Chord Properties Exploration

A chord is defined as a line segment with endpoints on a circle. Use the applet below to explore the properties of a chord,

a. Segment BC is a chord. Segment AD is the direct distance from the center of the circle to the chord. What do you notice about the angle measurement between these two segments? b. What do you notice about the relationship between the parts of the chord BD and CD? c. What do you notice about the relationship between the arcs BE and CE created by the extension of AD to AE?