A perpendicular bisector is a line that divides a segment into two equal parts and makes a 90 degree angle.
An angle bisector is a ray that divides an angle into two equal parts.
Click here for animated directions for each construction.
Below is today’s classwork.
1) In constructing the perpendicular bisector of a line segment, why must the two arcs have the same radius?
2) Explain why joining the vertex of an angle to the point found in the angle bisector construction guarantees that the angle is bisected.