Q. 34.3( 504 Votes )

# AD and BC are equ

Answer :

It is given in the question that:

AD and BC are equal perpendiculars to AB

To prove: CD bisects AB

Proof: In ΔAOD and ΔBOC

A = B (Perpendicular)

AOD = BOC (Vertically opposite angle)

AD = BC (Given)

Therefore,

AAS Postulate (Angle-Angle-Side) If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

By AAS congruence,

ΔAOD ≅ ΔBOC

Now,

AO = OB (By c.p.c.t)

CD bisects AB

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