Use the understanding that the angle of rotation moves in a counter-clockwise direction to rotate figures from a description and an algebraic rule.Rigid motion A transformation which changes the position of a plane figure without changing the figures shape. Rotate a figure on a coordinate plane-both when the center of rotation is on the figure, and when it is at the origin. Describe that rigid motions describe ways you can move a figure either on or off a coordinate plane without changing size, shape, angles, or relationship between any of the parts. It is also called an isometric transformation.Describe that a center of rotation can be at the origin, on the figure, outside the figure, or inside the figure. Explain that rotations have one fixed point, the center of rotation.Use notation for rotation of a figure around a point.Common Core Standards Core Standards G.CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Side lengths remain the same and interior angles remain the same. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other. Describe where the general rule is derived from. Describe a sequence of rigid motions that will map a point, line segment, or angle onto another figure. Geometric Transformation Workouts: A collection of activities, questions, and drawings where the students look at and investigate rigid motions in various. A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Use an algebraic rule to show the rotation of a figure about a point and in a particular direction.It can be shown that there are only four plane. To define a rotation, a degree, direction, and center of rotation is required. Isometry, also called rigid motion, is a transformation (of the plane in our case) that preserves distances. Describe rotations as a rigid motion that turn a figure around a point in a certain direction a certain number of degrees.

Describe that rigid motions describe ways you can move a figure either on or off a coordinate plane without changing size, shape, angles, or relationship between any of the parts.

Rigid motion geometry definition