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angle bisector
This term is a technical geometric descriptor used primarily in mathematics and architectural drafting. It describes a specific locus of points equidistant from the two sides of an angle, creating a precise symmetry that is essential for constructing incenter points in triangles.
In a pedagogical context, the term is almost always paired with the tools of classical geometry, such as a compass and straightedge. It is a formal term of art; in casual conversation, one might simply refer to "splitting the angle in half," but "angle bisector" is the required terminology for academic and professional technical documentation.
Meanings
Examples
Please draw the angle bisector for angle ABC using your compass.
The incenter of a triangle is the point where each angle bisector intersects.
I forgot how to construct an angle bisector without a protractor.
Does the angle bisector always divide the opposite side proportionally?
The teacher explained that an angle bisector creates two congruent angles.
Wait, is this line actually the angle bisector or just a median?
The proof requires us to identify the angle bisector of the vertex angle.
He carefully traced the angle bisector to ensure the symmetry of the figure.