1. 9.4 Perform Rotations Translations
Vector/Translations
Rotations
rotational symmetry

2. Rotation
A rotation is a transformation in which a figure is turned about a fixed point called
the _____________________
*** A counterclockwise rotation is a _______ rotation
*** A clockwise rotation is a _______ rotation.
Rays drawn from the center of rotation
to a point and its image form the __________________________.
CENTER OF ROTATION
positive
negative
A transformation that turns a figure about a fixed point called the center of rotation.  An object and its rotation are the same shape and size, but the figures may be turned in different directions.  
Amusement rides, such as the ferris wheel and the swing, allow you to experience the concept of rotation.
Rotations can be seen in planetary movement.
ANGLE OF ROTATION

3. EXAMPLE 1 Draw a 150° rotation of ∆ABC about the origin. A B C C’ B’

4. Example 2:
Draw a 60° rotation of
∆GHJ about the given
point.

5. Rotations
- b a
hyperlink
- a b
b - a
( b, -a)

6. Example 3:
Graph quadrilateral KLMN with vertices K(3, 2), L(4, 2), M(4, -3), and N(2, -1). Then rotate the quadrilateral 270° about the origin.
Since you have a 270° rotation, the rule you’ll use is:
(a, b) → ________________

7. Example 4:
Graph quadrilateral KLMN with vertices K(3, 2), L(4, 2), M(4, -3), and N(2, -1). Then rotate the quadrilateral 90° about the origin.
(a, b) → ______________

8. Is a rotation an Isometry?
Yes!!

9. EXAMPLE 5
The quadrilateral is rotated about P. Find the value of y.

10. Example 6:
The triangle is rotated about P. Find the value of b.

11. Let’s Check!