Transformation a change of position, shape or size of a figure Three types of transformation A slide called a translation A flip, called a reflection The figure you get after the transformation is called the image of the original figure. To identify the image of the original point A you can use the Notation of A’ which is read A Prime

X Y Reflections

Reflection of a figure is its mirror image. A figure is reflected across a line called the line of reflection. Each point of the reflected image is the same distance from the line of reflection as the corresponding point of the original figure. To find the coordinates of a reflected point: Across the Y-axis multiply the x coordinate by -1 Across the X-axis multiply the y coordinate by -1

A A’ X Y A Each point of the reflected image is the same distance from the line of reflection as the corresponding point of the original figure.

(-1,2) Reflect point A across the y axis (x, y) (-1,2) x(-1) = -1 x (-1)= 1 x’ = 1 y =y’ = 2 (x’, y’) (1, 2) Y X -2 Reflect point A’ across the x axis (x, y) (1,2) y(-1) = 2 x (-1)= -2 y’ = -2 x =x’ = 1 (x’, y’) (1, -2) (1,2) A A’ A’’ (1,-2)

(-1,2) Reflect triangle ABC across the y axis Y X -2 (1,2) A A’ (-2,1) (-1,1) (1,1) (2,1) B C C’ B’