Final answer:
The statement is true; a dilation with a scale factor of 1.5 results in an image that is larger than the original, which is similar to an image with magnification greater than 1 in optics.
Step-by-step explanation:
The statement in question is true. A dilation with a scale factor of 1.5 implies that the image will be enlarged and indeed, the dilated image will be bigger than the original. When discussing magnification in geometric optics, a magnification factor greater than 1 indicates that the image is larger than the object. For example, a magnification of 4 means the image is four times the size of the object. Similarly, a scale factor of 1.5 in a dilation means the image is 1.5 times the size of the original figure.
This concept is consistent with the principles of magnification in lenses, where a positive magnification indicates that the image is upright and larger than the actual object if the magnification is greater than 1. It's important to note that the magnified image's distance from the lens is greater in magnitude than that of the object's distance, which may be counterintuitive as one might think a larger image is closer when in fact it's farther away.