To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, we need to analyze what characteristics of the figures have changed and how they relate to each other. The transformations mentioned include reflection, translation, rotation, and dilation.
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Dilation: This transformation changes the size of a figure while keeping the same shape (proportional scaling of all dimensions). If Figure 2 is larger or smaller than Figure 1 but retains the same shape, then dilation would be one of the transformations.
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Reflection: This transformation flips a figure over a given axis. If the figures are mirror images of each other, reflection would be involved.
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Rotation: This transformation turns a figure around a fixed point. If the orientation of Figure 2 is different from Figure 1, rotation could be one of the transformations.
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Translation: This transformation slides a figure from one position to another without altering its shape or size. If Figure 2 is simply a moved version of Figure 1, then translation is involved.
To describe the similarity between Figures 1 and 2, we would typically have to combine these transformations, but if only one transformation guarantees the similarity (like dilation), it’s the best choice.
Based on the options provided, if both size and position/orientation have changed, the correct combination might be dilation and translation or dilation and reflection depending on the specific characteristics of Figures 1 and 2.
Final answer: The sequence of transformations is likely "dilation and translation" or "dilation and reflection".