Rotations Geometry Unit 7, Lesson 3 Mrs. King. What is a Rotation? Definition: A turn. Example?

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Presentation transcript:

Rotations Geometry Unit 7, Lesson 3 Mrs. King

What is a Rotation? Definition: A turn. Example?

London Eye

Directions of Rotations! Positive rotations go in a counterclockwise direction. Negative rotations go in a clockwise direction. Clockwise Counterclockwise Illustration from:

Rotation Rule 90°: (x,y)  (-y,x) Swap the numbers and change the new “x” value sign.

Rotation Rule 90°: 180°: 270°: 360°: (x,y)  (-y,x) Rotate 90° two times Rotate 90° three times NOTHING!

Graphing Coordinates Rotate the point (4,7): –90°: –180°: –270°: –360°: y x (-7,4) (-4,-7) (7,-4) (4,7) (-7,4) (-4,-7) (7,-4)

Example 1: Graph the vertices of parallelogram WXYZ. –W(-7,1) –X(-3,1) –Y(-2,5) –Z(-6,5) Rotate the parallelogram 90°. y x WX Y Z W’(-1,-7) X’(-1,-3) Y’(-5,-2) Z’(-5,-6) W’ X’ Y' Z’

Example 2: Graph the vertices of parallelogram WXYZ. –W(-7,1) –X(-3,1) –Y(-2,5) –Z(-6,5) Rotate the parallelogram 270°. y x WX Y Z W’(1,7) X’(1,3) Y’(5,2) Z’(5,6) W’ X’ Y' Z’ (-1,-7)(7,-1)

Practice with Rotations th/geometry/GT4/PracRot.htm th/geometry/GT4/PracRot.htm

Practice: A(2,3), B(2,-1), C(-1,-1) Graph triangle ABC under the following rotations:

Answer: