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Parameters of Triangles (Sides and Angles)

In PQR and XZ...

Question

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

SSS

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B

SAS

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C

ASA

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D

RHS

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Solution

The correct option is A SSS
$△ P Q R and △ X Z Y$ ,

(i) $P Q = X Z . . . . . (given)$

(ii) $Q R = Z Y . . . . . (given)$

(iii) $R P = Y X . . . . . (given)$

$\Rightarrow △ P Q R ≅ △ X Z Y . . . (SSS Postulate)$

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

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 $△ X Z Y$ ?

Q. ∆ PQR and ∆ XYZ such that l(PQ) = l(XY), l(QR) = l(YZ), l(RP) = l(ZX), then the triangles are congruent by

Question 1 (b)\angle{F}
Which congruence criterion do you use in the following?

Given: RP = ZX, RQ = ZY, $∠ P R Q = ∠ X Z Y$
So, $Δ P Q R ≅ Δ X Y$

Q. Which congruence criterion will you use for proving the congruency of these two triangles?

Given: RP = ZX, RQ = ZY,

∠ P R Q = ∠ X Z Y

Δ P Q R ≅ Δ X Y Z

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