To determine the sequence of transformations that exhibits the similarity between Figures 1 and 2, let's analyze their positions and sizes based on the information provided:
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Figure 1 is located on the grid with its vertices defined by the rows (3rd to 5th row) and columns (2nd to 4th column). This indicates that it is a square placed in that grid with certain dimensions.
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Figure 2 is larger and rotated at an angle. Its vertices are given specific locations, and since it's larger than Figure 1, there must be a dilation in size.
To find the transformations between Figure 1 and Figure 2:
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Dilation: Since Figure 2 is larger than Figure 1, a dilation (enlargement) from Figure 1 to Figure 2 is evident.
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Rotation: Given that Figure 2 is described as rotated at an angle, it is clear that a rotation has occurred to align it with its current orientation compared to Figure 1.
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Reflection and Translation: There is no indication of reflection since both figures maintain the same structural shape and orientation (besides rotation). Translation does not seem necessary as we are primarily discussing size changes and rotation.
Putting this all together, the transformations involved in exhibiting the similarity between the two figures would be:
Rotation and Dilation.
Thus, the correct answer is "rotation and dilation."