# Distance, Midpoint, Other Endpoint on a Coordinate Plane Activity

## DISTANCE OF A SEGMENT ON A COORDINATE PLANE

**The Distance Formula:**The distance between points (x

_{1,}y

_{1}) and (x

_{2},y

_{2}) is given by the formula Note: This is really the Pythagorean Theorem in a different form.

- Plot the points (0,0) and (-4,3).
- Connect the points using the line segment.

3. What is the distance of the two points?

## MIDPOINT ON A COORDINATE PLANE

To find the midpoint of a segment on a coordinate plane, find the average of your x and the average of your y values.

- Plot the points (-1,-3) and (3, 2).
- Connect the points with a segment and find the midpoint.

What were the coordinates of the midpoint you calculated above?

## OTHER ENDPOINT ON A COORDINATE PLANE

- Plot the points A(-3, -1) and M(-1,2).
- Connect the points with a segment and find the midpoint.
- Find the coordinates of the missing endpoint if M is the midpoint of AB.

What are the coordinates of the missing endpoint?