Category:Congruence (Geometry)

This category contains results about congruence in the context of geometry.
Definitions specific to this category can be found in Definitions/Congruence (Geometry).

In the field of Euclidean geometry, two geometric figures are congruent if and only if:

they are, informally speaking, both "the same size and shape"

they differ only in position in space

one figure can be overlaid on the other figure with a series of rotations, translations, and reflections.

Specifically:

all corresponding angles of the congruent figures must have the same measurement

all corresponding sides of the congruent figures must be be the same length.