how can teo equilateral triangle be congurent

Question

triangle AQC and triangle APC are equilateral triangle . how can they be proved as congurent

Answer 1

Because equilateral triangles have the same shape, and are therefore similar, though of different size, they will be congruent (same size) if just one of the sides of one triangle can be shown to be the same length as a side of the other triangle.