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SAS Similarity Theorem. This theorem states that if an angle of one triangle is congruent to an angle of another triangle and the sides including though angles are in proportion, then the triangles are similar.
For the theorem sometimes called Thales' theorem and pertaining to similar triangles, see Intercept theorem. Thales' theorem: if AC is a diameter, then the angle at B is a right angle.he theorem is named after Thales because he was said by ancient sources to have been the first to prove the theorem, using his own results that the base angles of an isosceles triangle are equal, and that the sum of angles in a triangle is equal to 180Â°.