Download presentation

Presentation is loading. Please wait.

Published byHelen Lambert Modified about 1 year ago

1
Rotations A turn around a center. The distance from the center to any point on the shape stays the same.

2
Clockwise Rotations degrees & direction

3
Rotation of 90°: Rotation of 180°: Rotation of 270°: A rotation turns a figure through an angle about a fixed point called the center. It is a rigid isometry. Rules of rotation are for clockwise rotations. Counter clockwise rotations are opposite clockwise. 90°cw = 270°ccw and 270°cw = 90°ccw

4
N(1, -4) N'(-4, -1) (270 ° CCW rotation) T’ N’ S’ Rotate ∆TSN 90°cw (x, y) (y, -x) T(-1, 1) T'(1, 1) S(4, -1) S'(-1, -4)

5
T(-1, 1) T'(1, -1) S(4, -1) S'(-4, 1) N(1, -4) N'(-1, 4) Rotate ∆TSN 180° (x, y) (-x, -y)

6
T(-1, 1) T'(-1, -1) S(4, -1) S'(1, 4) N(1, -4) N'(4, 1) Rotate ∆TSN 270° cw (x, y) to (-y, x)

7
Rotate 90 CW about the Origin (Same as 270 CCW) Change the sign of x and switch the order

8

9
Rotate 90 CW

10

11
Rotate 270 Clockwise (Same as 90 ccw) Change the sign of y and switch the order

12
Rotate 90° counterclockwise about the origin

13

14
Rotate 180 about the Origin ONLY Change the signs

15
Rotate 180° about the origin

16

17
Rotation of 90°: Rotation of 180°: Rotation of 270°: A rotation turns a figure through an angle about a fixed point called the center. It is a rigid isometry. Rules of rotation are for clockwise rotations. Counter clockwise rotations are opposite clockwise. 90°cw = 270°ccw and 270°cw = 90°ccw

18
Virtual Nerd Tutoring Lessons algebra/geometry/transformations-symmetry/define- transformations/rotation-definition Lesson on Rotations algebra/geometry/transformations- symmetry/rotating-figures/rotate-90- degrees-about-origin Lesson on Rotations 90° algebra/geometry/transformations- symmetry/rotating-figures/rotate-180- degrees-about-origin Lesson on Rotations 180°

19
Coordinate Rules for Rotations about the origin: When a point (x, y) is rotated clockwise about the origin, the following rules are true: For a rotation of 90 0 (x, y) (y, -x). For a rotation of (x,y) (-x, -y). For a rotation of (x,y) (-y, x). When a point (x, y) is rotated counterclockwise about the origin, the following rules are true: For a rotation of 90 0 (x,y) (-y, x). For a rotation of (x,y) (-x, -y). For a rotation of (x, y) (y, -x).

Similar presentations

© 2016 SlidePlayer.com Inc.

All rights reserved.

Ads by Google