Translations

Front 1

translations

Back 1

Shift right ( “add” to x)

Shift left (“subtract” from x)

Shift up (“add” to y)

Shift down (“subtract” from y)

X -> left or right Y -> up or down

Front 2

reflections

Back 2

flip over a reference line or point on the coordinate plane

Front 3

reflections across x axis

Back 3

object flips across the x axis

(x, y) -> (x, -y)

Front 4

reflections in the origin

Back 4

flips across the origin, x & y values change for each ordered pair

(x, y) -> (-x, -y)

Front 5

reflections across the y axis

Back 5

object flips across the y axis, y value remains the same, and x value changes

(x, y) -> (-x, y)

Front 6

reflections across line y=x

Back 6

object flips across line y=x, the x and y values switch, y being the first and x being the second

(x, y) -> (y, x)

Front 7

reflections across the y=-x

Back 7

object flips across the line y=-x, x and y values switch and their signs change

(x, y) -> (-y, -x)