Question

Decide whether the statement is always, sometimes, or never true.


A perpendicular bisector of a side of a triangle passes through the midpoint of that side.
1) Always
2) Sometimes
3) Never

Answer 1

This is always true by definition of perpendicular bisector.

Answer 2

A line which cuts a line segment into two *equal* parts at 90° is a perpendicular bisector. It therefore passes through the midpoint.