Question

Line segment AB is parallel to another line segment CD O is the mid point of AD. show that triangle AOBis congruent to DOC,.

Answer 1

To prove triangle AOB is congruent to triangle DOC
=>AB=CD. (Parallel lines)
=>AO=OD. (As midpoint O divides AD equally)
=>angle COD = angle AOB. (As vertically opposite angles)
Thus by AAS congruence condition triangle AOB is congruent to triangle DOC.

Answer 2

.

.

.

.

.

.

.

.

Hope it helps....!