In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF. Will the two triangles be congruent? Give reasons for your answer

Solution:

It is given that

In triangles ABC and DEF,

∠A = ∠D

∠B = ∠E

AB = EF

In the triangle ABC, two angles and included side is given

In the triangle DEF, corresponding sides are equal but side is not included in the angle

So the triangles cannot be congruent.

Here two triangles cannot be congruent as AB and EF are not the corresponding sides

Therefore, no the two triangles cannot be congruent.

✦ Try This: In triangles PQR and XYZ, ∠P = ∠X, ∠Q = ∠Y and PQ = YZ. Will the two triangles be congruent? Give reasons for your answer.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 7

NCERT Exemplar Class 9 Maths Exercise 7.2 Sample Problem 2

In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF. Will the two triangles be congruent? Give reasons for your answer

Summary:

In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF. No, the two triangles cannot be congruent as AB and EF are not the corresponding sides of the two triangles

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