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Other Methods of Proving Triangles Congruent Section 4-5 AAS Theorem • If two angles and a nonincluded side of one triangle are congruent to the coresponding parts of another triangle, then the triangles are congruent. AAS Example HL Theorem • If the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. • Hypotenuse is side opposite right angle, legs are other two sides. HL Example