In the GeoGebra applet below:[br][br]Use the slider tool to rotate Daffy Duck 90 degrees. [br][br]After doing all this, please answer the question that appear below the applet.
[b][color=#ff7700]Let C = (2,-2) be the point[/color] about which [color=#1e84cc]points [i]A[/i] and [i]B[/i] (and Daffy Duck)[/color] are rotated. [/b] [br]Place [b][color=#1e84cc]point [i]A[/i] at (2, 3)[/color][/b] and [b][color=#1e84cc]point [i]B[/i] at (5, 1)[/color][/b]. [br][br]When Daffy was rotated 90 degrees: [br] [br]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]A[/color][/b]? [br][/i]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]B[/color][/b][/i]?
1) Translate (2, -2) to the origin by the vector <-2, 2>.[br]2) Translate each pre-image point by the vector <-2, 2>.[br]3) A(2, 3) = A'(0, 5) and B(5, 1) = B'(3, 3).[br]4) Rotate A' and B' 90 degrees counter-clockwise.[br]5) A"(-5, 0) and B"(-3, 3).[br]6) Fixed the center or rotation by undoing the vector of <-2, 2> by using the vector <2, -2>.[br]7) A'''(-3, -2) and B'''(-1, 1).
[b][color=#ff7700]Let C = (2,-2) be the point[/color] about which [color=#1e84cc]points [i]A[/i] and [i]B[/i] (and Daffy Duck)[/color] are rotated. [/b] [br]Place [b][color=#1e84cc]point [i]A[/i] at (2, 3)[/color][/b] and [b][color=#1e84cc]point [i]B[/i] at (5, 1)[/color][/b]. [br][br]When Daffy was rotated 180 degrees: [br][br]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]A[/color][/b]? [br][/i]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]B[/color][/b][/i]?
[b][color=#ff7700]Let C = (2,-2) be the point[/color] about which [color=#1e84cc]points [i]A[/i] and [i]B[/i] (and Daffy Duck)[/color] are rotated. [/b] [br]Place [b][color=#1e84cc]point [i]A[/i] at (2, 3)[/color][/b] and [b][color=#1e84cc]point [i]B[/i] at (5, 1)[/color][/b]. [br][br]When Daffy was rotated 270 degrees: [br][br]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]A[/color][/b]? [br][/i]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]B[/color][/b][/i]?
On Graph Paper, Rotate point A and point B 90 degrees counter-clockwise.[br][br]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]A[/color][/b]? [br][/i]What are the coordinates ([i]x[/i], [i]y[/i]) of the image of [i][b][color=#1e84cc]B[/color][/b][/i]? [br][br]