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Two figures are congruent if and only if they have the same shape and size.
Congruent means that two figures have the same shape. Non-congruent means they don't. There is no "similarity"; two non-congruent figures can be just about anything, for example a square and a circle.
Congruent figures are figures that have the same size and shape.
All congruent figures are similar figures, and have identical sizes.
That their sides are congruent.