G.GCO.2 and G.GCO.4 Exploring Rotations Around Points
DIRECTIONS:
1.
Let C = (0,0) be the point about which points A and B (and Daffy Duck) are rotated. Place point A at (2, 3) and point B at (5, 1). When Daffy was rotated 90 degrees: What are the coordinates (x, y) of the image of A? What are the coordinates (x, y) of the image of B?
2.
Let C = (0,0) be the point about which points A and B (and Daffy Duck) are rotated. Place point A at (2, 3) and point B at (5, 1). When Daffy was rotated 180 degrees: What are the coordinates (x, y) of the image of A? What are the coordinates (x, y) of the image of B?
3.
Let C = (0,0) be the point about which points A and B (and Daffy Duck) are rotated. Place point A at (2, 3) and point B at (5, 1). When Daffy was rotated 270 degrees: What are the coordinates (x, y) of the image of A? What are the coordinates (x, y) of the image of B?
4.
Let (0,0) be the point about which points A and B (and Daffy Duck) are rotated. Suppose the coordinates of point A are now labeled as (x, y). Now even though we don't know what the coordinates of point A are, can you write expressions (in terms of x and/or y) for the coordinates of the image of A under a a) 90 degree counterclockwise rotation about (0,0)? b) 180 degree counterclockwise rotation about (0,0)? c) 270 degree counterclockwise rotation about (0,0)?