Question

If ABC and XYZ are equilateral triangles and AB  XY . The condition under which ABC and XYZ
are not congruent

Answer 1

Answer:

Given that ΔABC and ΔXYZ are equilateral triangles.

i.e., AB=BC=CA

and XY=YZ=ZX …………….(1)

and

here AB=XY ………………(2)

By equation (1) & (2)

BC=YZ and CA=ZX …………….(3)

We have to show that

ΔABC≅ΔXYZ

In ΔABC and ΔXYZ

AB=XY (Given)

BC=YZ (by equation (3))

CA=ZX (by equation (3))

So ΔABC≅ΔXYZ (By SSS rules).