Which congruence criterion do you use in the following?
Given: ZX = RP
RQ = ZY
$∠ P R Q = ∠ X Z Y$
$So, △ P Q R ≅ △ X Y Z$

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Solution

By SAS congruence property:- Two triangles are congruent if the two sides and the included angle of one are respectively equal to the two sides and the included angle of the other.
Hence, SAS congruence criterion have been used.
$△ A C B ≅ △ D E F$

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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, $Δ P Q R ≅ Δ X Y$

∠ P R Q = ∠ X Z Y

Δ P Q R ≅ Δ X Y

∠ A = ∠ C = 90^{\circ}

Question 1 (b)
Which congruence criterion do you use in the following?
Given: RP = ZX, RQ = ZY, $Δ P R Q = Δ X Z Y$
So $Δ P Q R = Δ X Y$

Δ A B C ≅ Δ D E F

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