During AMC testing, the AoPS Wiki is in read-only mode. No edits can be made.


Revision as of 09:35, 6 November 2007 by 1=2 (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Equidistant means "at the same distance."

Thus, for instance, if triangle $\triangle ABC$ is isosceles with base $BC$, points $B$ and $C$ are equidistant from point $A$.

Similarly, the perpendicular bisector of a line segment is the set of points equidistant from the endpoints. So, given segment $\overline{AB}$ and a point $C$ such that $AC = BC$, we know (by definition) that $C$ is on the perpendicular bisector of $\overline{AB}$. Also, given $C$ on the perpendicular bisector of $\overline{AB}$, we know that $AC = BC$.

This article is a stub. Help us out by expanding it.

Invalid username
Login to AoPS