Question

in the shown figure P A is perpendicular to a b and q b is perpendicular to a b for the ap is equal to BQ prove that who is the midpoint of Ab and PQ

Answer 1

hence poq is the mid hence poq is the midpoint of Ab and BC

Answer 2

In ∆AOP and ∆ BOQ
AP= BQ. (given)
angle PAO= Angle QBO. (each 90°)
Angle AOP=angle BOQ. (V.O.A)
therefore ∆AOP =~ ∆BOQ.
Therefore OA=OB
Therefore O is midpoint of AB

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