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Intersecting Chords Theorem

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More Lessons for High School Regents Exam

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

Intersecting Chords Theorem

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

For example, in the following diagram AP × PD = BP × PC

intersecting chords

Segments in circles
Proof of a theorem on product of segments of chords in circles.

Intersecting chords of a circle.

Intersecting Chord Theorem


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