Rotations Activity
A rotation is a transformation that creates a new figure through "turning" a figure around a given point.
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."
Summary
As you changed the angle of rotation and the vertices of the triangle, what relationships did you observe between the segments and angle measures of the original and the image created through a rotation?
Now, return to the GeoGebra sketch above. Use the slider to focus on 90˚, 180˚, and 270˚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
For a 180˚ counterclockwise rotation, the rule for changing each point is
For a 270˚ counterclockwise rotation, the rule for changing each point is
Challenge!
The challenge today is to explore a variety of compositions of transformations.