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I have not got this statement myself. So, kindly Prove this entire statement given in figure with the help of different instance. ( About equialgular triangle that, how two congruent triangle will be equiangular and two equiangular triangles need not to be congruent)

Two make 2 triangles congruent their angles and corresponding angles should be equal i.e.

ABC and DEF are congruent only if

AB = DE

BC = EF

CA = FD

and

angle A = D

angle B = E

angle C = F

Angles alone are not enough because we can draw an equilateral triangle with side 6 and 8 cm, angles are equal but sides are NOT.

However we do know that we can draw unique triangles if

SSS ( 3 sides)

SAS( 2 sides and included angle)

AAS( 2 angles and common side) are known

Thus

if two triangles match w.r.t SSS or SAS or AAS they would be congruent too

Regards

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