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Question
ariana uses a flag in a shadow play. when the flag moves closer to the screen, the shadow changes. the shadow represented by figure defg changes to form figure defg. how do the figures compare? the figures are the same? but not the same?
When an object is projected to form a shadow - like in a shadow play, the shape of the object and its shadow (the two figures) are similar. Similar figures have the same shape but not necessarily the same size. The transformation from the original figure (the flag's shape) to its shadow (the projected figure) is a dilation. Dilation changes the size of a figure while keeping its shape the same.
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The figures are the same shape, but not the same size.