Math, asked by haseenaabusulaiman, 1 day ago

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Answered by Macaq
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Step-by-step explanation:

Given : (i) OA = OP

(ii) ∠BAO = ∠QPO = 90°

To prove : OB = OQ

Proof : In △BAO and △QPO , we have

∠BAO = ∠QPO = 90° (given)

OA = OP (given)

∠BOA = ∠QOP ( V.O.A )

∴by ASA congruence criteria

△BAO ≅ △QPO

by c.p.c.t,

OB = CQ

*Note : (a) V.O.A means vertically opposite angle

(b) c.p.c.t means corresponding part of congruent triangle

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