A perpendicular bisector is a line that bisects and is perpendicular to a segment. An angle bisector is a line that bisects an angle. The midpoint of the segment from (2,8) to (-4,6) is (-1,7) and the slope is -2. The document defines perpendicular bisectors and angle bisectors, provides objectives about proving theorems regarding them, includes vocabulary terms equidistant and locus, and notes that triangle congruence theorems can be used to prove theorems about equidistant points.

1. GT Geom. Drill 12/20/12
Define each of the following.
1. A perpendicular bisector.
2. An angle bisector.
3. Find the midpoint and slope of the segment
(2, 8) and (–4, 6).

2. Objectives
Prove and apply theorems about
perpendicular bisectors.
Prove and apply theorems about angle
bisectors.

3. Vocabulary
equidistant
locus

4. When a point is the same
distance from two or more
objects, the point is said to be
equidistant from the objects.
Triangle congruence theorems
can be used to prove
theorems about equidistant
points.