Maths Exercises
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Maths Exercices

Finding the midpoint

Midpoints:
The midpoint of a line segment is the point that divides the segment into two congruent segments.

If M is the midpoint of , then:

  • AM=MB or ;


Finding the midpoint
By using x and y coordinates, it is easy to find the midpoint of a line segment. The midpoint is calculated by taking the average of the x coordinates and then taking the average of the y coordinates.

If (x1,y1) and (x2,y2) are the endpoints of a segment, the midpoint is calculated by:



Find the midpoint of a segment with endpoints (-15,7) and (3,9).

The midpoint is (-6,8)


One endpoint of a line segment is at (-3,2) and the midpoint is at (3,-8). Where is the other endpoint?

Similarly:

The other endpoint is (9,-18)