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Two plane figures are called congruent if one can be moved by a sequence of translations, rotations and reflections so that it fits exactly on top of the other figure.

two congruent hexagons
Detailed description

The example above involves a translation of 5 to the right and 1 up. The two hexagons are congruent.

two congruent hexagons
Detailed description

In the second diagram the second hexagon has been obtained from the first by a rotation of 270 ° clockwise about \(B\) and then a translation of 1 unit to the right. Note that the orientation of the shape has not changed. Once again, the two hexagons are congruent.