Which triangle congruence criterion uses two angles and the included side to prove triangles congruent?

Prepare for your Leaving Certificate Mathematics exam with a comprehensive practice test featuring key definitions. Use flashcards, multiple choice questions, and detailed explanations to ensure success and mastery of fundamental math concepts.

Multiple Choice

Which triangle congruence criterion uses two angles and the included side to prove triangles congruent?

The key idea is that two angles together with the side between them lock a triangle’s shape and size uniquely. In the ASA criterion, if two angles of one triangle are equal to two angles of another triangle and the side that lies between those two angles is also equal in length to the corresponding side, then the triangles are congruent. Knowing two angles fixes the third angle, so the triangles have the same shape; the included side fixes the overall size, leaving no freedom, which guarantees congruence.

This is different from SAS (two sides and the included angle), AAS (two angles and a non-included side), or HL (a right-triangle special case using the hypotenuse and a leg), so the combination that uses two angles and the included side is the ASA criterion.

Which triangle congruence criterion uses two angles and the included side to prove triangles congruent?

Prepare for your Leaving Certificate Mathematics exam with a comprehensive practice test featuring key definitions. Use flashcards, multiple choice questions, and detailed explanations to ensure success and mastery of fundamental math concepts.

Which triangle congruence criterion uses two angles and the included side to prove triangles congruent?

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