Question

Angle abc has point e on ray ba and point d on ray bc. Points e and d are equidistant from point b. To bisect angle abc, which of the following needs to be identified for the construction? 1) The distance between points e and d 2) The point in the angle that is equidistant from points e and d 3) The endpoint of rays ba and bc 4) Cannot be determined

Answer 1

The process of angle bisector involves finding a ray that divides the angle into two equal parts. This ray should pass through the vertex of the angle.

In the given problem, we have an angle ABC with point E on ray BA and point D on ray BC. The points E and D are equidistant from point B (which is the vertex of angle ABC).

The question asks for what needs to be identified to bisect the angle.

To bisect an angle, we require a point, which is equidistant from both rays forming the angle. This essentially means the point must be equidistant from points E and D.

So, the answer to the question is option number 2) The point in the angle that is equidistant from points E and D.