1 / 7

Rotations

Rotations. Section 9.4. Rotations. A rotation is a transformation in which a figure is turned about a fixed point called the center of rotation. Rays drawn from the center of rotation to a point a nd its image form the angle of rotation. Coordinate Rules for Rotations about the Origin.

cadee
Download Presentation

Rotations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Rotations Section 9.4

  2. Rotations • A rotation is a transformation in which a figure is turned about a fixed point called the center of rotation. • Rays drawn from the center of rotation to a point and its image form the angle of rotation.

  3. Coordinate Rules for Rotations about the Origin • When a point (a, b) is rotated counterclockwise about the origin, the following are true: • For a rotation of 90o counterclockwise, (a, b)→(-b, a) • For a rotation of 180o counterclockwise, (a, b)→(-a, -b) • For a rotation of 270o counterclockwise, (a, b)→(b, -a) • 90o counterclockwise = 270o clockwise • 180o counterclockwise = 180o clockwise • 270o counterclockwise = 90o clockwise • If counterclockwise/clockwise is not stated, assume it is counterclockwise.

  4. Rotations • Quadrilateral RSTU has vertices R(3, 1), S(5, 1), T(5, -3), and U(2, -1). What are the coordinates of the vertices after a rotation of 270o counterclockwise about the origin.

  5. Rotations • Trapezoid has vertices E(-3, 2), F(-3, 4), G(1, 4) and H(2, 2). Find the vertices of the image for a 180o rotation about the origin.

  6. Rotations • Trapezoid has vertices E(-3, 2), F(-3, 4), G(1, 4) and H(2, 2). Find the vertices of the image for a 90o rotation clockwise about the origin.

  7. Assignment • p.602: 3-11

More Related