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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Triangle Congruence Correspondence", "Corresponding Parts of Congruent Triangles" ], "new_concepts": [], "current_concepts": [ "Triangle Congruence Correspondence", "Corresponding Parts of Congruent Triangles" ] } ## Identify corresponding parts of congruent triangles Using the *Triangle Congruence Correspondence* knowledge point $$ \Delta ABC \cong \Delta XYZ \implies AB = XY, \quad BC = YZ, \quad AC = XZ $$ ## Determine the length of side YZ Using the *Corresponding Parts of Congruent Triangles* knowledge point $$ \begin{aligned} &YZ = BC\ &\text{Given: } AB = 5, \quad AC = 6\ &\text{Since } BC \text{ is not given, } YZ \text{ cannot be determined.} \end{aligned} $$

6

3

9

5

Impossible to determine.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Corresponding Parts of Congruent Triangles" ] }

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Identify corresponding parts of congruent triangles

Determine the length of side YZ

Answer: