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AA Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, the triangles are similar
SAS Similarity Theorem
If two sides are in proportion to two sides of another triangle and the included angles are congruent, the triangles are similar
SSS Similarity Theorem
If all three pairs of sides are in proportion, then the triangles are similar
Side Splitter
If a line is parallel to one side of a triangle and intersects the other two sides, it divides those sides proportionally
Side Splitter Corollary
If three parallel lines intersect two transversals, they divide the transversals proportionally
Theorem 7.4
If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the other two sides