In the figure below, C is the center of the circle. Use the figure to answer the questions that follow.
Which lines intersect circle C at two points? How about the lines that intersect the circle at exactly one point? What are the angles having A as the vertex? C as the vertex? D as the vertex? G as the vertex? Make a list of these angles, then describe each.
What arcs does each angle intercept? Which angles intercept the same arc? Using a protractor, find the measures of the angles identified in item #2. How would you determine the measures of the arcs intercepted by the angles? Give the degree measure of each arc.
Compare the measures of ∠DCE and ∠DAE. How about the ∠DE and ∠DAE? Explain your answer.
How is the ∠AD related to the ∠DAB? How about ∠EFA and ∠ZEAG?
What relationship exists among ∠AD, ∠AF, and ∠ZBGD?