Properties or Rules of Transformations

Translation What do you Notice about this Translation going From blue to red? How are the Ordered pairs Affected?

Reflection 3 types Over the x axis Over the y axis Over the line y=x

Example Given the following picture reflect over the y axis and the write the coordinates

This is reflection along the line y=x, notice the location of the original points and how they are different in the new image, x and y are reversed Point (-1,2) Point (-4,1) Point (-3,5) Point (2,-1) Point (1,-4) Point (5,-3)

Rotation about Origin Rotate a figure 180 degrees about the origin what do you notice Rotate a figure 90 degrees clockwise or counter clockwise what do you notice?

Old New X Y X’ Y’ 2 3 -2 -3 5 1 -5 -1 4 6 -4 -6

Old New X Y X’ Y’ 2 3 -2 5 1 -5 4 6 -4