Definition:Center of Symmetry

Definition

Let $\FF$ be a geometric figure.

A center of symmetry $C$ of $\FF$ is a point such that:

every point $P$ of $\FF$ has a corresponding point $P'$ which is also in $\FF$ such that $C$ is the midpoint of the straight line segment $PP'$.

Also see

• Results about centers of symmetry can be found here.

Linguistic Note

The British English spelling of center is centre.

The convention on $\mathsf{Pr} \infty \mathsf{fWiki}$ is to use the American English spelling center, but it is appreciated that there may be lapses.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): centre (centre of symmetry)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): centre of symmetry
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): centre (centre of symmetry)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): centre of symmetry