side - side - side (sss):, If the corresponding side lengths, of two triangles are proportional,, then two triangles are similar., side - angle - side (sas):, If an angle of one triangle is congruent to, an angle of another triangle and the lengths of the sides including, these angles are proportional, then, two triangles are similar., angle - angle (aa):, If two angles of one triangle are , congruent to two angles of another triangle,, then the two triangles are similar..

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