In each of the given pairs of triangles of Fig. 6.43 ABCDE, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

Solution:

Given, the figure represents two triangles AEC and BED.

We have to apply the RHS congruence criterion to the triangle.

We have to write the congruent triangles in symbolic form.

RHS congruence theorem states that, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent.

Considering triangle ACE and DBE,

Given, AE = BE

From the figure,

AE and BE are the hypotenuse of the triangle AEC and BED.

Also, CE = DE

∠ACE = ∠BDE = 90°

By RHS rule, ∆AEC ≅ ∆BED

✦ Try This: In each of the given pairs of triangles of Fig. 6.43, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

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

NCERT Exemplar Class 7 Maths Chapter 6 Problem 135 (c)

In each of the given pairs of triangles of Fig. 6.43 ABC, PQR, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

Summary:

The given pair of triangles are congruent by RHS congruence criterion. The symbolic form is ∆AEC ≅ ∆BED.

☛ Related Questions:

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