A dilation with a scale factor of 2/3 means that the size of the dilated shape will be reduced. Specifically, every dimension of the original shape will be multiplied by 2/3. This results in a shape that is smaller than the original but maintains the same proportions and angles.
For example, if the original shape has a side length of 6 units, after dilation, the side length will be:
6 units × 2/3 = 4 units
This scaling applies to all dimensions of the shape, so the area and volume will also be scaled accordingly. The area will be scaled by (2/3)², and the volume will be scaled by (2/3)³.
In summary, a scale factor of 2/3 reduces the size of the shape while keeping its shape and proportions intact.