Chord (Geometry)

Chords of a circle

1. Chords are equidistant from the center if and only if their lengths are equal.
2. A chord's perpendicular bisector passes the center.
3. Given chord AB, chord CD, and intersection point P of the line extensions (secant lines) of them, the following about lengths is true: AP·PB = CP·PD (Power of a point theorem)

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