Proving Basice Theorems about Chords and Segments via High-School-Level Geometric Algebra December 9, 2020 James Smith nitac14b@yahoo.com https://mx.linkedin.com/in/james-smith-1b195047 Abstract We prove the Intersecting-Chords Theorem as a corollary to a relation- ship, derived via Geometric Algebra, about the product of the lengths of two segments of a single chord. We derive a similar theorem about the product of the lengths of a secant a chord. “Demonstrate that (AV )(VB)=(CV )(VD).” 1