Section 7 3 Rotations OBJECTIVE To draw and

Section 7. 3 Rotations • OBJECTIVE: To draw and identify rotation images of figures BIG IDEAS: Transformations and Coordinate Geometry ESSENTIAL UNDERSTANDING: Distances, angle measures, and orientation of a geometric figure stay the same when a figure is rotated about a center of rotation. MATHEMATICAL PRACTICE: Make sense of problems and persevere in solving them

Rotation about a Point �A Rotation ( ) about a point Q, called the center of rotation, is a transformation with these two properties: �The image of Q is itself (that is, �For any other point V, �The number of degrees a figure rotates is the angle of rotation. • Rotation is an isometry )

Rotation Rules �Rotations in the coordinate axes have the following properties: � If is rotated clockwise about the origin, its image is � If is rotated clockwise about the origin, its image is �Rotations that are counterclockwise about the origin are the opposites of clockwise. � � � clockwise counterclockwise

EX 1: Drawing Rotations in a coordinate plane �a) ABCD has vertices What is the graph of clockwise about the origin.

EX 1: Drawing Rotations in a coordinate plane �b) PQRS has vertices What is the graph of counterclockwise about the origin

EX 2: State the segment or triangle that represents the image �a) �b) �c) �d) �e)

Image for EX 2

Math IXL L 7 and L 8 2 Ribbons on L 7 and Mastery on L 8