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Side-Side-Side similarity theorem
corresponding sides have equal ratios

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

AA similarity theorem
Two triangles have at least two pairs of congruent angles
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