1. 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

2. 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

3. 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
If is rotated clockwise about the origin, its image is  
Rotations that are counterclockwise about the origin are the opposites of clockwise.
clockwise counterclockwise
clockwise counterclockwise
clockwise counterclockwise

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

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

6. EX 2: State the segment or triangle that represents the imageb) c) d) e)

7. Image for EX 2

8. Math IXL L7 and L8
2 Ribbons on L7 and Mastery on L8