Scale from Center
To resize an object from the opposite side:
The object resizes in both directions from the bottom center of the object on the selected axis.
To show an example, below is a cube that has been moved so that the edges line up with the ground plane grid:

Select the X control point nearest the Director's View, press Opt/Alt and drag right.
Notice how it resizes from on the X-axis in both directions. The arrows show the direction it scales towards.

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