Chapter Five:  
Relationships Within Triangles

Geometry   Notes

Chapter  5

Section  5.1
Section  5.2
Section  5.3
Section  5.4
Section  5.5

Geometry Contents

Take notes on the following topics.

Vocabulary

Distance from a point to a line (p. 250) The distance from a point to a line is the length of the perpendicular segment from the point to the line.

Theorem 5-2 Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Theorem 5-3 Converse of the Perpendicular Bisector Theorem

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

Theorem 5-4  Angle Bisector Theorem

If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

Theorem 5-5 Converse of the Angle Bisector Theorem

If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.