Students will rotate a triangle about the origin and discover the rules for rotations of 90 and 180 degrees, as well as the relationship between the original points and the rotated points.

1) What are the coordinates of points A, B, and C?[br][br]2) Move the slider to rotate the triangle 90 degrees counterclockwise about the origin. What are the coordinates of A', B', and C'? Can you describe a rule for this rotation using (x, y) ?[br][br]3) Move the slider to rotate the triangle 180 degrees counterclockwise about the origin. What are the coordinates of A', B', and C'? Can you describe a rule for this rotation using (x, y) ?[br][br]4) Move the slider to rotate the triangle 270 degrees counterclockwise about the origin. What are the coordinates of A', B', and C'? Can you describe a rule for this rotation using (x, y) ?[br][br]