Explain, why ∆ ABC ≅ ∆ FED.

Solution:

In ∆ ABC and ∆ FED,

Given that:

∠B = ∠E = 90° (given)

∠A = ∠F (given)

BC = ED 

By using the angle sum property of triangles,

⇒ ∠A + ∠B + ∠C = ∠E + ∠F + ∠D = 180°

⇒ 180° – ∠C = 180° – ∠D [Since, ∠A + ∠B = ∠E + ∠F]

Therefore, ∠C =∠D

Thus, ∆ ABC ≅ ∆ FED by ASA rule.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 7

Video Solution:

Explain, why ∆ ABC ≅ ∆ FED?

Class 7 Maths NCERT Solutions Chapter 7 Exercise 7.2 Question 10

Summary:

∆ ABC ≅ ∆ FED by ASA rule. Hence it is explained.

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