Performing transformations on the coordinate plane

The  exercise appears under the 8th Grade Math Mission. This exercise further analyzes rigid transformations and asks reasoning questions based on these functions.

Types of Problems
There are two types of problems in this exercise:


 * 1) Perform the rotation and answer some questions: This problem asks the student to think about what happens when a certain rigid transformation is performed. They are asked to solve problems based on the transformation described.Ptotcp1.png
 * 2) Create the image after reflection: This problem provides a grid, a shape, and a transformation. The student is asked to move the points on the grid to create the image that would result from the transformation.Ptotcp2.png

Strategies
Knowledge of the basic rigid transformations and ability to work well geometrically and algebraically on the coordinate plane will assist with completion of this exercise.
 * 1) Matrices could be utilized for the problem about finding coordinates but without performing the rotation.

Real-life applications

 * 1) Knowledge of the Rigid transformations can be used to understand the Erlanger Programm, a method for developing and classifying non-Euclidean geometries.
 * 2) Symmetry is a useful concept in art.