Question

If ∆ABC and ∆XYZ are equilateral triangles and AB = XY. Write the condition
under which ∆ABC

∆XYZ.

Answer 1

Answer:

Which means, From this axiom, we can say that Triangle ABC and Triangle XYZ are equal that is congruent, => ΔABC ≅ ΔXYZ, Therefore by SSS Axiom we can say that both the triangles are similar, This is the condition by which we can say !

Answer 2

Answer:

triangle ABC will be congruent to triangle XYZ if:

XY=AB

angle A=angle X

AC=XZ(by sas congruency)

OR

XY=AB

angle Y=angle B

BC=YZ(by sas congruency)

Hope it helps you