Copy of Product of Chord Segments in a Circle
Drag point J to increase the size of the circle. Drag points E, F, C and D to change the position of the chords. CD is perpendicular to GJ.
Find the following products:
EB*BF
CB*BD
GH*HJ
CH*HD
Make a conjecture about the relationships between chord segments. Drag the points and find the products again. Does your conjecture hold true?