![]() ![]() So together we will determine whether two triangles are congruent and begin to write two-column proofs using the ever famous CPCTC: Corresponding Parts of Congruent Triangles are Congruent. Knowing these four postulates, as Wyzant nicely states, and being able to apply them in the correct situations will help us tremendously throughout our study of geometry, especially with writing proofs. You must have at least one corresponding side, and you can’t spell anything offensive! We will explore both of these ideas within the video below, but it’s helpful to point out the common theme. ![]() Likewise, SSA, which spells a “bad word,” is also not an acceptable congruency postulate. Every single congruency postulate has at least one side length known!Īnd this means that AAA is not a congruency postulate for triangles. AAS(Angle-Angle-Side): Where two angles of any two triangles along with a side that is not included in between the angles, are equal to each other.As you will quickly see, these postulates are easy enough to identify and use, and most importantly there is a pattern to all of our congruency postulates.ASA(Angle-Side-Angle): Where two angles along with a side included in between the angles of any two triangles are equal to each other.SAS(Side-Angle-Side): Where two sides and an angle included in between the sides of two triangles are equal to each other.SSS(Side-Side-Side): Where three sides of two triangles are equal to each other.The 4 different triangle congruence theorems are: The rule helps in proving if the triangles are congruent or not. The SSS rule states that, if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. ![]() The three triangle similarity theorems are: What are the Three Triangle Similarity Theorems?
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