which of the following is not a valid triangle congruence theorem?

a. sss
b. asa
c. sas
d. ssa

Question

which of the following is not a valid triangle congruence theorem?

a. sss
b. asa
c. sas
d. ssa

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence Postulates", "SSA Congruence Invalidity" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence Postulates", "SSA Congruence Invalidity" ] } ## Evaluate standard triangle congruence postulates $$ \begin{aligned} &\text{SSS (Side-Side-Side) is a valid postulate.} \ &\text{ASA (Angle-Side-Angle) is a valid postulate.} \ &\text{SAS (Side-Angle-Side) is a valid postulate.} \end{aligned} $$ ## Evaluate SSA congruence validity $$ \begin{aligned} &\text{SSA (Side-Side-Angle) does not guarantee a unique triangle.} \ &\text{Therefore, SSA is not a valid triangle congruence theorem.} \end{aligned} $$

A. SSS

B. ASA

C. SAS

D. SSA

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Triangle Congruence Postulates" ] }

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Question

Explanation:

Evaluate standard triangle congruence postulates

Evaluate SSA congruence validity

Answer: