Power of a Point Theorem

B

1.5

×

4.5

=

6.75

D

2.59808

×

2.59808

=

6.75

This Demonstration illustrates the power of a point theorem in geometry, which states that if two chords

AB

and

CD

in a circle intersect at a point

P

, then

|AP||PB|=|CP||PD|

. This is also known as the intersecting chords theorem.

This was a project for Advanced Topics in Mathematics II, 2016–2017, Torrey Pines High School, San Diego, CA.

Lauren Oh