5.1 Flashcards
Perpendicular Bisector
A segment bisector that is perpendicular to the segment it bisects.
Thm. 5.1: Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment, then it is equidistant (equal distances) from the endpoints of the segment.
Thm. 5.2: Perpendicular Bisector Converse Theorem
If a point is equidistant from the endpoints of a segment, then it lies (is) on the perpendicular bisector of the segment.
Thm. 5.3: Angle Bisector Theorem
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.
Thm. 5.4: Angle Bisector Converse Theorem
If a point is in the interior of an angle and equidistant from the sides of the angle, then it lies on the bisector of an angle.
Distance between a point and line
The distance between a point and line is the length of a perpendicular segment from the point to the line.