To determine how the two figures are similar, we need to identify the transformations applied to one figure to obtain the other. The possible transformations are translation, dilation, rotation, and reflection.
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Translation: This moves the figure to a different position without changing its shape or size. If the two figures are in different locations but have the same shape and size, translation might be involved.
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Dilation: This changes the size of the figure while maintaining its shape. If one figure is a scaled version of the other, then dilation is part of the transformation.
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Rotation: This turns the figure around a fixed point. If the orientation of the figures is different but they have the same shape and size, rotation could be involved.
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Reflection: This flips the figure over a line, like a mirror image. If one figure appears as a mirror image of the other, reflection is involved.
Given these transformations, the correct sequence that exhibits the similarity between the two figures can be determined. It could involve:
- A combination of translation and dilation if the figures are the same shape but one is a scaled version located at a different position.
- A combination of rotation and reflection if the figures have the same dimensions but are oriented differently or mirror images of each other.
Without further context or images of Figures 1 and 2, the most likely answer based on common transformations would be either translation and dilation or rotation and reflection.
If you provide more specific details or characteristics of Figures 1 and 2, I can give you a more definitive answer.