3. Bisectors of Triangles
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Let's think about perpendicular bisectors and angle bisectors individually.
Conjecture: The point where the three perpendicular bisectors intersect is always equidistant from the vertices of the triangle.
From Exploration 2, we saw a variety of observations regarding the angle bisectors. Here are the main ones.
Conjecture: The point where the three angle bisectors intersect is always equidistant from the sides of the triangle.