Given a circle and two points on that circle, P and Q, draw the chord PQ, and label its midpoint M.Now draw two other chords of the circle AB and CD that both pass through M.
Further, draw chords AD and BC.
Label the intersection of AD and PQ, point X.
Label the intersection of BC and PQ, point Y.
_____________________________
Prove that M is the midpoint of line segment XY.
Answer
