1 / 19

Honors Geometry Transformations Section 2 Rotations

Honors Geometry Transformations Section 2 Rotations. A rotation is a transformation in which every point is rotated the same angle measure around a fixed point. The fixed point is called the . c enter of rotation.

morgan
Télécharger la présentation

Honors Geometry Transformations Section 2 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. Honors Geometry Transformations Section 2Rotations

  2. A rotation is a transformation in which every point is rotated the same angle measure around a fixed point.The fixed point is called the center of rotation.

  3. The ray drawn from the center of rotation to a point and the ray drawn from the center of rotation to the point’s image form an angle called the angle of rotation.

  4. Rotationscan be clockwise ( ) or counterclockwise ( ).

  5. Let’s take a look at rotations in the coordinate plane.

  6. Example 1: Rotate 180 clockwise about the origin (0, 0). Give the coordinates of _______ _______

  7. Would the coordinates of and be different if we hadrotated counterclockwise instead? NO

  8. Rotations around the origin can be made very easily by simply rotating your paper the required angle measure. Note: The horizontal axis is always the x-axis and the vertical axis is always the y-axis.

  9. Example 2: Rotate 90 clockwise about the origin. Give the coordinates of ________ ________

  10. Example 2: Rotate 90 clockwise about the origin. Give the coordinates of ________ ________ A B

  11. Example 3: Rotate 90counterclockwise about the origin.Give the coordinates of ________ ________ B A

  12. For rotations of 900 around a point other than the origin, we must work with the slopes of the rays forming the angle of rotation. Remember: If two rays are perpendicular then their slopes are opposite reciprocals.

  13. Example 4: Rotate 90 clockwise about the point (–1, 3).

  14. Example 4: Rotate 90counterclockwise about the point (–1, 3).

  15. Example 6: Rotate 900 counterclockwise around the point (3, 0)

  16. A figure has rotational symmetry if it can be rotated through an angle of less than 360 and match up with itself exactly.

  17. Example 7: State the rotational symmetries of a square regular pentagon

  18. Example 8: Name two capital letters that have 180 rotational symmetry.

More Related