Question

identify the statements that when combined give the steps to construct the angle bisector of an angle. a using a compass, draw an arc that intersects the sides of the given angle. b using a compass, choose an arbitrary length from the point to the line segment. c keeping the same measurement, draw arcs on the interior of the angle using the intersections of the arcs with the angles sides as vertices. d on the intersection between the drawn segment and the arc at the given point, draw an arc that intersects with the arc made above the given segment. e the two arcs intersect a point. the segment that connects the vertex of the angle and this point is the angle bisector.

Explanation:

Step1: Draw arc intersecting angle sides

Using a compass, draw an arc that intersects the sides of the given angle (Statement A).

Step2: Draw arcs from intersection points

Keeping the same measurement, draw arcs on the interior of the angle using the intersections of the arcs with the angle’s sides as vertices (Statement C).

Step3: Connect vertex to intersection point

The two arcs intersect a point. The segment that connects the vertex of the angle and this point is the angle bisector (Statement E).

Answer:

A, C, E