Google ClassroomGoogle Classroom
GeoGebraGeoGebra Klaslokaal

Angle Formed by 2 Chords Theorem

Recall that a CHORD is a segment whose endpoints lie on a circle. In the applet below, note that the purple angle is formed by the intersection of two chords. This angle and its vertical angle intercept two arcs. One intercepted arc is red. The other intercepted arc is blue. Drag the green slider and carefully watch what happens. Feel free to move any of the points of the circle around to change the size and location of the purple angle formed. As you move them, make sure that the 2 chords intersect each other! Answer the questions that follow the applet.
From what you observed, describe how you can find the measure of an angle formed by two chords of a circle. (Be sure to use the term "intercepted arc" or "intercepted arcs" in your description.)