Defining rotations (interactive)

The  exercise appears under the 8th grade (U.S.) Math Mission and Geometry Math Mission. This exercise practices rotation on the coordinate plane.

Types of Problems
There is one type of problem in this exercise:


 * 1) Use the rotation tool: This problem provides a coordinate plane and two images that are congruent. The student is asked to find the correct angle and point that would be used to rotate the preimage into the image.Defroti1.png

Strategies
Knowledge of the coordinate plane and geometric transformations, particularly rotations, are encouraged to ensure success on this exercise.
 * 1) Rotations are defined by the direction that they turn the plane.
 * 2) A point and an angle of rotation are needed to completely determine a rotation.
 * 3) By connecting the endpoints of the images and preimages you can find the angle of rotation.

Real-life Applications

 * 1) Rotation is a size preserving transformation, so figures are kept congruent. These can help with the Erlanger Programm.
 * 2) Rotations can be represented by angles which connects to trigonometry.