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SSS Criteria for Congruency

In the given ...

Question

In the given figure, if AB = DC and BC = AD, then by which postulate is $△ A B C ≅ △ C D A$ ?

SSS

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SAS

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ASA

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RHS

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Solution

The correct option is A
SSS

In $△$ ABC and $△$ CDA,

(i) AB = CD ......(given)

(ii) BC = DA ......(given)

(iii) AC = AC .....(common)

$\Rightarrow △ A B C ≅ △ C D A$ ....(SSS Postulate )

Hence (A)

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Similar questions

△ A B D ≅ △ A C D

In the given figure, if $∠$ ABC = $∠$ ADC and $∠$ BAC = $∠$ DAC, then by which postulate is $△ A B C ≅ △ A D C$ ?

In the given figure, if $∠$ ACB = $∠$ CAD = $90^{\circ}$ and AB = DC, then by which postulate is $△$ ABC $≅$ $△$ ADC ?

A D

B C

A B

A D = B C

S A S

Δ A B C ≅

A B ∥ C D

A D ∥ B C

Δ A B C ≅

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