10.6b Product of Chords, Secants, and Tangents
Move the points A, B, C, D, E and F and see how the measurements change. Then complete the calculations below.
1. Products of two secants
What do you notice about the product of CGxCDand CFxCE (multiply the lengths of the outside part by the total of the secant segment)?
2. Product of a secant and a tangent
What do you notice about the product of CGxCD and CHxCH (multiply the length of the outside part by the total of the secant segment then square the tangent)?
3. Product of two chords
What do you notice about the product of KGxKD and KIxKJ (multiply the lengths of the parts of the two chords)?