

Rotations of points, shapesIn math, a rotation lives up to its name!To rotate an object you need a center of rotation and how much you want to rotate it. By convention, positive rotations go counter clockwise, and negative rotations go clockwise.
This Page: How To Perform Roations **  Rotation by 90  Rotation by 180  Rotation by 270 Related: Transformations Home  Translation in Math  Reflection in Math Rotation in Math compositions of transformations  composition of reflections  Theorems involving reflections  images
Interactive demonstration of How to Perform a Rotation in Math
The demonstration below that shows you how to easily perform the common Rotations (ie rotation by 90 , 180 , or rotation by 270) . There is a neat 'trick' to doing these kinds of transformations. The basics steps are to graph the original point (the preimage), then physically 'rotate' your graph paper, the new location of your point represents the coordinates of the image. It's much easier ot understand these steps if you watch the visual demonstration below.
Rotation notation is usually denoted R(_{center , degrees})
Very often rotations are performed using coordinate notation as they all are on this page. The coordinates allow us to easily describe the image and its preimage.
This Page: How To Perform Roations **  Rotation by 90  Rotation by 180  Rotation by 270 Related: Transformations Home  Translation in Math  Reflection in Math Rotation in Math compositions of transformations  composition of reflections  Theorems involving reflections  images This Page: How To Perform Roations **  Rotation by 90  Rotation by 180  Rotation by 270 Related: Transformations Home  Translation in Math  Reflection in Math Rotation in Math compositions of transformations  composition of reflections  Theorems involving reflections  images 