Geometry Transformations Review

A reflection is a transformation that flips a figure over a line, creating a mirror image.

The coordinates (x, y) become (y, x) after reflection over the line y = x.

The coordinates (x, y) become (-x, -y) after a 180-degree rotation around the origin.

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate.

The coordinates (x, y) become (x, -y) after reflection over the x-axis.

The coordinates (x, y) become (-x, y) after reflection over the y-axis.

Reflection over the y-axis.

(1, -3) is the image of point A after reflection over the line y = x.

The coordinates of K'' are (-1, 9) after the transformations.

A rotation is a transformation that turns a figure around a fixed point at a specified angle.