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By which congruency are the following pairs of triangles congruent if in $ΔABC$ and $ΔPQR$ , $AB = PQ$ , $BC = QR$ and $AC = PR$ ?

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ASA

SSS

AAA

ASS

answer is B.

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Detailed Solution

Given in

ΔABC

and

ΔPQR

AB = PQ

BC = QR

and

AC = PR

In triangles

ABC

and

PQR

, we have

AB = PQ

....(Given)

AC = PR

....(Given)

BC = QR

....(Given)
Thus,

△ ABC ≅ △ PQR

..... (by SSS Postulate)
According to the SSS (Side-Side-Side) theorem of congruency, if three sides of a triangle are equal to the three sides of another triangle, then these two triangles are said to be congruent.
Hence, the correct option is 2.

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