If the three angles of one triangle are congruent to three angles of another triangle, then the two triangles are similar
SSSSimilarityTheorem
Two triangles are similar if the corresponding sides of two triangles are in proportion
SASSimilarityTheorem
Two triangles are similar if an angle of one triangle is congruent to an angle of another triangle and the corresponding sides including those angles are in proportion
TriangleAngle-BisectorTheorem
If a segment bisects an angle of a triangle, then it divides the opposite side into segments proportional to the other two sides
TriangleProportionalityTheorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally
RightTriangleSimilarityTheorem (RTST)
If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other
PythagoreanTheorem
The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs