Task Sets: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system - Common Core Math - Grade 8

Recall / Warm-Up

In a right triangle, the legs measure 6 and 8. Which side is the hypotenuse, and what is its length?

The hypotenuse is the longest side; its length is $10$ .

The hypotenuse is one of the legs; its length is $8$ .

The hypotenuse is the longest side; its length is $14$ .

The hypotenuse is the shortest side; its length is $6$ .

A right triangle has legs of length $5$ and $12$ . Find the length of the hypotenuse.

On a number line, how far apart are the points at $-3$ and $5$ ?

$8$

$2$

$-8$

$15$

Fluency Practice

$A coordinate grid showing points A(1,2) and B(5,5) connected by a hypotenuse, with a teal horizontal leg and a red vertical leg forming a right triangle.$

Find the distance between $A(1, 2)$ and $B(5, 5)$ .

Find the distance between $C(-3, 1)$ and $D(2, -4)$ .

$5\sqrt{2}$

$\sqrt{2}$

$10$

$5$

Find the distance between $M(-5, 4)$ and $N(3, -2)$ .

Find the distance between $R(-2, 3)$ and $S(4, -1)$ . Give your answer in exact (radical) form.

$A coordinate grid showing points E(3,-2) and F(3,7) on the same vertical line x = 3, connected by a vertical segment.$

Find the distance between $E(3, -2)$ and $F(3, 7)$ .

Exercises: Finding Distance on the Coordinate Plane with the Pythagorean Theorem

Recall / Warm-Up

Fluency Practice