Question

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Answer 1

Answer:

Step-by-step explanation:

Given: PB= PQ

          PB perpendicular to l and PQ  perpendicular to m

To prove : APB congruent to APQ  

Proof :   Angle B= 90 degrees and Angle Q = 90 degree [ given]

=> AQ = AB [ Sides opposite to equal angles are equal ]

Now,            

In Triangle APB and APQ :

Angle B = Angle Q [ Each 90 degree ]

AP = AP                   [Common ]

AQ = AB                  [ Proved above ]

By Right angle- Hypotenuse- Side [RHS] Congruency criterion

 Triangle APB congruent to Triangle APQ

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