Notation Tranformation Composition

a pre-image

rigid motion

translation

image

is a transformation that preserves distance and angle measures.

is a transformation that moves or slides points the same distance and in the same direction.

is a transformation that flips points across a line of reflection.

is a transformation that turns points about point called a center of rotation.

composition of transformation

translation

rigid motion

reflection

Flip

Move

Shrink

Turn

$$(y, x)$$

$$(-y, -x)$$

$$(-x, -y)$$

$$(x, y)$$

$$(y, -x)$$

$$(-y, x)$$

$$(x, -y)$$

$$(-x, y)$$

$$(x, y)$$

$$(-x, -y)$$

$$(y, x)$$

$$(-y, -x)$$

Scaling

Dilation

Reflection

Enlargement

$$\left(x,\ y\right)\rightarrow\left(-x,\ y\right)$$

$$\left(x,\ y\right)\rightarrow\left(2x,\ 2y\right)$$

$$\left(x,\ y\right)\rightarrow\left(x+3,\ y\right)$$

$$\left(x,\ y\right)\rightarrow\left(-y,\ x\right)$$

$$\left(x,\ y\right)\rightarrow\left(0.4x,\ 0.4y\right)$$