using the Pythagorean Theorem.

Lesson 17 Summary

To determine the distance between two points on the coordinate plane, begin by connecting the two points. Then draw a vertical line through one of the points and a horizontal line through the other point. The intersection of the vertical and horizontal lines forms a right triangle to which the Pythagorean Theorem can be applied.
To verify if a triangle is a right triangle, use the converse of the Pythagorean Theorem.

Lesson 17 Classwork

Example 1
What is the distance between the two points A, B on the coordinate plane?

Exercises
For each of the Exercises 1–4, determine the distance between points and on the coordinate plane. Round your answer to the tenths place.

Example 3
Is the triangle formed by the points A, B, C a right triangle?

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