### Home > GB8I > Chapter 7 Unit 8 > Lesson INT1: 7.1.7 > Problem7-80

7-80.

On graph paper, plot the points $A(–5, 7)$ and $B(3, 1)$. 7-80 HW eTool (Desmos) Homework Help ✎

1. Calculate $\overline{AB}$ (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 point $C$. What are the coordinates of point $C$?

Use two congruent slope triangles to find the midpoint.

3. Calculate $\overline{AC}$. Can you do this without using the Pythagorean Theorem?

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

Use the hints in the eTool below for parts (a-c).
Click on the link at right for the full eTool version: INT1 7-80 HW eTool