triangle xyz is reflected across the $y$-axis, and $x = (4, -5)$. what are the coordinates of $x$?

$(-5, 4)$
$(-4, -5)$
$(4, 5)$
$(-4, 5)$

Question

triangle xyz is reflected across the $y$-axis, and $x = (4, -5)$. what are the coordinates of $x$?

$(-5, 4)$
$(-4, -5)$
$(4, 5)$
$(-4, 5)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Reflection Across Axes" ], "new_concepts": [], "current_concepts": [ "Reflection Across Axes", "Coordinate Transformations" ] } ## Identify the given point and transformation The given point is $X = (4, -5)$. The transformation is a reflection across the $y$-axis. ## Apply the reflection rule A reflection across the $y$-axis maps a point $(x, y)$ to $(-x, y)$. ## Calculate the coordinates of the image $$ X' = (-4, -5) $$

(-5, 4)

(-4, -5)

(4, 5)

(-4, 5)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Reflection Across Axes" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given point and transformation

Apply the reflection rule

Calculate the coordinates of the image

Answer: