5.1.1 Perpendicular and Angle Bisector Theorems Flashcards
equidistant
when a point is the same distance from two or more objects, the point is said to be equidistant from the objects
locus
it is a set of points that satisfies a given condition
angle bisector
it is a ray that divides an angle into two congruent angles
perpendicular bisector of a segment
it is a line that passes through the midpoint of a segment that is perpendicular to the segment
Perpendicular Bisector Theorem
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
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.
Angle Bisector Theorem
If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
Converse of the Angle Bisector Theorem
If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.