Question

What does the SSS Congruence Theorem say?

Answer 1

The SSS Congruence Theorem, or Side-Side-Side Congruence Theorem, states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. In other words, if triangle \( ABC \) has sides \( a, b, \) and \( c \), and triangle \( DEF \) has sides \( d, e, \) and \( f \) such that \( a = d \), \( b = e \), and \( c = f \), then triangle \( ABC \) is congruent to triangle \( DEF \) (notation: \( \triangle ABC \cong \triangle DEF \)). This theorem is fundamental in triangle congruence and is often used in geometric proofs.