Copy of Rotations Investigation
Rotations
Below you see a computer-generated rotation. When you move the green slider, it will make the transformed shape rotate by the given degrees. The table to the right of it shows the coordinates of the original shape (Point A, Point B, and Point C) and the transformed shape (Point A', Point B', and Point C').
Play around with the slider and see if you can find any patterns with the points as you rotate. You can also drag Point A, Point B, and Point C around and see how that affects the coordinates in the table
When you are done investigating, answer the questions below. For each, there is only one answer, and you leave the wrong answers blank. You should check your answers after each!
Investigating Rotations
Move the slider (the green circle). It will make a transformed shape rotate. When you move the slider to the left (the negative direction), which direction is that?
Which transformation switches the x- and y-coordinates?
Which transformation keeps the x- and y-coordinates in the same place?
Which degree of rotation moves one quadrant?
Which degree of rotation moves two quadrants?
Which degree of rotation moves three quadrants?
Which rotation is equivalent to 180 degree rotation counterclockwise about the origin?
Which rotation is equivalent to 90 degree rotation counterclockwise about the origin?
Which rotation is equivalent to 270 degree rotation counterclockwise about the origin?