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In Part A, we outlined an argument that if two triangles have all three pairs of sides in proportion, the triangles must be similar. This is the SSS similarity test.
There are two other similarity tests:
• | AAA similarity: If two triangles have corresponding angles that are congruent, then the triangles are similar. Because the sum of the angles in a triangle must be 180°, you really only need to know that two pairs of corresponding angles are congruent to know the triangles are similar.
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• | SAS similarity: If two triangles have two pairs of sides that are proportional and the included angles are congruent, then the triangles are similar.
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