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SSS Criteria for Congruency

Which congrue...

Question

Which congruence criterion do you use in the following ?
Given: $A C = D F$
$A B = D E$
$B C = E F$
So, $Δ A B C ≅ Δ D E F$

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Solution

Since all sides of $Δ$ ABC are equal to all corresponding sides of $Δ$ DEF
So, we will use SSS congruence criterion to prove $Δ$ ABC $≅$ $Δ$ DEF

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Δ A B C ≅ Δ D E F

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

(a) Show with an example that two triangles can't be congruent using AAA criterion.

(b) Which congruence criterion will you use in the following?

Given: AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

[3 MARKS]

Which congruence criterion do you use in the following?

(a) Given: AC = DF

AB = DE

BC = EF

So, ΔABC ≅ ΔDEF

(b) Given: ZX = RP

RQ = ZY

∠PRQ = ∠XZY

So, ΔPQR ≅ ΔXYZ

∠NML = ∠GFH

ML = FG

So, ΔLMN ≅ ΔGFH

(d) Given: EB = DB

AE = BC

∠A = ∠C = 90°

So, ΔABE ≅ ΔCDB

A B = D E, B C = E F

A C = D F,

Δ A B C

Δ D E F

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