Question

please guys help me in this question .only que no .2

Answer 1

$\underline{Given:}$

AD = AB..................(i)

AD perpendicular to AB
i.e.
Angle OAD = 90°

BC perpendicular to AB
i.e.
Angle OBC = 90°


$\underline{To\:Prove:}$

CD bisects AB
i.e.
OA=OB


$\underline{Proof}$

Since,

Line CD & AB intersect

∠AOD = ∠BOC
(Vertically Opposite Angles).................(ii)



In △BOC and △AOD

∠BOC = ∠AOD ( from ii)
∠CBO = ∠DAO ( Both angles are 90°)
BC = AD ( from i)


Therefore,
△BOC ≡△AOD (AAS)

Therefore,
BO = AO (CPCT)


Hence.... Proved.



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