9-3 Rotations on the Coordinate Plane

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Presentation transcript:

9-3 Rotations on the Coordinate Plane Mrs. Taormina Geometry C

Rotations What two things do we consider in each transformation? 1. 2. Same orientation Rigid motion (isometric)

Rotation 90 degrees clockwise (or 270 degrees counterclockwise) ( a , b) → (b , -a) A (-4, 1) B (-2, 5) C (0, 2) A’ (1,4) B’ (5,2) C’ (2,0)

Rotation 90 degrees counterclockwise (or 270 degrees clockwise) ( a , b) → (-b , a) P (-6, -3) Q (-4, -3) R (-2, -5) S (-7, -6) P’ (3, -6) Q’ (3, -4) R’ (5, -2) S’ (6, -7)

Rotation of 180 degrees ( a , b) → (-a , -b) A (0, 4) A’ (0, -4) C (9, 2) D(7, 0) E (0, 0) A’ (0, -4) B’ (-7, -4) C’ (-9, -2) D’(-7, 0) E’ (0, 0)

Coordinate Plane

HW Complete rotations from Friday (I’d do those here) WS-Rotations with coordinates Pg. 566 (o = counterclockwise) #38-47 and #59-61