ROTATIONS7.3

HOW DO ROTATIONS WORK?

Every point rotates around the center in a circle. Since the radius of the circle will not change, the point is

just as far from the center as it was, just in a new direction.

VOCABULARY

Rotation: A type of transformation in which a figure is turned about a

fixed point. Center of Rotation:

The fixed point of a rotation is called the center of rotation. Angle of Rotation:

The angle formed when rays are drawn from the center of rotation to a point and its image.

4

2

-2

-4

-5 5

B'C'

angle of rotation

A is the center of rotaion

C

BA

WHEN ROTATING AROUND THE ORIGIN…

Every 90˚ rotation will exchange the x and y coordinates. Every 90˚ rotation will change the quadrant the figure is

in.

TYPES OF ROTATIONS

Rotation about vertex of figure Rotation about a point not on figure Rotation about a point inside the figure.

DOUBLE REFLECTIONS… ACTIVITY TIME!

Write your name in one of the triangles, filling the triangle as much as possible! Bubble letters, etc… be creative!

“Name

Art

Rotation”

DOUBLE REFLECTIONS

A double reflection is the same as a rotation!

The angle of rotation is twice the measure of the angle between the lines of reflection

WHAT YOU WILL BE ASKED TO DO

5. CD 6. FG 7. EF 8. AB . 9. HPA 10. GPH

WHAT YOU WILL BE ASKED TO DO

14.) A’ (1,3) B’(3,3)C’(3,-1) D’(1,-1) 15.) A’ (0,2) B’(2,3)C’(4,2) D’(2,1)

WHAT YOU WILL BE ASKED TO DO

11.) 64 12.) 64

Homework:

Finish your “Name Art Rotation”It must be FULLY colored…

no white space!

7.3 Pg. 41613-19, 25-27, 30-35