Transformations on the Coordinate Plane

Front

What is a transformation on the coordinate plane?

Back

A transformation on the coordinate plane is an operation that moves or changes a figure in some way, including translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

How do you translate a point (x, y) 2 units left and 3 units up?

Back

The new coordinates will be (x - 2, y + 3).

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What are the coordinates of a point A(-2, 2) after a 180-degree rotation?

Back

A' will be (2, -2).

Front

What is a reflection?

Back

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

Front

What happens to the x-coordinate when reflecting over the y-axis?

Back

The sign of the x-coordinate changes.

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but not its shape, by a scale factor.

Front

What is the relationship between a pre-image and its image after a reflection?

Back

The pre-image and image are the same size.

Front

What is the effect of a translation on the size of a figure?

Back

A translation does not change the size or shape of a figure.