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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.
Figure 2 (Triangles in the Taxicab Plane can fail to obey the SAS (Side-Angle-Side) axiom of the Euclidean plane) Triangle AOC is a right isosceles triangle with the two legs having length 2 and hypotenuse 4, while triangle OBC is also a right isosceles triangle with legs of length 2 but with hypotenuse 2.