Understanding Transformation Rules

Rotation Rule 270° Counterclockwise

• @@ (y, -x) @@

• @@ (-y, x) @@

• @@ (-x, -y) @@

• @@ (x, y) @@

*Front:* Transformation

• A change in color of a shape

• A change in position, size, or orientation of a shape

• A change in the material of a shape

• A change in the texture of a shape

*Front:* Rotation Rule 180° Clockwise

• (x, y) \rightarrow (x, y)

• (x, y) \rightarrow (-y, -x)

• (x, y) \rightarrow (-x, -y)

• (x, y) \rightarrow (y, x)

*Front:* Rotation

• a shape around a fixed point (origin)

• a linear movement along a straight path

• a change in size of an object

• a reflection across a line

Translation of right and up

• @@\left(x+A,\, y+B\right)@@

• @@\left(x-A,\, y+B\right)@@

• @@\left(x+A,\, y-B\right)@@

• @@\left(x-A,\, y-B\right)@@

*Front:* Properties of Dilation

• size, preserves shape

• changes color, alters texture

• increases weight, decreases volume

• remains static, loses symmetry

Identify: @@ (x, y) \rightarrow (x+5, y-3) @@

• Reflection

• Rotation

• Translation

• Dilation

*Front:* Translation

• a shape without rotating or flipping it

• a shape that is enlarged or reduced

• a shape that is rotated around a point

• a shape that is reflected over a line

*Front:* Properties of Reflection

• size, changes orientation

• increases brightness

• decreases size

• changes color

Example of Rotation

• a square 90° clockwise

• a triangle 180° counterclockwise

• a rectangle 45° clockwise

• a circle 360° clockwise