When they have the same dimensions and same interior angles they are said to be congruent
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congruent figures are the same shape and the same size while similar figures are the same shape but different sizes and it doesn't matter which way the shape is facing
Two figures are congruent if and only if they have the same shape and size.
One shape cannot be congruent: you need two (or more) shapes which can be congruent to each other.
Two things are congruent if they are the same shape and size.
There can be no such object since it is always possible to create an identical shape and then the two shapes would be congruent.