Category:Bilateral Symmetry

This category contains results about Bilateral Symmetry.
Definitions specific to this category can be found in Definitions/Bilateral Symmetry.

Let $F$ be a geometric figure.

Plane Figure

Let $F$ be a plane geometric figure.

Let there exist a reflection $R$ in an axis of reflection $AB$ such that $\map R F$ is a (reflectional) symmetry.

Then $F$ has (plane) bilateral symmetry about $AB$.

Solid Figure

Let $F$ be a solid geometric figure.

Let there exist a reflection $R$ in an plane of reflection $P$ such that $\map R F$ is a (reflectional) symmetry.

Then $F$ has (solid) bilateral symmetry about $AB$.