You visited us 1 times! Enjoying our articles? Unlock Full Access!

AAS Criteria for Congruency

Which congrue...

Question

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

Open in App

Solution

Given that AC = DF, AB = DE, BC =EF
The three sides of one triangle are equal to the three corresponding sides of another triangle.
So,by SSS congruence criterion,
$Δ A B C ≅ Δ D E F$

Suggest Corrections

Similar questions

A C = D F

A B = D E

B C = E F

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 $Δ A B C ≅ Δ D E F$

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) 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]

∠ A = ∠ C = 90^{\circ}

Join BYJU'S Learning Program