![]() We say that the two triangles are congruent if the three sides of the one triangle and the three sides of another triangle are congruent to each other. It is one of the simplest postulates to check the congruency of the triangles. Don’t just cram it and apply without actually noticing what kind of triangle is given and what is asked in question. Also check whether some condition to use a specific postulate is given or not.If two triangles are congruent, if I say that triangle abc and triangle def are congruent then that means that all of their corresponding parts are also congruent which means a and d will be congruent angle b and angle e will be congruent, angle c and angle f will be congruent. ' SAS ' is when we know two sides and the angle between them. And then we can talk about the sides, de will be congruent to ab, bc would be congruent to ef and df would be congruent to ac. If you have a second triangle that also has side lengths 5 and 10 with a 30 degree angle in between, then by the SAS Postulate we know that the two. So this is a whole work going on here there's 6 different parts of these two triangles that could be congruent. Do we always need to know that those 3 angles and those three sides are congruent? And the answer is no. There are a couple of shortcuts and we're going to talk about two. But what do side side side mean? It means if all you know is the 3 sides of one triangle are congruent and corresponding to the 3 sides of another triangle, then yes those two triangles must be congruent. The second shortcut that we're going to talk about is side angle side. Side angle side means if you have a side and an included angle, which means if I said side de and side df the included angle would be angle d so it's the angle that's formed by those two sides then here you can also say those two triangles must be congruent.
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