1) Position Wily Coyote (using points [i][b][color=#cc0000]A[/color][/b][/i] and [i][b][color=#1e84cc]B[/color][/b][/i]) anywhere you'd like within the coordinate plane.[br]2) Select the REFLECT ABOUT LINE [icon]/images/ggb/toolbar/mode_mirroratline.png[/icon] tool. [br] Then drag a rectangle around points [i][b][color=#cc0000]A[/color][/b][/i], [i][b][color=#1e84cc]B[/color][/b][/i], and Wily's picture. [br] This should cause these 3 items to become highlighted. [br] Select the dashed line. [br][br]3) The images of these items should now appear. [br][br]Please answer the questions that appear below the applet.
Move the [b][color=#ff7700]ORANGE POINTS[/color][/b] so that the [b]dashed line lies right on top of the yAxis. [/b][br][br]What do you have as Wily's corner points ( ?, ??). Write them down below. [br] What are the coordinates of the images of these points? Please record these below too. [br][br]Do you notice anything interesting? Explain.
According to your observations from (1), [b]what would the image of any point (x, y) after being reflected about the yAxis?[/b] (Write your response in terms of x and y).
Move the [b][color=#ff7700]ORANGE POINTS[/color][/b] so that the[b] dashed line lies right on top of the xAxis. [/b] [br][br]What do you have as Wily's corner points ( ?, ??). Write them down below. [br] What are the coordinates of the images of these points? Please record these below too. [br][br]Do you notice anything interesting? Explain.
According to your observations from (1), [b]what would the image of any point (x, y) after being reflected about the xAxis? [/b] (Write your response in terms of x and y).
Move the [b][color=#ff7700]orange points[/color] [/b]so the equation of the line becomes [math]y=x[/math]. [br][b]What is the image of point ([i]a[/i], [i]b[/i]) under a reflection about the line [/b][math]y=x[/math][b]? [/b]
Move the 2 [b][color=#ff7700]orange points[/color][/b] around to change the equation of the line to [math]y=-x[/math]. [br][b]What is the image of point ([i]a[/i], [i]b[/i]) under a reflection about the line [/b][math]y=-x[/math][b]? [/b]