Question

7) In the given figure, if PA⊥AB, QB⊥AB and ΔOAP ≅ ΔOBQ, then

(1)AP=QP
(2)PA=OB
(3)OP=BQ
(4)OA=OQ

PLS TELL FAST!!

Answer 1

Answer:

,

PA ⊥ AB, QB ⊥ AB and PA = QB

To prove,

ΔOAP = ΔOBQ

Is OA =OB?

Proof,

In ΔOAP and ΔOBQ

PA = QB (given)

∠POA = ∠QOB (vertically opposite angles)

∠OAP = ∠OBQ = 90o

From AAS congruence property,

ΔOAP ≅ ΔOBQ

Then,

OA = OB (corresponding parts of the congruent triangles)

Step-by-step explanation:

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