1. A movement of a figure in a plane.
Transformations
Transformation:
Image:
Translation: Reflection: Rotation:
A movement of a figure in a plane.
The new figure formed by a transformation.
In the textbook, the original figure will be BLUE and the image will be RED.
SLIDE
FLIP
TURN
Each point of a figure is moved the same distance in the same direction.
A figure is reflected in a line called the line of reflection, creating a mirror image of the figure.
A figure is rotated through a given angle and in a given direction about a fixed point called the center of rotation.

2. Multiply the y-coordinate by -1 Multiply the x-coordinate by -1
You can use coordinate notation to describe reflections in the x- and y-axes.
Reflection in the x-axis Reflection in the y-axis
1. Draw parallelogram ABCD with vertices A(-3, 3), B(2, 3), C(4, 1),
and D(-1, 1). Then find the coordinates of the vertices of the image
after a reflection in the x-axis and draw the image.
Original Image
A(-3, 3) 
B(2, 3) 
C(4, 1) 
D(-1, 1) 
Multiply the y-coordinate by -1
Multiply the x-coordinate by -1

3. center of rotation angle of rotation clockwise counterclockwise
The ____________________________for all rotations in the textbook will be the origin. Rays drawn from the center of rotation through corresponding points on an original figure and its image form an angle called the _____________________________.
Rotations are described by the angle and direction of rotation,
either _________________ or _________________________.
NOTE: a complete circle (rotation) is Half of a rotation is:
Begin with the light figure, and rotate to the dark figure.
Estimate the angle and direction of rotation.
angle of rotation
clockwise
counterclockwise

4. Rotations in Coordinate Geometry:
Coordinate notation for specific rotations.
Rotational Symmetry
5. Since you can rotate an equilateral triangle three times within
the 360 degree turn, divide 360 by 3 to find the angle of rotation.