# 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?

**☛ 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.

**☛ Related Questions:**

- Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m . . . .
- The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. Fi . . . .
- The foot of a ladder is 6 m away from its wall and its top reaches a window 8 m above the ground. If . . . .

visual curriculum