[color=#000000]Any [/color][color=#980000][b]quadrilateral that is inscribed inside a circle[/b][/color][color=#000000] is said to be a [/color][i][color=#980000][b]cyclic quadrilateral[/b][/color][color=#000000].[/color][/i][color=#000000] [br][br]In the applet below, a cyclic quadrilateral (with moveable vertices) is shown. [br][br]Slide the slider slowly and carefully observe what happens. Then, reset the applet. [br]Change the locations of the BIG POINTS and repeat this process.[br][br]Repeat the previous steps a few more times. Then, answer the questions that follow. [/color]
1) Suppose, in the applet above, the red angle measures 76 degrees. What would the measure of the blue angle be?[list] [/list][color=#000000]2) Suppose, in the applet above, the pink angle measures 130 degrees. What would the measure of the green angle be? [br][br]3) From what you've observed, what is the relationship between any pair of opposite angles of a cyclic quadrilateral? [br][br]4) Note that all 4 of this cyclic quadrilateral's interior angles are [i]inscribed angles[/i] of a circle. Explain why, using your previous work with inscribed angles, the phenomena you've observed above holds true for any cyclic quadrilateral. [/color]