Which of the following can be used to prove that - PQR - PSR-

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Standard VIII

Mathematics

Congruency Postulates

Which of the ...

Question

Which of the following can be used to prove that $Δ P Q R ≅ Δ P S R$ ?

SSA

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AAS

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SSS

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Solution

The correct option is B AAS
Given:
$∠ Q P R ≅ ∠ S P R$
$∠ P Q R ≅ ∠ P S R$
$P R ≅ P R$ (Reflexive property of congruence)
If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.
(AAS theorem)
Hence, $Δ P Q R ≅ Δ P S R$ .

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Which of the following can be used to prove that ΔPQR≅ΔPSR?

The correct option is B AASGiven:∠QPR≅∠SPR∠PQR≅∠PSRPR≅PR (Reflexive property of congruence)If two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are congruent.(AAS theorem)Hence, ΔPQR≅ΔPSR.

Which of the following can be used to prove that $Δ P Q R ≅ Δ P S R$ ?