Side-Side-Side (SSS)
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
The side-side-side, or SSS, is one of the criteria a set of triangles must meet to be considered congruent. This criterion states that if all three sides of one triangle are equal in length to the three sides of another triangle, then the two triangles are congruent.
To prove that two triangles are congruent using the SSS criterion, we need to show that all three sides of one triangle are equal in length to the three sides of the other triangle. This can be done by measuring or calculating the lengths of the sides and comparing them. If all six sides are equal, then the two triangles are congruent.
Additionally, the SSS criterion can be applied in reverse to show that two triangles are not congruent. If at least one of the sides of one triangle is different in length than the corresponding side of the other triangle, then the two triangles are not congruent.
Overall, the SSS criterion is a useful tool for determining whether two triangles are congruent through the comparison of side length.
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