Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them.

Example Problems
Polygon H is a scaled copy of Polygon F using a scale factor of .
Polygon H's area is what fraction of Polygon F's area?
Polygon E is a scaled copy of Polygon F using a scale factor of .
Polygon E's
area is what fraction of Polygon F's area?
Polygon R is a scaled copy of Polygon S using a scale factor of .
Polygon R's
area is what fraction of Polygon S's area?
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