The SSS Congruence Criterion: Proving Triangle Congruence Using Side-Side-Side (SSS) Property

SSS

SSS stands for “Side-Side-Side,” which is a criterion used to prove congruence between two triangles in geometry

SSS stands for “Side-Side-Side,” which is a criterion used to prove congruence between two triangles in geometry. When we say that two triangles are congruent, it means that they have exactly the same shape and size.

According to the SSS congruence criterion, if the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent. This means that if we can show that the lengths of the corresponding sides of two triangles are equal, we can prove that the triangles are congruent.

To illustrate this, let’s consider two triangles, Triangle ABC and Triangle DEF. If we know that AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF, then we can conclude that Triangle ABC is congruent to Triangle DEF.

One important thing to note is that the order of the sides is crucial. In the SSS criterion, the corresponding sides must be in the same order for the triangles to be congruent. For example, if AB is congruent to DE, BC is congruent to EF, but AC is congruent to FE instead of DF, we cannot use the SSS criterion to prove congruence.

In summary, the SSS criterion is a useful tool in geometry to prove congruence between two triangles based on the equal lengths of their corresponding sides.

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