A banana is a non-example of an angle bisector!
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on the perpendicular bisector
the circumcenter, orthocenter, and centriod, when connected together i Euler's line. the angle bisector of the non base angle is the same thing.
hmm... let's see, we can say when we cut a quarter of a cake into 2 pieces, we are dividing along the angle bisector
An Angle Bisector
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex