Question

Line-segment AB is parallel to another
live - segment CD. O is the mid point
of AD show that (i) ∆AOB=~E ∆DOC
(ii) o is also the mid point of
BC​

Answer 1

Answer:

Line-segment AB is parallel to another line-segment CD.O is the mid-point of AD.

Show that O is also the midpoint of bc

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.