Theorem 12-2
Intersecting Tangents and Chords Theorem
Include Formula
If two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.
Formula: AB × BC = CD × DA
Where AB and CD are the segments of one chord, and BC and DA are the segments of the other chord intersecting at point P.
The Intersecting Tangents and Chords Theorem, also known as Theorem 12-2, states that if two chords in a circle intersect, then the products of their respective segments are equal.
The formula for the Intersecting Tangents and Chords Theorem is:
(AB) * (BC) = (CD) * (DE)
where:
- AB and CD are the segments of the intersecting chords, and
- BC and DE are the segments of the chords between the intersection point and the center of the circle.