Question

triangle jkl has coordinates j(2, -5), k(-1, -3), and l(-4, 5). determine the coordinates of the vertices of the image after a reflection in the x - axis.
a) j(2, 5), k(-1, 3), and l(-4, -5)
b) j(-2, 5), k(1, 3), and l(4, -5)
c) j(-2, -5), k(1, -3), and l(4, 5)
d) j(2, 5), k(-1, 3), and l(4, -5)
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Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point J

For point $J(2,-5)$, after reflection in the $x - axis$, we have $(2,-5)\to(2,5)$.

Step3: Apply rule to point K

For point $K(-1,-3)$, after reflection in the $x - axis$, we have $(-1,-3)\to(-1,3)$.

Step4: Apply rule to point L

For point $L(-4,5)$, after reflection in the $x - axis$, we have $(-4,5)\to(-4,-5)$.

Answer:

A. $J(2,5), K(-1,3),$ and $L(-4,-5)$