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Question
puntos reflejados sobre un eje
puntuación: 0/10 penalización: ninguna
pregunta
punto yose encuentra en $(-5, -2)$ en el plano de coordenadas. punto yose refleja sobre el $y$-eje para crear punto $yo$. ¿qué par ordenado describe la ubicación de $yo$?
respuesta intento 1 de 2
$yo\left(\square, \square\
ight)$
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Step1: Recall reflection over y - axis rule
When a point \((x,y)\) is reflected over the \(y\) - axis, the rule for the reflection is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \(P=(x,y)\), its reflection over the \(y\) - axis \(P'\) is given by \(P' = (-x,y)\).
Step2: Apply the rule to the given point
The given point is \(Yose=(- 5,-2)\). Here, \(x=-5\) and \(y = - 2\). When we reflect this point over the \(y\) - axis, we change the sign of the \(x\) - coordinate. So the new \(x\) - coordinate is \(-(-5)=5\) and the \(y\) - coordinate remains \(-2\).
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\((5,-2)\)