Download presentation

1
**10.7: Rotations in the Coordinate Plane**

Expectation: G3.1.1: Define reflection, rotation, translation, and glide reflection and find the image of a figure under a given isometry. 3/25/2017 10.7: Rotations in the Coordinate Plane

2
**10.7: Rotations in the Coordinate Plane**

a. Plot A(x, y) b. Let C be the center of the rotation. c. Draw CA. d. Draw CB such that m∠ACB = e. Determine A’ on CB such that CA’ = CA. 3/25/2017 10.7: Rotations in the Coordinate Plane

3
**10.7: Rotations in the Coordinate Plane**

Draw the preimage and image of A(3,6) under a rotation with magnitude 55° (remember positive degree measure means counterclockwise). Let the origin be the center of the rotation. 3/25/2017 10.7: Rotations in the Coordinate Plane

4
**10.7: Rotations in the Coordinate Plane**

Rotation Equations R(x,y) = (x’, y’) x’ = xcos - ysin y’ = xsin + ycos 3/25/2017 10.7: Rotations in the Coordinate Plane

5
**10.7: Rotations in the Coordinate Plane**

Determine P’ = R(P) if P(3,6) and = 55. 3/25/2017 10.7: Rotations in the Coordinate Plane

6
**10.7: Rotations in the Coordinate Plane**

Determine P’ = R(P) if P(-4,8) and = 57. 3/25/2017 10.7: Rotations in the Coordinate Plane

7
**10.7: Rotations in the Coordinate Plane**

A swimmer swims 100 yards due east then 300 yards due north. The current moved her 6 off course from her intended destination. In relation to where she started, where did she end up? 3/25/2017 10.7: Rotations in the Coordinate Plane

8
**10.7: Rotations in the Coordinate Plane**

Give (x’,y’) = R(x,y) for each of the following rotations: a. = 0 b. = 90 c. = 180 d. = 270 e. = 360 7th hour 4/27/06 3/25/2017 10.7: Rotations in the Coordinate Plane

9
**10.7: Rotations in the Coordinate Plane**

Matrices A matrix is a rectangular arrangement of numbers into rows and columns The plural of matrix is matrices. m x n matrix: m rows and n columns 3rd hour 5/1/06 3/25/2017 10.7: Rotations in the Coordinate Plane

10
**10.7: Rotations in the Coordinate Plane**

Rotation matrix [ ] cos -sin sin cos 3/25/2017 10.7: Rotations in the Coordinate Plane

11
**Rotating (x,y) with magnitude of :**

[ ] [ ] x y cos -sin sin cos 3/25/2017 10.7: Rotations in the Coordinate Plane

12
**Rotate P(-2,4) by 75 about the origin.**

3/25/2017 10.7: Rotations in the Coordinate Plane

13
**10.7: Rotations in the Coordinate Plane**

Rotate the triangle with vertices A(1,3), B(4,7) and C(3,-2) 300 about the origin. 3/25/2017 10.7: Rotations in the Coordinate Plane

14
**10.7: Rotations in the Coordinate Plane**

Assignment pages , # (odds except 21) 3/25/2017 10.7: Rotations in the Coordinate Plane

Similar presentations

Presentation is loading. Please wait....

OK

Warm-Up Which of the following does not belong?.

Warm-Up Which of the following does not belong?.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google