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SSS Criteria for Congruency

In the figure...

Question

In the figure, $P S = Q R, P Q = S R$

Δ Q R P ≅ Δ P S R

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Δ P Q R ≅ Δ P R S

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Δ P Q R ≅ Δ R S P

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Δ R Q P ≅ Δ R S P

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Solution

The correct option is D $Δ R Q P ≅ Δ R S P$
In $Δ P Q R$ and $Δ P S R$
$P S = Q R, P Q = S R, P R = P R$
$∴ Δ R Q P ≅ Δ R S P$ (By SSS postulate)

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Similar questions

Question 150 (i)

In the given figure, PQ = PS and $∠ 1 = ∠ 2$
Is $Δ P Q R ≅ Δ P S R$ ? Give reason.

∠ Q P R

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\frac{Q S}{S R} = \frac{P Q}{P R}

Δ P Q R

Δ S Q R

¯ ¯¯¯¯¯¯ ¯ P Q

¯ ¯¯¯¯¯¯ ¯ S R

∠ P Q R = ∠ Q R S

Δ P Q R

Δ P Q R, P S ⊥ Q R .

Q S : S P : S R = 9 : 12 : 16,

∠ P Q R

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