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Intersecting Chords Theorem

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

 

 

Intersectiong 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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