Question

While constructing an angle bisector, why is it so important to keep the compass the same distance when creating two smaller arcs inside the angle?(1 point) Responses Keeping the compass legs at the same distance ensures that the vertex of the angle is far enough away so that the two arcs will intersect. Keeping the compass legs at the same distance ensures that the vertex of the angle is far enough away so that the two arcs will intersect. Keeping the compass legs at the same distance ensures the two arcs are equidistant from both sides of the angle to create the bisector. Keeping the compass legs at the same distance ensures the two arcs are equidistant from both sides of the angle to create the bisector. Keeping the compass legs at the same distance ensures that the arcs are long enough to intersect so that a ray can be drawn from the vertex to the intersection of the two arcs. Keeping the compass legs at the same distance ensures that the arcs are long enough to intersect so that a ray can be drawn from the vertex to the intersection of the two arcs. Keeping the compass legs at the same distance allows you to ensure that the angle will be divided into four parts.

Answer 1

The correct response is: **Keeping the compass legs at the same distance ensures that the two arcs are equidistant from both sides of the angle to create the bisector.**

This is important because having the arcs intersect at a point that is equidistant from both sides of the angle is crucial for accurately constructing the angle bisector. This ensures that the bisector divides the angle into two equal parts.