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. Coordinates of original point
Transformations in Coordinate Geometry
Coordinate Notation ( x , y )  ( x + a , y + b )
1. Describe the translation using words: (x, y)  (x – 7 , y + 2 )
2. Describe the translation using coordinate notation: A figure is moved 5 units to the right and 4 units up.
3. Describe the translation in words and in coordinate notation.
Coordinates of original point
“a” tells how many units to shift the figure to the left or right.
“b” tells how many units to shift the figure up or down.

3. 4. Draw a quadrilateral JKLM with vertices J(-5, 3), K(-4, 5), L(-3, 3),
and M(-4, 1). Then find the coordinates of the vertices of the image
after the translation (x, y)  (x + 6 , y – 2 ) and draw the image.
Original Image
J(-5, 3) 
K(-4, 5) 
L(-3, 3) 
M(-4, 1) 
Identify the transformation. If it is a reflection, identify the line of reflection. If it is a rotation,
give the angle and direction of rotation.