SSS Congruence: If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

• A. Congruent
• B. Similar
• C. Not related
• D. The triangles have equal area

Answer: (A)

When three sides of one triangle match exactly with three sides of another triangle, the triangles are determined completely in size and shape. This is the SSS congruence idea: equal corresponding sides force a rigid match, so all corresponding angles must be equal as well. Therefore the two triangles are congruent—they have the same size and shape.

Because congruent triangles fit perfectly, their areas are equal, but equal area by itself wouldn’t guarantee congruence (different triangles can share the same area). Similar would require proportional sides, not necessarily equal, so it isn’t the definitive conclusion here. Not related isn’t plausible because the three equal sides really do lock the triangles into congruence.

So the best description is that the triangles are congruent.