what is the rule for the reflection?

$r_{\text{x-axis}}(x, y) \
ightarrow (-x, y)$
$r_{\text{y-axis}}(x, y) \
ightarrow (-x, y)$
$r_{\text{x-axis}}(x, y) \
ightarrow (x, -y)$
$r_{\text{y-axis}}(x, y) \
ightarrow (x, -y)$

Question

what is the rule for the reflection?

$r_{\text{x-axis}}(x, y) \
ightarrow (-x, y)$
$r_{\text{y-axis}}(x, y) \
ightarrow (-x, y)$
$r_{\text{x-axis}}(x, y) \
ightarrow (x, -y)$
$r_{\text{y-axis}}(x, y) \
ightarrow (x, -y)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Coordinate Reflections", "Pre-image Coordinates" ], "new_concepts": [ "Reflection Rules" ], "current_concepts": [ "Coordinate Reflections", "Pre-image Coordinates", "Reflection Rules" ] } ## Identify coordinates of pre-image and image points $$ \begin{aligned} L(-4, 2) & ightarrow L'(-4, -2) \ M(-5, 4) & ightarrow M'(-5, -4) \ N(-2, 3) & ightarrow N'(-2, -3) \end{aligned} $$ ## Determine the coordinate transformation rule $$ (x, y) ightarrow (x, -y) $$ ## Identify the geometric reflection axis $$ r_{\text{x-axis}}(x, y) ightarrow (x, -y) $$

$r_{\text{x-axis}}(x, y) ightarrow (-x, y)$

$r_{\text{y-axis}}(x, y) ightarrow (-x, y)$

$r_{\text{x-axis}}(x, y) ightarrow (x, -y)$

$r_{\text{y-axis}}(x, y) ightarrow (x, -y)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Coordinate Reflections" ] }

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QUESTION IMAGE

Question

Explanation:

Identify coordinates of pre-image and image points

Determine the coordinate transformation rule

Identify the geometric reflection axis

Answer: