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# Transformation Rules

### Transformation of Figures Rules

TermDefinition
Reflection across the x-axis (x, y) -> (x, -y)
Reflection across the y-axis (x, y) -> (-x, y)
Reflection across the line y = x (x, y) -> (y, x)
Reflection across the line y = -x (x, y) -> (-y, -x)
Rotation 90 degrees CounterClockwise (x, y) -> (-y, x)
Rotation 270 degrees Clockwise (x, y) -> (-y, x) same rule as 90 degrees counterclockwise
Rotation 180 degrees CounterClockwise (x, y) -> (-x, -y)
Rotation 270 degrees CounterClockwise (x, y) -> (y, -x)
Rotation 90 degrees Clockwise (x, y) -> (y, -x) same rule as 270 degrees counterclockwise
Rotation 180 degrees Clockwise (x, y) -> (-x, -y)
Translation up "a" units (x, y) -> (x, y+a)
Translation down "a" units (x, y) -> (x, y-a)
Translation left "b" units (x, y) -> (x-b, y)
Translation right "b" units (x, y) -> (x+b, y)
Translation right "b" units and up "a" units (x, y) -> (x+b, y+a)
Translation left "b" units and down "a" units (x, y) -> (x-b, y-a)
Dilation from origin with scale factor "k" (x, y) -> (kx, ky)
Created by: jilltrahan

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