24.9k views
24 votes
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

1 Answer

13 votes

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.

User Luigibertaco
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.