Circle line segment theorems

[size=150][size=200]Chord Length Theorem[br][/size][/size][br]Can you find a relationship between the segments formed by intersecting chords?[br][br]How do the lengths of EA and EB relate to ED and EC?
Move points B, C, and E and observe how the lengths change.
[size=150][size=200]Secant Length Theorem[br][/size][/size][br]Can you find a relationship between the segments formed by intersecting secants?[br][br]How do the lengths of EA and EB relate to ED and EC?
Move points A, C, and E and observe how the lengths change.
[size=150][size=200]Tangent Length Theorem[br][/size][/size][br]Can you find a relationship between the segments formed by an intersecting secant and tangent?[br][br]How do the lengths of EA and EB relate to EC?
Move point B and observe how the lengths change.
– Heather Mitchell, Shawn Hedman

Information: Circle line segment theorems