The Perpendicular Bisector of A Chord Passes The Center of a Circle

The perpendicular bisector of a chord of a circle passes through its center. In this post, we prove this claim. Let be the center of the circle. Draw , a chord  and let be its midpoint. Construct perpendicular to latex R as shown above. We show that is on .
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Proving The Perpendicular Bisector Theorem by Reflection

In the last two posts, we have discussed the properties of reflection and formalized our learning by enumerating the Reflection Postulate. In this post, we use the Reflection Postulate to prove the Perpendicular Bisector Theorem. The theorem states that given a segment, its perpendicular bisector, and a point on the perpendicular bisector, the endpoints of […]
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