In general, to prove that two polygons are similar, you must show that all pairs of corresponding angles are equal and that all ratios of pairs of corresponding sides are equal. In triangles, though, this is not necessary.
Two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
Example 1: Use Figure 1 to show that the triangles are similar.
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AA Similarity Postulate, Δ ABC ∼ Δ DEF. Additionally, because the triangles are now similar,
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