The SSS congruence postulate states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, the triangles themselves are congruent. Triangles are congruent if, when one is superimposed on another, they match.
Several ways exist to prove triangles congruent. Aside from the SSS (or side-side-side) method, there are the SAS (side-angle-side), ASA (angle-side-angle), AAS (angle-angle-side) and HL (hypotenuse-leg) postulates. If triangles are congruent by any one of these, they are congruent. Congruent triangles have the same shape and size, though it is possible for one to be a mirror image of the other or rotated in some other way.
Learn MoreWhile there are several main types of classifications, triangles are typically classified by the measure of their interior angles or the number of equal sides. Each of these classifications has three types of triangles.
Full Answer >Several types of triangles exist, including scalene, isosceles, equilateral, right, obtuse and acute. Triangles are categorized according to their sides, angles or a combination of both.
Full Answer >In an octagon, there are six triangles formed when diagonals are drawn from each vertex. An octagon is a figure that consists of eight straight sides, and it can be either regular or irregular polygons. While irregular octagons do not have sides of equal length, regular octagons do.
Full Answer >Using each edge of the hexagon as one of the bases of a triangle, only six triangles can be inscribed within a regular hexagon. A new vertex should be added at the midpoint of the hexagon to create the remaining triangles, which will share this new vertex.
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