Watch the following videos Tyler Tarver Shmoop Look

� 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

Perform Congruence Transformations

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

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 y vertically b units x b a

COORDINATE NOTATION FOR A REFLECTION : Reflection in the x-axis y Reflection in the y-axis 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)

90 clockwise Rotation y 60 counterclockwise rotation y x x

� 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).

� 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).

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