In ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°
In ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110°
A student says that ∆ABC ≅ ∆PQR by AAA congruence criterion. Is he justified? Why or why not?

Solution:

Given that, in ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110°
in ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110°

It is not justified because AAA is not a congruence criterion.

Triangles with similar measures of angles can be similar triangles but not congruent.

Two similar triangles can also have all equal angles but different lengths of sides, so one triangle could be an enlarged version of another triangle.

That is why the reason given by the student is not justified

☛ Check: NCERT Solutions for Class 7 Maths Chapter 7

Video Solution:

In ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110° In ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110° A student says that ∆ABC ≅ ∆PQR by AAA congruence criterion. Is he justified? Why or why not?

NCERT Solutions for Class 7 Maths Chapter 7 Exercise 7.2 Question 4

Summary:

In ∆ABC, ∠A = 30° , ∠B = 40° and ∠C = 110° In ∆PQR, ∠P = 30° , ∠Q = 40° and ∠R = 110° A student says that ∆ABC ≅ ∆PQR by AAA congruence criterion. It is not justified because AAA is not a congruence criterion. Triangles with similar measures of angles can be similar triangles but not congruent

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