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Question

In the construction of the perpendicular bisector of a given line segment, as shown in the figure below

ΔPMAΔPMB by which congruence criterion?


A

AAS

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B

RHS

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C

SSS

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D

SAS

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Solution

The correct option is D. SAS

Consider ΔPMA and ΔPMB

PM=PM (Common is side)

MA=MB (PQ is perpendicular bisector of AB)

PMA=PMB=90 (PQ is perpendicular bisector of AB)

Thus, by SAS congruence, ΔPMAΔPMB



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