Question
Explain what relation a dilated figure has to its original.(1 point) Responses It is congruent but not similar. It is congruent but not similar. It is similar but not congruent. It is similar but not congruent. It is neither congruent nor similar. It is neither congruent nor similar. It is both congruent and similar.
Answers
GPT-4o mini
A dilated figure is **similar but not congruent** to its original figure.
In a dilation, the figure is enlarged or reduced from a center point while maintaining the same shape. This results in corresponding angles that remain equal and corresponding side lengths that are proportional (not necessarily equal). Therefore, the figures have the same shape (similar), but they are not the same size (not congruent).
So, the correct response is: **It is similar but not congruent.**
In a dilation, the figure is enlarged or reduced from a center point while maintaining the same shape. This results in corresponding angles that remain equal and corresponding side lengths that are proportional (not necessarily equal). Therefore, the figures have the same shape (similar), but they are not the same size (not congruent).
So, the correct response is: **It is similar but not congruent.**