Question

Line segment AB in the figure in parallel to another line segment CD. The point is the mid-
pont of AD. Show that
алов в ADoc
(7) O is also the mid-point of BC.
B​

Answer 1

Answer:

(diagram attached)

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.