Question

△klm has coordinates k(4, -2), l(6, -1), and m(5, 5). what would be the coordinates of the vertices of the image after a reflection in the x - axis?

a) k(-4, -2), l(-6, -1), and m(-5, 5)
b) k(-4, 2), l(-6, -1), and m(-5, -5)
c) k(4, 2), l(6, 1), and m(5, -5)
d) k(-2, 4), l(-1, 6), and m(5, 5)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to point K

For point $K(4,-2)$, after reflection over the $x - axis$, $K'=(4,-(-2))=(4,2)$.

Step3: Apply rule to point L

For point $L(6,-1)$, after reflection over the $x - axis$, $L'=(6,-(-1))=(6,1)$.

Step4: Apply rule to point M

For point $M(5,5)$, after reflection over the $x - axis$, $M'=(5,-5)$.

Answer:

C. $K'(4, 2), L'(6, 1),$ and $M'(5, -5)$