Similarity

Are B and C similar?



B and C would be similar, because first, the angles would all be corresponding (or the same measure). If A and B have corresponding angles as well as A and C, all of them would have to have the same angle measures on each sides. They also have corresponding side lengths, because they all have a scale factor between them. C is already known to be able to shrink into the same shape as A, so since B can stretch into A, C could shrink down to the size of triangle B. The scale factor in the example for B to C is 4, because A is half of C, while B is half of A. That means that B is 1/4 of C. Since the proportions are the same, there is a possible scale factor, there are corresponding angles and side, B and C would have to be similar.

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