side – side – side
If three sides of one triangle are congruent to three sides of another triangle, then triangles are congruent.
Side-side-side (SSS) is a method of proving the congruence of two triangles. It states that if all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. This can be represented as follows:
Triangle ABC is congruent to triangle DEF if AB = DE, BC = EF, and AC = DF.
To prove SSS, you would typically start by stating the given information, such as the measures of the sides of each triangle. From there, you would apply the SSS postulate to conclude that the triangles are congruent. It’s important to note that SSS is just one of several methods for proving triangle congruence, and it may not always be applicable depending on the given information.
More Answers:
Mastering the AAS Condition: Proving Triangle Congruence in Geometry ProblemsProving Triangle Congruence with ASA Method: Step-by-Step Guide and Key Points
Using Side-Angle-Side (SAS) Criteria to Prove Congruence Between Two Triangles
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