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...Excerpt from introduction to geometry aops inc www artofproblemsolving com contents howtousethisbook iii acknowledgements vii what sinaname whynamesandsymbols points lines and planes roundandround construction copy a segment theburdenofproof summary angles whatisanangle measuringangles straight vertical parallel anglesinatriangle exterior revisited congruenttriangles ssscongruence sascongruence ix copyrighted material asaandaascongruence ssanot necessarilycongruence isosceles equilateral triangles triangle perpendicular bisector perimeterandarea perimeter area samebase samealtitude similartriangles whatissimilarity aasimilarity sassimilarity ssssimilarity usingsimilarity in problems parallels righttriangles pythagoreantheorem twospecialrighttriangles pythagoreantriples congruenceandsimilarityrevisited heron sformula...