### Home > CCG > Chapter Ch7 > Lesson 7.1.2 > Problem7-20

7-20.

On graph paper, plot the points $A(-5,7)$ and $B(3,1)$.

1. Find $AB$ (the length of $\overline{AB}$).

Use the Pythagorean Theorem to find the length of $\overline{AB}$.

2. Locate the midpoint of $\overline{AB}$ and label it $C$. What are the coordinates of $C$?

Use two congruent slope triangles to find the midpoint.

3. Find $AC$. Can you do this without using the Pythagorean Theorem?

Because C is the midpoint, what does that tell you about the length of $AC$?

Use the eTool below to find the length and midpoint of $AB$.
Click the link at right for the full version of the eTool: CCG 7-20 HW eTool (Desmos)