If two pairs of complementary angles in a pair of triangles are congruent, then the triangles are identical. We know this because if two angle pairs are exact, then the third pair must also be equivalent. When the three angle pairs are all identical, the three pairs of sides must even be in proportion.
A triangle considered similar
Two triangles are exact if they meet one of the subsequent criteria.
- Two pairs of corresponding angles are equal.
- Three pairs of corresponding sides are proportional.
- Two pairs of corresponding sides are proportional and the corresponding angles between them are equivalent.
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