NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions
Question 154

Question. 154

In Fig. 6.55, QS ⟂ PR, RT ⟂ PQ and QS = RT.

(i) Is ΔQSR ≅ ΔRTQ? Give reasons.

(ii) Is ∠PQR = ∠PRQ? Give reasons.

Answer:

(i) Yes, by RHS

(ii) Yes, by CPCT

Detailed Answer with Explanation:

Right angle, hypotenuse, and one side equal ⇒ congruent. Corresponding angles equal by CPCT.