[color=#000000]The applet below was designed to help you better understand what it means to rotate a point about another point. [br][br]In the applet below, feel free to change the locations of point [i]A[/i] and[/color] [color=#1e84cc]point [i]B[/i][/color]. [br][color=#000000]Interact with this applet for a few minutes, then answer the questions that follow.[/color]

[color=#000000][b]Questions: [/b][br][br]1) Regardless of the [/color][color=#1e84cc][b]amount of rotation[/b][/color][color=#000000], how does the distance [i]AC [/i]compare to the distance [i]AB[/i]? [br][br]2) Notice how, in the applet above, the [/color][color=#1e84cc][b]angle of rotation[/b][/color][color=#000000] could be [/color][color=#1e84cc][b]positive[/b][/color][color=#000000] or [/color][color=#1e84cc][b]negative[/b][/color][color=#000000].[br] From what you've observed, what does it mean for a [/color][color=#1e84cc][b]rotation angle[/b][/color][color=#000000] to have positive orientation? [br] What does it mean for an [/color][color=#1e84cc][b]angle of rotation[/b][/color][color=#000000] to have negative orientation? [br] Explain. [/color]