Transformations on the Coordinate Plane

Front

What is a transformation in the context of the coordinate plane?

Back

A transformation is an operation that moves or changes a shape in some way on the coordinate plane.

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without rotating or flipping it.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, usually the origin, by a certain angle.

Front

What does a 90° clockwise rotation about the origin do to a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What does a 90° counterclockwise rotation about the origin do to a point (x, y)?

Back

It transforms the point to (-y, x).

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule is (x, y) → (x, -y).

Front

What is the rule for reflecting a point across the y-axis?

Back

The rule is (x, y) → (-x, y).

Front

How do you identify a translation on the coordinate plane?

Back

A translation can be identified by a consistent change in the x and/or y coordinates of all points in the shape.

Front

What is the effect of reflecting a shape across the y-axis?

Back

The x-coordinates of the points change sign, while the y-coordinates remain the same.