Intersecting Chords
Using the "Line" tool, draw two lines, [math]AC[/math] and [math]BD[/math].[br][br]Using the "Point" tool, mark the point at the intersection of lines [math]AC[/math] and [math]BD[/math]. Use the "Show/Hide Label" tool to display this new point's name.
What is the relationship between angles [math]AFD[/math] and [math]BFC[/math]?
Using the "Angle" tool, measure [math]\angle AFD[/math]. You can use the "move" tool to more easily see the angle measurement.
Slide the points [math]A[/math], [math]B[/math],[math]C[/math], and [math]D[/math] around, and observe the relationship between the measures of arcs[math]AD[/math] and [math]BC[/math] with the measure of [math]\angle AFD[/math].[br][br]Make the measures of arcs [math]AD[/math] and [math]BC[/math] equal. What do you notice about [math]\angle AFD[/math]?
Continue to slide the points [math]A[/math], [math]B[/math],[math]C[/math], and [math]D[/math] around, and record the measures of arcs[math]AD[/math] and [math]BC[/math] and the measure of [math]\angle AFD[/math]in a table like the one below.
Can you determine a function that relates the measures of the arcs with the measure of the angle? What is it?