<P> In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other . </P> <P> More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection . This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object . So two distinct plane figures on a piece of paper are congruent if we can cut them out and then match them up completely . Turning the paper over is permitted . </P>

What is the definition of congruence in geometry
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