Triangles in Basic Geometry (1512)

Who would have guessed that there are at least six different names that triangles can be classified into. This was one section of the geometry unit that came back to my memory very quickly. I think the most difficult for me to remember though is the scalene triangle, having no congruent sides.

Two triangles can be considered congruent when corresponding sides and interior angles are congruent.It is not always necessary to look at all three sides and three angles. Instead, you are able to use postulates to determine the triangles to be congruent or not.

Three triangle congruence postulates are The Side-Side-Side (SSS), The Side-Angle-Side (SAS), and The Angle-Side-Angle (ASA). The image below shows two triangles that are congruent. This can be proven using the postulate SSS. The three sides of one triangle are congruent to the three sides of the other triangle.