A rotation is a transformation that creates a new figure through "turning" a figure around a given point.[br][br]The point is called the "center of rotation." Rays drawn from the center of rotation to a point and its image form the "angle of rotation."[br]
As you changed the angle of rotation and the vertices of the triangle, what relationships did you observe between the [b]segments[/b] and [b]angle measures[/b] of the original and the image created through a rotation?
Now, return to the GeoGebra sketch above. Use the slider to focus on [b]90˚, 180˚, and 270˚[/b]counter-clockwise rotations. Notice how the points change and record your findings below.
For a 90˚ counterclockwise rotation, the rule for changing each point is [math]\left(x,y\right)\longrightarrow[/math]
For a 180˚ counterclockwise rotation, the rule for changing each point is [math]\left(x,y\right)\longrightarrow[/math]
For a 270˚ counterclockwise rotation, the rule for changing each point is [math]\left(x,y\right)\longrightarrow[/math]
The challenge today is to explore a variety of compositions of transformations.