Side angle Side Theorem

In the previous post we have discussed about How to find sector of a circle and In today's session we are going to discuss about, Side angle Side Theorem SAS is one of rules of congruency. Before we know about it, let us quickly revise congruency of triangles. We are very much familiar with the smallest member of our polygon family, yes the triangles. They are the youngest member being formed with the minimum number of line segment. Now, as in a family there may be a number of members, and some of them may be alike in all aspects, so is with this member of polygon family. There may be an endless number of triangles that can be drawn in a plane. Of all the triangles so drawn, the triangles that are the same in all aspects are called congruent triangles. In simpler words, the triangles are said to be congruent to each other if all of their corresponding sides & angles are equal. Thus, to say in an easier way, the triangles, if fix one over the other exactly to give the appearance of being one, are termed as congruent triangles.
There are a few criterions to check whether the given triangles are congruent or not. One of these criterions is called the SAS criterion or rule of congruency of triangles. This rule states that given the sides & angles of any two triangles, if any two corresponding sides & the corresponding angles included between these equal sides are equal, then the two triangles are said to be congruent. The rule SAS is read in the same sequence to know the congruency; which means the corresponding side, then the corresponding angle carried by such side & finally the other side of such angle must be correspondingly equal. The easier way is to find out any one pair of corresponding angles in the two triangles that are equal & then find out whether their corresponding sides are also equal. If yes, the triangles are congruent else not.
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