To determine the correct sequence of transformations that exhibits the similarity between Figures 1 and 2, we need to consider how one figure can be transformed to become similar to the other.
- Translation: This involves sliding the figure from one position to another without changing its shape or size.
- Dilation: This involves resizing the figure, while keeping the proportions the same.
- Rotation: This involves turning the figure around a specific point.
- Reflection: This involves flipping the figure over a line.
Considering these transformations, let's evaluate the options:
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Translation and dilation: This option suggests moving the figure and resizing it, which is commonly how similarity is achieved.
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Rotation and dilation: This suggests turning the figure and resizing it, which could also achieve similarity.
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Translation and reflection: This suggests moving and flipping the figure, which may not always maintain similarity unless specific conditions apply.
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Rotation and reflection: This suggests turning and flipping, which usually does not preserve similarity.
Without specific details about Figures 1 and 2, the strongest candidates for achieving similarity are either "translation and dilation" or "rotation and dilation." Typically, figures are considered similar when one can be obtained from another by dilation and/or translation.
Therefore, the most common sequence of transformations to achieve similarity between two figures is likely translation and dilation.
Thus, the correct response would be: translation and dilation.