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In ΔABC and ΔPQR, AB=3.1 cm, AC=4.5 cm, PR=3.1 cm, QR=4.5 cm, ∠PRQ=60° and ∠BAC=60". Which one of the following is true ?
Question

In ΔABC and ΔPQR, AB=3.1 cm, AC=4.5 cm, PR=3.1 cm, QR=4.5 cm, ∠PRQ=60°
and ∠BAC=60". Which one of the following is true ?

A.

ΔABC≌ΔPQR

B.

ΔABC≌ΔRPQ

C.

ΔABC≌ΔPRQ

D.

ΔABC≌ΔRQP

Correct option is B

Given sides: AB = PR, AC = QR
Given angles: ∠PRQ = ∠BAC = 60°
Since we have two pairs of corresponding sides that are equal and the included angles (angles between the corresponding sides) are also equal, we can conclude that the triangles are congruent by the Side-Angle-Side (SAS) congruence criterion.
Therefore, ΔABC≌ΔRPQ

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