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:[br]EB*BF[br]CB*BD[br]GH*HJ[br]CH*HD[br][br]Make a conjecture about the relationships between chord segments. Drag the points and find the products again. Does your conjecture hold true?