Question

two lines AB and CD intersects at O. Such that BC is equal and parallel to AD. prove that the line AB and CD bisects at O. this question don't have figure please solve this please ​

Answer 1

Answer:

Answer

In order to prove that AB and CD bisect each other at O, it is sufficient to prove that ΔAOD≅ΔBOC.

In these two triangles,

we have

AD=BC

∠OBC=∠OAD [∵AD∥BC and AB is transversal]

and, ∠OCB=∠ODA [∵AD∥BC and CD is transversal]

So, by ASA congruence criterion, we obtain

ΔAOD≅ΔBOC

⇒OA=OB and OD=OC

⇒ AB and CD bisect each other at O.

Step-by-step explanation:

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