Relationship of Congruence

Relationship of Congruence

Two figures are said to be in a relationship of congruence if one figure can match the other perfectly through a direct isometry, an opposite isometry or a composition of these isometries.

Educational Notes

Two geometric figures are congruent when one can match the other perfectly by sliding, flipping, or turning it. This can be done by applying a translation, a rotation, a reflection or a combination of these transformations. These figures can be described as being congruent by a translation, congruent by a rotation, etc.

Examples

  • Two figures congruent by a rotation:

  • Two figures congruent by a translation:

  • Two figures congruent by a reflection:

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