#9 determine the location of c when the image is reflected over x = 1.
#9) type in the x value of the answer here *
#9) type in the y value of the answer here *

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{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "Reflection Over Vertical Line" ], "current_concepts": [ "Coordinate Reflection", "Reflection Over Vertical Line" ] } ## Identify the coordinates of point c $$ c = (-3, 3) $$ ## Apply the reflection formula over x = 1 $$ \begin{aligned} x' &= 2h - x \ x' &= 2(1) - (-3) = 5 \ y' &= y = 3 \end{aligned} $$ ## State the reflected coordinates of c' $$ c' = (5, 3) $$ ## Question 1 Type in the x value of the answer here: 5 ## Question 2 Type in the y value of the answer here: 3 { "elements": [ { "type": "line", "params": [[1, -10], [1, 10]], "properties": { "name": "x = 1", "strokeColor": "#F2557F", "strokeWidth": 2, "dash": 2, "withLabel": true } }, { "type": "polygon", "params": [[-3, 3], [-1, 3], [-1, 1], [-3, 1]], "properties": { "fillColor": "rgba(140, 85, 242, 0.3)", "strokeColor": "#8C55F2", "strokeWidth": 2 } }, { "type": "polygon", "params": [[5, 3], [3, 3], [3, 1], [5, 1]], "properties": { "fillColor": "rgba(85, 221, 242, 0.3)", "strokeColor": "#55DDF2", "strokeWidth": 2 } }, { "type": "point", "params": [[-3, 3]], "properties": { "name": "c(-3,3)", "color": "#8C55F2", "size": 4, "withLabel": true } }, { "type": "point", "params": [[5, 3]], "properties": { "name": "c'(5,3)", "color": "#55DDF2", "size": 4, "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Reflection Over Vertical Line" ] }

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Question

Explanation:

Identify the coordinates of point c

Apply the reflection formula over x = 1

State the reflected coordinates of c'

Answer:

Question 1

Question 2