Advertisement Remove all ads

In Triangle Abc, ∠A = 30°, ∠B = 40° and ∠C = 110° in Triangle Pqr, ∠P = 30°, ∠Q = 40° and ∠R = 110° a Student Says that Triangle Abc ≅ Triangle Pqr by Aaa Congruence Criterion. is He Justified? Why Or Why Not? - Mathematics

In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°

In ΔPQR, ∠P = 30°, ∠Q = 40° and ∠R = 110°

A student says that ΔABC ≅ ΔPQR by AAA congruence criterion. Is he justified? Why or why not?

Advertisement Remove all ads


No. This property represents that these triangles have their respective angles of equal measure. However, this gives no information about their sides. The sides of these triangles have a ratio somewhat different than 1:1. Therefore, AAA property does not prove the two triangles congruent.

Concept: Criteria for Congruence of Triangles
  Is there an error in this question or solution?
Advertisement Remove all ads


NCERT Class 7 Maths
Chapter 7 Congruence of Triangles
Exercise 7.2 | Q 4 | Page 150
Advertisement Remove all ads
Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×