#7 determine the location of the yellow dot when it is reflected over $y = -1$

#7) type in the x value of your answer here

#7) type in the y value of your answer here

Question

#7 determine the location of the yellow dot when it is reflected over $y = -1$

#7) type in the x value of your answer here

#7) type in the y value of your answer here

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Coordinate Reflection" ], "new_concepts": [ "Reflection Over Horizontal Line" ], "current_concepts": [ "Coordinate Reflection", "Reflection Over Horizontal Line" ] } ## Identify the coordinates of the yellow dot $$ (x, y) = (-2, -3) $$ ## Apply the reflection formula over $y = -1$ $$ \begin{aligned} x' &= x = -2 \ y' &= 2k - y = 2(-1) - (-3) = -2 + 3 = 1 \end{aligned} $$ ## State the final coordinates $$ (x', y') = (-2, 1) $$ ## Question 1 Type in the x value of your answer here: -2 ## Question 2 Type in the y value of your answer here: 1 { "elements": [ { "type": "point", "params": [[-2, -3]], "properties": { "name": "Original (-2, -3)", "size": 4, "color": "#F28A55", "withLabel": true } }, { "type": "line", "params": [[-10, -1], [10, -1]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "dash": 2, "name": "y = -1", "withLabel": true } }, { "type": "point", "params": [[-2, 1]], "properties": { "name": "Reflected (-2, 1)", "size": 4, "color": "#5583F2", "withLabel": true } } ], "timestamps": [0.5, 1.0, 1.5] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Reflection" ] }

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Question

Explanation:

Identify the coordinates of the yellow dot

Apply the reflection formula over \(y = -1\)

State the final coordinates

Answer:

Question 1

Question 2