Question

If the sides of $△ABC$ are AB = 5 cm, BC = 4 cm and CA = 3 cm, and sides of $△PQR$ are PQ = 4 cm, QR = 3 cm and RP = 5 cm, then _______.

• A. $△ABC\cong △QPR$
• B. $△ABC\cong △PQR$
• C. $△ABC\cong △RPQ$
• D. $△ABC\cong △PRQ$

Answer 1

The correct option is C $△ABC\cong △RPQ$

Given,
In $△ABC$ and $△PQR$,
AB = RP = 5 cm
BC = PQ = 4 cm
CA = QR = 3 cm



We know that corresponding parts of congruent triangles are equal.
$\Rightarrow △ABC\cong △RPQ$ by SSS criterion for congruency of triangles.