Question

A)
While constructing an angle bisector, why is it so important to keep the compass the same distancewhen creating two smaller arcs inside the angle?
(1 point)
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 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

Keeping the compass legs at the same distance ensures the two arcs are equidistant from both sides of the angle to create the bisector. This makes the intersection point equally distant from each side, so the ray from the vertex to that point bisects the angle.