Question

In △ ABC and △ PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm . Which of the following statements is true ?I

△ ABC ≅ △ QPR

△ ABC ≅ △ QRP

△ ABC ≅ △ RQP

Answer 1

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

`AB=QR=5\ cm` (Given)

`BC=PQ=6\ cm` (Given)

`AC=PR=8\ cm` (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

`\Detla ABC\cong \Delta RQP` (SSS congruency postulate)

Therefore, the correct option is C.