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SSS Criteria for Congruency

If AB=QR, ...

Question

If $A B = Q R$ , $B C = P Q$ and $C A = P R$ , then:

△ A B C ≅ △ P Q R

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△ C B A ≅ △ P Q R

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△ B A C ≅ △ R P Q

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△ P Q R ≅ △ B C A

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Solution

The correct option is C $△ C B A ≅ △ P Q R$
In $△ A B C$ and $△ P Q R$
$A B = Q R$
$B C = P Q$
$C A = P R$
Thus, $△ C B A ≅ △ P Q R$ (SSS rule)

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Similar questions

△ A B C

△ P Q R

If there are two triangles, $△ A B C$ and $△ P Q R,$ such that, $A B = Q R, B C = P R$ and $C A = P Q,$ then

Δ A B C ≅ Δ P Q R

Δ C B A ≅ Δ P Q R

Δ B A C ≅ Δ B C A

Δ P Q R ≅ Δ B C A

Δ A B C a n d Δ P Q R, \frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}

Δ P Q R \sim Δ C A B

Δ P Q R \sim Δ A B C

Δ C B A \sim Δ P Q R

Δ B C A \sim Δ P Q R

Δ A B C a n d Δ P Q R, \frac{A B}{Q R} = \frac{B C}{P R} = \frac{C A}{P Q}

Δ P Q R \sim Δ C A B

Δ P Q R \sim Δ A B C

Δ C B A \sim Δ P Q R

Δ B C A \sim Δ P Q R

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