Determining the Congruence of Segments

Use the information below to answer the question:

Is the segment PB congruent to PD?

Segment PA is orthogonal to the plane m
Points A,B,C,and D lie in the plane m
Segment AB is congruent to the segment AD

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...pendicular to plane m, thus

PB^2=PA^2+AB^2
PD^2=PA^2+AD^2

PD^2 stands for PD square.

Now ...