1. 1/22/14 Watch the following videos
Tyler Tarver
Shmoop
Look through following notes the notes
Practice the Animation on classzone.com
Chapter 4: Transformations and Symmetry
Assignment:
Worksheet

2. Perform Congruence Transformations
Geometry 4.8
Perform Congruence Transformations

3. Transformations: when you move or change a geometric figure in some way to produce a new figure. Image is what the new figure is called.
Congruence Transformations: changing the position of a figure without changing its size or shape. There are 3 types of transformations.
Translation: is when we move every point on the figure, the same distance and direction.
Reflection: is when we use a line of reflection to create a mirror image of the original figure.
Rotation: Turns a figure about a fixed point called the center of rotation

4. Coordinate Notation for a translation: (x,y) (x+a, y+b)
Which shows that each point (x,y) of the blue figure is translated horizontally a units and vertically b units y x b a

5. Coordinate Notation for a Reflection :
Reflection in the x-axis
Reflection in the y-axis y
(x,y) y
(x,y)
(-x,y) x x
(x,-y)
Multiply the y coordinate by -1
(x,y) (x,-y)
Multiply the x coordinate by -1
(x,y) (-x,y)

6. Rotation
90 clockwise Rotation
60 counterclockwise rotation y y x x

7. Example: Name the type of transformation

8. Example
Figure ABCD has the vertices A(-4, 3), B(-2, 4), C(-1, 1), and D(-3, 1). Sketch ABCD and its image after the translation (x, y)  (x+5, y-2).

9. Example
Figure WXYZ has the vertices W(-1, 2), X(2, 3), Y(5, 0), and Z(1, -1). Sketch WXYZ and its image after the translation (x, y)  (x-1, y+3).

10. ExAMPLE Use coordinate notation to describe the translation.
5 units right, 3 units up
7 units left, 4 units down