To determine the truthfulness of each statement regarding the transformation of Figure 1 to Figure 2 through a translation and dilation, we would need specific information about the figures and the transformations being described. Since that detailed visual or descriptive information is not provided here, I can give you a general guideline to analyze the statements:
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The translation is to the right along line r.
- True: If Figure 2 has been moved horizontally to the right from Figure 1 along a line labeled "r," this statement would be true. Otherwise, it would be false.
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The dilation is through W with a scale factor less than 1.
- True: If Figure 2 is a smaller version of Figure 1 and W is the center of dilation, then this statement is true. If Figure 2 appears larger or the same size as Figure 1, it would be false.
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The translation and dilation can be performed in either order.
- True/False: This is true if the specific translation and dilation do not affect each other's outcome significantly. For instance, if the translation does not change the relative size of the figures, then it can be done in either order. However, if doing one transformation affects the outcome of the second, this statement can be false.
Please assess the transformations visually or contextually to determine the validity of each statement accurately.