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GeoGebraClasse GeoGebra

Circle line segment theorems

Chord Length Theorem Can you find a relationship between the segments formed by intersecting chords? 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.

Secant Length Theorem Can you find a relationship between the segments formed by intersecting secants? 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.

Tangent Length Theorem Can you find a relationship between the segments formed by an intersecting secant and tangent? How do the lengths of EA and EB relate to EC?

Move point B and observe how the lengths change.