[color=#000000]Use coordinate geometry to prove that in a circle, an [/color][color=#980000][b]inscribed angle that intercepts a semicircle [/b][/color][color=#000000]is a [/color][color=#980000][b]right angle.[/b] [/color][color=#000000] [br][br]That is, write a coordinate geometry proof that formally proves what this applet informally illustrates. [br][/color][i][color=#000000][br]Hint: Write the equation of the provided circle in standard form first, and use coordinate geometry to prove that the two sides of this [/color][color=#980000][b]inscribed angle[/b][/color][color=#000000] are perpendicular. [/color][/i]