Question

Line segment AB is parallel to another line
segment co.o is the mid-point of AD. Show that
D
3
iѕ O is also the mid point of BC
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Answer 1

Answer:

hope the explanation will help you

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.

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