Question

which illustration shows the correct construction of an angle bisector?

Explanation:

Step1: Recall angle - bisector construction steps

To construct an angle bisector, first, with the vertex of the angle as the center, draw an arc that intersects both rays of the angle. Then, from the two intersection points of the arc and the rays, draw two more arcs of equal radius inside the angle. The point where these two arcs intersect is used to draw the angle - bisector.

Step2: Analyze each option

The correct construction should have arcs drawn from the intersection points of the first arc and the angle's rays to find the point for the bisector.

Answer:

The option with arcs drawn from the intersection of the initial arc and the angle - rays to find the point for the bisector is the correct one (description of the correct visual option based on the above - mentioned steps). Since the actual visual content of the options is not fully described in text, a detailed identification of the correct option number cannot be given precisely. But the above method can be used to pick the correct one among the given illustrations.