Transformations

1
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
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. 5. 6. 7.