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It may not be clear that an infinite number of similar triangles can be drawn to correspond to the original triangle. This is because a ratio can be established between corresponding sides, no matter what the size of each of the triangles (as long as the angles in both triangles are congruent). If you are working in a group, discuss this idea and make sure that everyone in the group understands how to set up a proportion in which one ratio is equal to another ratio.
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