Question

If in two triangles ABC and PQR , AB = PQ, AC = PR and BC = QR, then .

• A. ∆ ACB ≅ ∆ PQR
• B. ∆ ABC ≅ ∆ PRQ
• C. ∆ ABC ≅ ∆ PQR

Answer 1

The correct option is C ∆ ABC ≅ ∆ PQR

In $△ABC$ and $△PQR$,
AB = PQ (Side)
AC = PR (Side)
BC = QR (Side)

If all three sides of a triangle are equal to the corresponding three sides of another triangle, then both the triangles are said to be congruent.

$\therefore △ABC\cong △PQR$
[By SSS congruency]