Digits, Grade 8, Volume 1, Homework Helper

4-4: Distance in the Coordinate Plane

Key Concept

You can use the Pythagorean Theorem to find distances in the coordinate plane.

A graph of a right triangle with a leg of length a from point (-2, -1) to point (-2, 4), a leg of length b from point (-2, -1) to point (5, -1), and a hypotenuse labeled distance = c from (-2, 4) to (5, -1).

Part 1

Example Finding Distances Between Two Points on the Coordinate Plane

What is the distance between A (−2,−3) and B (4, 5)?

Solution

Graph a right triangle with eh b bar as the hypotenuse. Then use the Pythagorean Theorem to find the distance between points A and B.

A graph of a right triangle ABC. AC = 6, BC = 8.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties