Which congruence criterion do you use in the following?
$(a)$. Given: $AC = DF$
$AB = DE$
$BC = EF$
So, $∆ABC ≅ ∆DEF$

$(b)$ Given: $ZX = RP$
$RQ = ZY$
$\angle PRQ = \angle XZY$
So

$(a)$. Given: $AC = DF$

$AB = DE$

$BC = EF$

So, the congruence criterion to show that $∆ABC ≅ ∆DEF$ is SSS[Side-Side-Side] congruence.

$(b)$ Given: $ZX = RP$

$RQ = ZY$

$\angle PRQ = \angle XZY$

So, The congruence criterion to show $∆PQR ≅ ∆XYZ$ that is SAS[Side-Angle-Side] congruence.

$(c)$. Given: $\angle MLN = \angle FGH$

$\angle NML = \angle GFH$

$ML = FG$

So, The congruence criterion to show that $∆LMN ≅ ∆GFH$ is AAS[Angle-Angle-Side] congruence.

$(d)$ Given: $EB = DB$

$AE = BC$

$\angle A = \angle C = 90^{\circ}$

So, The congruence criterion to show that $∆ABE ≅ ∆CDB$ is SAS[Side-Angle-Side] congruence.

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Updated on: 10-Oct-2022

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