Intersecting Chords
Using the "Line" tool, draw two lines, and .
Using the "Point" tool, mark the point at the intersection of lines and . Use the "Show/Hide Label" tool to display this new point's name.
What is the relationship between angles and ?
Using the "Angle" tool, measure . You can use the "move" tool to more easily see the angle measurement.
Slide the points , ,, and around, and observe the relationship between the measures of arcs and with the measure of . Make the measures of arcs and equal. What do you notice about ?
Continue to slide the points , ,, and around, and record the measures of arcs and and the measure of 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?
