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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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