AB and CD are two chords of a circle intersecting each other at P such that AP = CP. show that AB = CD
(1) ..........................................Given
(2) .............................When chords intersect in a circle, the product of their segments is equal.
(3) ..........................................Division (AP=CP)
(4) ...........................Addition (1) and (3)
(5) .......Segment Addition Postulate
(6) ..........................................Substitu tion (4) and (5)