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l is the image of the point l after a reflection. l(5, 10) → l(-5, 10) …

Question

l is the image of the point l after a reflection. l(5, 10) → l(-5, 10) over which axis was point l reflected? x - axis y - axis

Explanation:

Step1: Recall reflection rules

When reflecting a point $(x,y)$ over the $x$-axis, the transformation is $(x,y)\to(x, - y)$. When reflecting over the $y$-axis, the transformation is $(x,y)\to(-x,y)$.

Step2: Analyze given points

The original point is $L(5,10)$ and the image is $L'(-5,10)$. Here, the $y$-coordinate remains the same ($y = 10$) and the $x$-coordinate changes sign ($x$ changes from $5$ to $- 5$).

Answer:

$y$-axis