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Explain why triangleABC is similar to triangle triangle ADE

Be sure to provide geometry reason( Theorem/definition/etc)for each statement, and you have enough statements that justify this conclusion. Consider this a kind of paragraph type proof.

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Answer:

In the given figure, line segment is constructed on the triangle parallel to line segment . ... This line can then be considered as a transversal of these parallel lines. Angle and angle are therefore corresponding angles. And as they're corresponding, this means that they're equal.

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