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We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles Explore the definition and theorems of congruent triangles In this lesson, we will consider the four rules to prove triangle congruence

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They are called the sss rule, sas rule, asa rule and aas rule. (all 3 sets of corresponding sides are congruent and all 3 sets of corresponding angles are congruent) Two triangles are said to be congruent, if they have the same shape and same size

Following are the triangle congruence postulates and theorems

Learn more about this interesting concept of triangle congruence theorem, the 5 criteria, and solve a few examples. Congruent triangles are triangles in which their corresponding sides and their corresponding angles are equal They are mirror images of each other Learn about various congruency conditions, solved examples and faqs in this article.

When triangles are congruent, six facts are always true The good news is that when proving triangles congruent, it is not necessary to prove all six facts to show congruency There are certain ordered combinations of these facts that are sufficient to prove triangles congruent. A complete guide to triangle congruence theorems

Sss, sas, asa, aas, and hl

Includes diagrams, decision tables, examples, common mistakes, and help with geometry homework. Six pairs of corresponding parts of 2 triangles are equal