Understanding Congruence of Triangles: The SSS Criterion Explained

SSS

SSS stands for Side-Side-Side, which is a criterion used to determine the congruence of two triangles

SSS stands for Side-Side-Side, which is a criterion used to determine the congruence of two triangles.

In order for two triangles to be congruent using the SSS criterion, all three pairs of corresponding sides of the triangles must be equal in length. This means that if we have two sides in one triangle that are equal in length to two sides in another triangle, and the corresponding third sides are also equal in length, then the two triangles are congruent.

To illustrate this concept, let’s consider an example:

Triangle ABC and triangle DEF.

Triangle ABC has side lengths AB = 4 cm, BC = 5 cm, and AC = 6 cm.
Triangle DEF has side lengths DE = 4 cm, EF = 5 cm, and DF = 6 cm.

In this case, all three pairs of corresponding sides are equal in length. AB is equal to DE, BC is equal to EF, and AC is equal to DF. Therefore, by the SSS criterion, triangle ABC and triangle DEF are congruent.

It is important to note that the order of the sides does not matter in the SSS criterion. In other words, if the sides of one triangle are in the order XY, YZ, ZX, and the sides of another triangle are in the order MN, NP, PM, as long as XY = MN, YZ = NP, and ZX = PM, the two triangles are congruent by the SSS criterion.

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