Question

in the given figure if the line segment in AB is parallel to another line segment RS and the O is the midpoint of AC then show that triangle ABC is congruent to triangle as O is also the midpoint of the BR​

Answer 1

Step-by-step explanation:

Given: AB is parallel to another line segment CD.

O is the midpoint OF AD

In ΔAOB and ΔDOC

∠AOB=∠COD ...(Vertically opposite angle )

∠BAO=∠CDO ...(Given AB parallel to DC and AD meet both lines so alternate angles are equal)

AO=OD ....(O is the midpoint of AD )

ΔAOB≅ΔDOC ...ASA test

So, BO=CO

Then, O is the midpoint of BC

hope it's helpful for you... all the best....