Midpoint formula

The  exercise appears under the Algebra I Math Mission. This exercise uses the midpoint formula in different situations.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the point that makes the midpoint: This problem provides one endpoint of a segment and a midpoint. The student is asked to find the other endpoint of the segment that is bisected by the given midpoint.Mpf1.png
 * 2) Find the midpoint: This problem provides a segment. The student is asked to find the midpoint of the segment.Mpf2.png

Strategies
Knowledge of the midpoint formula would ensure success on this exercise.
 * 1) The midpoint formula is the average of the x-ccordinates and the average of the y-coordinates.
 * 2) When finding the other endpoint, the movement (as a vector) from endpoint to midpoint can be extended to get to the other endpoint.

Real-life Applications

 * 1) The midpoint can be seen as a connection between geometry and statistics (arithmetic mean or "average").