# Construction: Angle Bisector

How to construct an angle bisector of the given angle: by using a compass and a straightedge (ruler).

## Construction

Let's see how to construct an angle bisector

that bisects the given angle.

Solution

Place the point of the compass

at the vertex of the given angle.

Draw an arc

that passes through

the rays of the given angle.

Place the point of the compass

at the intersection of the ray and the gray arc.

(blue point)

Draw an arc

that seems to pass the middle of the angle.

(blue arc)

Without changing the radius of the compass,

place the point of the compass

at the other intersecting point.

(blue point)

Draw an arc (blue arc)

that passes through the previous arc.

Draw a ray

that passes through

the intersection of the arcs.

Then this blue ray

is the angle bisector of the given angle.