In ∆ abc and ∆ pqr if ∠a=∠q=∠b=∠r and pr ac then two triangles are congruent by congruence criterion

Solution:

In the above triangles, given that

∠B = ∠Q = 90 degree

∠C = ∠R ( given)

Since, two corresponding angles are equal, the additional pair of corresponding parts by ASA criterion will be BC = QR.

Hence, triangle ABC is congruent to triangle PQR by ASA criteria.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 7

Video Solution:

Class 7 Maths NCERT Solutions Chapter 7 Exercise 7.2 Question 9

Summary:

If Δ ABC and Δ PQR are to be congruent, the additional pair of corresponding parts will be BC = QR. The two triangles will be congruent by the ASA congruence rule.

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