Draw the image of a rotation about an arbitrary point

The  exercise appears under the Geometry Math Mission. This exercise practices rotation on the coordinate plane about any point.

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


 * 1) Make the rotation about the point: This problem provides a figure, and a point and angle for rotation. The student is expected to create the image after the figure is rotated the specified number of degrees about the point. The rotation point on this exercise can be any point.Rotations2-1.png

Strategies
Knowledge of the coordinate plane and geometric transformations, particularly rotations, are encouraged to ensure success on this exercise.
 * 1) The rotations on this exercise are about any specific point. Make an "L" to one endpoint of the preimage to the rotation point, then rotate that point by spinning the pinwheel made with the "L."
 * 2) The angles of rotation are multiples of 90 degrees, and angles are defined counter-clockwise as always in mathematics.
 * 3) A point and an angle are needed to completely define a rotation.
 * 4) By connecting the endpoints of the images and preimages to a common point it is possible to find the center of a rotation, and use this to find the angle of rotation.

Real-life Applications

 * 1) Rotation is a size preserving transformation, so figures are kept congruent, and it also preserves orientation
 * 2) Rotations model motion around objects affected by gravity
 * 3) Art, modern and classic, have connections with all geometric transformations.
 * 4) Architecture, drafting and engineering make use of geometric transformations.