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.