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In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆ EOD? Why?

In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆ EOD? Why

Solution:

Given, the figure represents two triangles ABC and EOD.

We have to state the three pairs of equal parts in ∆ABC and ∆EOD.

We have to determine if the given triangles are congruent or not.

Considering triangle ABC and EOD,

Given, AC = ED

∠ABC = ∠EOD = 90°

AB = EO

The SAS criterion states that If two sides of one triangle are respectively proportional to two corresponding sides of another, and if the included angles are equal, then the two triangles are congruent.

By SAS rule, ∆ABC ≅ ∆EOD

✦ Try This: In Fig, is the pair of triangles are congruent?

In Fig, is the pair of triangles are congruent

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 158

In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆ EOD? Why?

Summary:

In Fig. 6.57, the three pairs of equal parts in ∆ABC and ∆EOD are AC = ED; ∠ABC = ∠EOD = 90° and AB = EO. ∆ABC ≅ ∆ EOD by SAS congruence criterion.

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