Distance, Midpoint, Other Endpoint on a Coordinate Plane Activity
DISTANCE OF A SEGMENT ON A COORDINATE PLANE
The Distance Formula: The distance between points (x1,y1) and (x2,y2) 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?