Question

using a compass and straightedge, construct the bisector of the angle shown below. leave all construction marks.

Explanation:

Step1: Set compass width

Set the compass to an appropriate width and place the compass - point at the vertex of the angle. Draw an arc that intersects both rays of the angle.

Step2: Mark intersection points

Label the intersection points of the arc and the rays as A and B.

Step3: Set new compass width

Place the compass at point A and set a new width. Draw an arc inside the angle.

Step4: Repeat from other point

Without changing the compass width, place the compass at point B and draw another arc inside the angle. Let the two arcs intersect at point C.

Step5: Draw angle - bisector

Use the straightedge to draw a ray from the vertex of the angle through point C. This ray is the angle - bisector.

Answer:

The constructed ray from the vertex through the intersection of the two inner - arcs is the angle bisector.