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:

Solution:

Given, the figure represents two triangles XYZ and UYZ.

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 XYZ and UYZ,

Given, XZ = YU

From the figure,

XZ and YU are the hypotenuse of the triangle XYZ and UYZ.

Common side = ZY

∠XYZ = ∠UZY = 90°

By RHS rule, ∆XYZ ≅ ∆UZY

✦ 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 (b)

In each of the given pairs of triangles of Fig. 6.43 UXYZ, 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 ∆XYZ ≅ ∆UZY.

☛ Related Questions:

• In each of the given pairs of triangles of Fig. 6.43 ABC, PQR, using only RHS congruence criterion, . . . .
• In each of the given pairs of triangles of ABCDE Fig. 6.43, using only RHS congruence criterion, det . . . .
• In each of the given pairs of triangles of UXYZ Fig. 6.43, using only RHS congruence criterion, dete . . . .