Math, asked by bubu38257, 11 months ago

In the given figure, PA perpendicular to AB, QB perpendicular to BA and PA=QB. Prove that triangle OAP congruent to triangle OBQ. Is OA =OB?

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Answered by UdithRaj
16

Answer:

Proof: Triangle OAP is congruent to triangle OBQ

Step-by-step explanation:

PA = BQ (given)(side)

Angle PAO = Angle OBQ ( PAO = OBQ = 90°)(Angle)

Angle APO = Angle OQB ( Alternate Angles )(angle)

Therefore triangle OAP is congruent to triangle OBQ(ASA)

Therefore OA = OB (cpct)

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Answered by mayajoshi60
2

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