Question

A line segment AB bisected at point P and through p another line segment PQ which is perpendicular to AB IS drawn show that QA=QB

Answer 1

Answer:

Step-by-step explanation:

Now

In Δ APQ  and ∆ BPQ  

AP  =   BP                                ( As given AB is bisect at point P )

∠ APQ    =  ∠ BPQ             ( As given PQ is perpendicular to AB )

And

PQ   = PQ                                 ( Common side )

SO,

Δ∆ APQ ≅≅ Δ∆ BPQ              (  By  SAS  rule )

AQ    =   BQ                              (  by  CPCT )          

Hence proved

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