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Side-Side-Side similarity theorem
corresponding sides have equal ratios
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Side-Angle-Side (SAS) similarity theorem
If two sides of two triangles are proportional and the angle in between them are congruent, then the two triangles are similar
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AA similarity theorem
Two triangles have at least two pairs of congruent angles
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Congruent parts of parallel lines
If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments som every transversal
Note 
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