In $△ A B C$ and $△ X Z Y$ , if AB = XZ, BC = ZY and CA = YX, then by which postulate is $△ A B C$ congruent to $△ X Z Y$ ?

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 $△ A B C and △ X Z Y$ ,

(i) $A B = X Z . . . . . . given$

(ii) $B C = Z Y . . . . . . given$

(iii) $C A = Y X . . . . . . given$

$\Rightarrow △ A B C ≅ △ X Z Y . . . . (SSS Postulate)$

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Similar questions

In $△ P Q R$ and $△ X Z Y$ , if PQ = XZ, QR = ZY and RP = YX, then by which postulate is $△ P Q R ≅ △ X Z Y$ ?

△ A B C

△ X Y Z

∠ A B C = ∠ X Y Z

∠ A C B = ∠ X Z Y,

△ A B C ≅ △ X Y Z

In $△ A B C$ and $△ X Y Z$ , if BC = YZ, $∠ A B C = ∠ X Y Z$ and $∠ A C B = ∠ X Z Y,$ , then by which postulate is $△ A B C ≅ △ Z X Y$ ?

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