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)