Q. 1583.7( 3 Votes )

# In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆EOD? Why?

Answer :

**Formula Used/Theory:-**

⇒ If hypotenuse and 1 sides of Right angled triangle are equal in both the triangles then both triangles are congruent by RHS congruence criterion

In ∆ABC and ∆EOD

As ∆ABC, ∆EOD both are right angled triangle

Right angled at ∠ABC and ∠EOD

∠B = ∠O = 90°

AC = DE (Hypotenuse Given)

AB = EO (Given)

∆ABC ≅ ∆EOD

Hence; both triangles are congruent by RHS criterion

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If are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

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In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆EOD? Why?

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In Fig. 6.55, QS ⊥ PR, RT ⊥ PQ and QS = RT.

(i) Is ∆QSR ≅ ∆RTQ? Give reasons.

(ii) Is ∠PQR = ∠PRQ? Give reasons.

NCERT - Exemplar MathematicsIn 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:

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Explain, why

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