Which Triangle Congruence Theorem uses two sides and the included angle?

Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

The Triangle Congruence Theorem that utilizes two sides and the included angle is the Side-Angle-Side (SAS) theorem. According to this theorem, if two sides of a triangle and the angle formed between them (the included angle) are known, then the triangle is congruent to another triangle with the same two sides and included angle.

This is significant because it allows us to determine the exact shape and size of a triangle based solely on these three elements. The relationship established by SAS demonstrates that if two triangles share two sides of the same length and the angle between those sides is also equal, the triangles must be congruent. Thus, the correct answer to your question is the SAS theorem.

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