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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Coordinate Reflection", "Reflection Rules" ], "current_concepts": [ "Coordinate Reflection", "Reflection Rules", "Geometric Transformations" ] } ## Identify the coordinates of vertex P and the reflection rule $$ \begin{aligned} &P = (-7, -4) \ &\text{Reflection rule: } R_{x\text{-axis}}(x, y) = (x, -y) \end{aligned} $$ ## Apply the reflection rule to vertex P $$ \begin{aligned} &P' = (-7, -(-4)) \ &P' = (-7, 4) \end{aligned} $$ What are the coordinates of the image of vertex $P$ after a reflection of $P_{x\text{-axis}}(x, y)$? $P'$( -7 , 4 ) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Reflection" ] }

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Identify the coordinates of vertex P and the reflection rule

Apply the reflection rule to vertex P

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