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 XYU.

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

We have to write the congruent triangles in symbolic form.

We observe that XYZ and XYU are not right angled triangle.

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.

RHS rule is not applicable, since there is no right angle.

From the figure,

XZ = 3.8 cm

YU = 3.9 cm

The sides are not equal.

Therefore, the triangles are not congruent.

✦ 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 (e)

In each of the given pairs of triangles of UXYZ 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:

Summary:

The given pair of triangles are not congruent by RHS congruence criterion.

☛ Related Questions:

• In each of the given pairs of triangles of Fig. 6.43 LMNO, using only RHS congruence criterion, dete . . . .
• In Fig. 6.44, if RP = RQ, find the value of x
• In Fig. 6.45, if ST = SU, then find the values of x and y