Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent

Solution:

Let us draw triangles LMN and FGH.

In the given triangles, Δ LMN and Δ GFH, the five pairs of congruent parts are listed below.

According to the diagram,

∠L = ∠G

∠M = ∠H

∠N = ∠F

LM = GF and

MN = GH.

But none of the congruence criteria is satisfied as the corresponding sides and corresponding angles are not equal.

Therefore, Δ LMN and Δ GFH are not congruent.

☛ Check: NCERT Solutions Class 7 Maths Chapter 7

Video Solution:

Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent

Class 7 Maths NCERT Solutions Chapter 7 Exercise 7.2 Question 8

Summary:

We have drawn a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent as the corresponding sides and corresponding angles are not equal.

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