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Congruence of plane figures

1st identical smiley face2nd identical smiley face

Two objects like this are called congruent. The word 'congruent' comes from Latin and means 'in agreement' or 'in harmony'.

Definition:

Two plane figures are called congruent if one figure can be moved so that it fits exactly on top of the other figure.

If two figures are congruent, such a movement can always be done by a sequence of translations, rotations and reflections.