When the lengths of the sides and angles of two triangles are the same, we say that the triangles are congruent. If the lengths of the sides of two triangles are the same, we say that they are congruent. There are 5 ways to show that two triangles are the same shape. These are SSS (side side side), SAS (side angle side), ASA (angle side angle), AAS (angle angle side), and RHS (right hand side) (Right-angle Hypotenuse Side).