Download presentation

Presentation is loading. Please wait.

Published byHelen Lambert Modified over 2 years ago

1
**The distance from the center to any point on the shape stays the same.**

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

2
**Rotations degrees & direction**

Clockwise

3
**𝑹 𝟗𝟎°𝒄𝒘 𝒙, 𝒚 =(𝒚, −𝒙) 𝑹 𝟏𝟖𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒙, −𝒚) 𝑹 𝟐𝟕𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒚, 𝒙)**

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. Rotation of 90°: Rotation of 180°: Rotation of 270°: 𝑹 𝟗𝟎°𝒄𝒘 𝒙, 𝒚 =(𝒚, −𝒙) 𝑹 𝟏𝟖𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒙, −𝒚) 𝑹 𝟐𝟕𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒚, 𝒙) Counter clockwise rotations are opposite clockwise. 90°cw = 270°ccw and 270°cw = 90°ccw

4
**Rotate ∆TSN 90°cw (x, y) (y, -x)**

T(-1, 1) T'(1, 1) S(4, -1) S'(-1, -4) N(1, -4) N'(-4, -1) N’ S’ (270 ° CCW rotation)

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) T(-1, 1) T'(1, -1) S(4, -1) S'(-4, 1) N(1, -4) N'(-1, 4)

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) T(-1, 1) T'(-1, -1) S(4, -1) S'(1, 4) N(1, -4) N'(4, 1)

7
**Rotate 90 CW about the Origin (Same as 270 CCW)**

Change the sign of x and switch the order

9
Rotate 90 CW

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
**Rotate 90° counterclockwise about the origin**

14
**Rotate 180 about the Origin**

ONLY Change the signs

15
**Rotate 180° about the origin**

16
**Rotate 180° about the origin**

17
**𝑹 𝟗𝟎°𝒄𝒘 𝒙, 𝒚 =(𝒚, −𝒙) 𝑹 𝟏𝟖𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒙, −𝒚) 𝑹 𝟐𝟕𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒚, 𝒙)**

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. Rotation of 90°: Rotation of 180°: Rotation of 270°: 𝑹 𝟗𝟎°𝒄𝒘 𝒙, 𝒚 =(𝒚, −𝒙) 𝑹 𝟏𝟖𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒙, −𝒚) 𝑹 𝟐𝟕𝟎°𝒄𝒘 𝒙, 𝒚 =(−𝒚, 𝒙) Counter clockwise rotations are opposite clockwise. 90°cw = 270°ccw and 270°cw = 90°ccw

18
**Virtual Nerd Tutoring Lessons**

Lesson on Rotations Lesson on Rotations 90° 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 900(x, y) (y, -x). For a rotation of 1800 (x,y) (-x, -y). For a rotation of 2700 (x,y) (-y, x). When a point (x, y) is rotated counterclockwise about the origin, the following rules are true: For a rotation of 900 (x,y) (-y, x). For a rotation of 2700 (x, y) (y, -x).

Similar presentations

Presentation is loading. Please wait....

OK

Properties of Rotations

Properties of Rotations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Conceptual architecture view ppt on android Ppt on mind reading technology Ppt on ms excel tutorial Ppt on commonwealth games 2010 Ppt on condition based maintenance definition Ppt on credit default swaps Ppt on planet jupiter Ppt on computer malwares bytes Ppt on area of parallelogram worksheets Ppt on asymptotic notation of algorithms examples