# Pythagorean Theorem on a Coordinate Graph Math Games

In this series of games, your students will learn to apply the Pythagorean Theorem to find the distance between two points in a coordinate system. The Pythagorean Theorem on a Coordinate Graph learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 8.G.B.8 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

The Pythagorean Theorem applies to all right triangles and states that the square of the hypotenuse (longest side opposite the right angle) is equal to the sum of the square of the two other sides, or a2 + b2 = c2. Substitute values for the length of legs or hypotenuse to determine the missing side.

Given a slope on a coordinate graph, determine the length of the slope by determining perpendicular leg lengths where the slope is the hypotenuse and apply the Pythagorean Theorem to determine the length of the hypotenuse. Leg length and hypotenuse ratio will be a constant proportion regardless of the length chosen for the legs.

A preview of each game in the learning objective is found below.

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