Assume that coordinates of points P, Q, and M are P(x1,y1) Q(x2,y2) M(x1+x2/2 , y1+y2/2)
Follow steps (a) and (b) to prove that M is midpoint of the line segment from P to Q
a) by calculating both of the distances PM and MQ, illustrate that PM=QM (This shows that M lies on perpendicular bisector of line segment PQ, but it doesn't show that M actually lies on PQ
b) Illustrate that PM+MQ=PQ