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5 Cards in this Set

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SSS Similarity Theorem
If three sides of one triangle are proportional to three sides of a second triangle, then the triangles are similar.
AA Similarity Theorem
If two angles of one triangle are congruent to two angles of anther, then the triangles are similar.
SAS Similarity Theorem
If, in two triangles, the ratios of two pairs of corresponding sides are equal and the included angles are congruent, then the triangles are similar.
Side-Splitting Theorem
If a line is parallel to a side of a triangle and intersects the other two sides in distinct points, it splits these sides into proportional segments.
Side-Splitting Converse Theorem
If al ine intersects line segment OP and line segment OQ in distinct points X and Y so that OX/XP = OY/YQ, then line XY is parallel to line PQ