A rotation is an isometric transformation that turns every point of a figure through a specified angle and direction about a fixed point. To describe a rotation, you need three things: Direction (clockwise CW or counterclockwise CCW) Angle in degrees; Center point of rotation (turn about what point?)

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 pre-image), then physically 'rotate' your graph paper, the new location of your point represents ...

Rotation Rules for the Coordinate Grid. Lucky for us, these experiments have allowed mathematicians to come up with rules for the most common rotations on a coordinate grid, assuming the origin, \((0,0)\), as the center of rotation. Here are the rotation rules: 90° clockwise rotation: \((x,y)\) becomes \((y,-x)\)

To rotate a figure in the coordinate plane, rotate each of its vertices. Then connect the vertices to form the image. Rules on Finding Rotated Image

Translation, reflection, rotation, and dilation are the 4 types of transformations. The translation is moving the shape in a particular direction, reflection is producing the mirror image of the shape, rotation flips the shape about a point in degrees, and dilation is stretching or shrinking the shape by a constant factor.