Explain the differences between an isometric transformation and a dilation.

Answer:

An isometric transformation (like translation, reflection, or rotation) preserves both distances and angles, resulting in an image that is congruent to the pre-image. In contrast, a dilation preserves angle measures but changes the size of the figure by a scale factor, making the sides proportional. Therefore, a dilation produces an image that is similar, but not necessarily congruent, to the pre-image.