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 $Δ P Q R = Δ X Y$

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Solution

By SAS congruence criterion, since it is given that RP = ZX, RQ = ZY and $Δ P R Q = Δ X Z Y$
The two sides and one angle in one of the triangle are equal to the corresponding sides and the angle of other triangle.
Therefore, $Δ P Q R ≅ Δ X Y Z$

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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

∠ P R Q = ∠ X Z Y

So, △ P Q R ≅ △ X Y Z

Question 1 (d)
Which congruence criterion do you use in the following?
Given: EB = BD, AE = CB, $∠ A = ∠ C = 90^{\circ}$

Question 1 (a)
Which congruence criterion do you use in the following?
Given AC = DF, AB = DE, BC = EF
So $Δ A B C ≅ Δ D E F$

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