Web Reference: How to bisect an angle with compass and straightedge or ruler. To bisect an angle means that we divide the angle into two equal (congruent) parts without actually measuring the angle. This Euclidean construction works by creating two congruent triangles. See the proof below for more on this. Bisecting an angle using only a compass and a straightedge is what this lesson will teach you How to construct an Angle Bisector (halve the angle) using just a compass and a straightedge.
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