![]() Hence, the property congruence is one sort of equivalence relation between shapes of a plane.Let the race begin! This fast-paced activity promotes teamwork and quick thinking. The famous three properties, reflexivity, symmetry and transitivity, together make the notion of equivalence. This property is called transitivity.įor example, if we apply first a shift, and then a rotation, then the resulting new shape is still congruent to the original one. If a shape C is congruent to a shape B, and the shape B is congruent to the original shape A, then the shape C is also congruent to the original shape A.This behaviour, this property is called symmetry.įor example, if we shift back, or rotate back, or mirror back the new shape to the original one, then the original shape is congruent to the new one. ![]() If a shape is congruent to another shape, then this other shape is also congruent to the original one.Or, similarly, if the rotation above is not a proper rotation, but only a rotation of angle zero. ![]() This property is called reflexivity.įor example, if the shift above is not a proper shift, but only a shift making a motion of length zero.
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