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. Symmetry
Line Symmetry:
Rotational Symmetry:
Tell whether the figure has line symmetry, rotational symmetry, both or neither. Explain.
Do the following letters have a vertical line of symmetry, horizontal line of symmetry, or rotational symmetry? If it has rotational symmetry, give the measure of the smallest angle and direction of rotation.
A figure has line symmetry if it can be divided by a line, called a line of symmetry, into two parts that are mirror images of each other.
A figure has rotational symmetry if a turn of 180 degrees or less produces an image that fits exactly on the original figure.

3. 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