Transformation Retest Review 24

A translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction.

To translate the point (x, y) 3 units left and 9 units down, you subtract 3 from the x-coordinate and 9 from the y-coordinate: (x - 3, y - 9).

The new coordinates would be (-2, -5).

Reflection is a transformation that flips a shape over a line, creating a mirror image.

To reflect the point (x, y) over the line y = x, you swap the coordinates: (y, x).

The reflected point C' would be (2, -6).

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

The coordinates after a 90° clockwise rotation would be (y, -x).

This is called a translation.

The rule is (x, y) → (x - 2, y + 3).