An expansion occurs when a mathematical object is scaled by a scale factor greater in absolute value than one. When an expansion occurs, the image is larger than the original mathematical object.

If the scaling occurs about a point, the transformation is called a dilation and the "point" is called the dilation centre.

The scaling can also occur about a line, but then the image may not necessarily be similar to the original object.

There are other terms with the same meaning as expansion such as the terms enlargement and magnification.

Notice in the expansion example above that the image is similar to the object.

Notice in the compression example above that the image is similar to the object.

Notice that when the scale factor is one, as in the example above, that the image is congruent to the object.

Notice in the expansion example above that the image is NOT similar to the object.

Notice in the compression example above that the image is NOT similar to the object.