As long as one of the rules is true, it is sufficient to prove that the two triangles are congruent. The following diagrams show the Rules for Triangle Congruency: SSS, SAS, ASA, AAS and RHS. Take note that SSA is not sufficient for Triangle Congruency. Scroll down the page for more ...
With length of one side 7 cm & measure of one angle 60, we can construct many triangles: (for instance) From the above diagram of different triangles, you can observe that given triangle XYZ can be any of the following and we are not sure which diagram of Triangle ABC is congruent to ...