Move Points [math]A[/math], [math]B[/math], [math]C[/math], or [math]D[/math] anywhere along the edge of the circle as long as Chord [math]\overline{AB}[/math] and Chord [math]\overline{CD}[/math] are intersecting at point [math]E[/math].[br][br]Each Segment has a measurement that corresponds with its color.
If you multiply the length of [math]\overline{AE}[/math] and the length of [math]\overline{EB}[/math] what do you get?
Without moving the points, If you multiply the length of [math]\overline{CE}[/math] and the length of [math]\overline{ED}[/math] what do you get?
What do you notice about your answers?
Lets try it again! Move the points [math]A[/math], [math]B[/math], [math]C[/math], and [math]D[/math] anywhere along the circle as long as Chord [math]\overline{AB}[/math] and Chord [math]\overline{CD}[/math] are intersecting at point [math]\text{E}[/math]. [br][br]If you multiply the length of [math]\overline{AE}[/math] and the length of [math]\overline{EB}[/math], what do you get?
Without moving the points, If you multiply the length of [math]\overline{CE}[/math] and the length of [math]\overline{ED}[/math], what do you get?
What do you notice about your answers?