Explain what relation a dilated figure has to its original
A) it is similar, but not congruent
B) it is congruent, but not similar
C) it is both congruent and similar
D) it is neither congruent nor similar
D) It is neither congruent nor similar.
When a figure is dilated, it means it is enlarged or reduced by a scale factor. This means that all the dimensions of the figure (lengths, angles, etc.) are multiplied by the scale factor. Since the dimensions of the dilated figure are different from the original figure, they are not congruent.
Furthermore, if two figures are similar, it means that they have the same shape but different sizes. However, because dilation changes the dimensions of a figure, the dilated figure is not similar to the original figure either.