1. Bisectors in Triangles Section 5-2

2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects – The segment it intersects, the perpendicular bisectors crosses the midpoint – Also any angle it intersects it cuts the angle in half What is a perpendicular bisector?

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

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

5. Distance from a point to a line It is the length of the perpendicular segment from the point to the line

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

7. 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.