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) Keeping the compass legs ar 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 turo arcs 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 allows you to ensure that the angle will be divided into four parts. 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. Check answer Remaining Attempts: 3
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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 is crucial because the angle bisector's purpose is to divide the angle into two equal parts, and equal distances from the sides facilitate this precise division. In the world of geometry, angle bisectors play a vital role in various areas, such as triangle centers (like the incenter) and constructions. For example, when you're trying to find the incenter to construct a triangle's incircle, the angle bisector is your go-to tool! By ensuring the arcs intersect accurately, you're paving the way for successful constructions and intriguing geometric discoveries.
