Perpendicular Bisector of a Chord Conjecture

Explanation:

The cord of a circle is a segment whose endpoints are on the circle. This conjecture states that the perpendicular bisector of any chord passes through the center of the circle. This could give us a good way to find the center of any circle!

The precise statement of the conjecture is:

Conjecture (Perpendicular Bisector of a Chord ): The perpendicular bisector of a chord in a circle passes through the center of the circle.

Interactive Sketch Pad Demonstration:

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Linked Sketch Pad demonstration of this conjecture

Linked Activity:

Please feel free to try the activity sheet associated with this conjecture.

Next: Tangent Conjecture
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Back: Conjectures in Geometry Conjecture List or to the Introduction.