There can be no such object since it is always possible to create an identical shape and then the two shapes would be congruent.
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a congruent shape HAS TO HAVE ALL CONGRUENT ANGLES OR IT WOULDNT BE A CONGRUENT sHAPE
Regular polygons have congruent angles such as squares and equilateral triangles.
none exist.
A regular polygon has all congruent angles such as a square or an equilateral triangle
Congruent Figures has equal sides, angles, shape and size.