Question

line segment ab is parallel to another line segment cd o is the midpoint od ad show that o is the mid point of bc

Answer 1

Ans:

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.