Theorem 12-2
Intersecting Tangents and Chords Theorem
Include Formula
short definition
Formula: If two chords in a circle intersect, the product of the lengths of one chord and its segments equals the product of the lengths of the other chord and its segments.
Short definition: When two chords within a circle intersect, the product of the lengths of each chord segment is equal.
The Intersecting Tangents and Chords Theorem, also known as Theorem 12-2, states that in a circle, if two chords intersect, the products of their segments are equal.
In formula form, if two chords AB and CD intersect at point P inside a circle, the following relationship holds true:
AP × PB = CP × PD
where AP and PB represent the segments of chord AB, and CP and PD represent the segments of chord CD.