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 ADB and ADC.

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 ADB and ADC,

Given, AB = AC

From the figure,

AB and AC are the hypotenuse of the triangle ADB and ADC.

Common side = AD

∠ADB = ∠ADC = 90°

By RHS rule, ∆ADB ≅ ∆ADC

✦ Try This: In Fig, ∆ABC is right angled at A, Q and R are points on line BC and P is a point such that QP ∥ AC and RP ∥ AB. Find ∠P.

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

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

In each of the given pairs of triangles of Fig. 6.43 ABCD, 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 ∆ADB ≅ ∆ADC.

☛ Related Questions:

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