Question

reflection over the x - axis of the point (3, 9)
answer
(-9, 3)
(9, 3)
(-9, -3)
(3, -9)

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the x - axis, the x - coordinate remains the same and the y - coordinate changes sign. The rule is $(x,y)\to(x, - y)$.

Step2: Apply rule to given point

For the point $(3,9)$, using the rule $(x,y)\to(x, - y)$ with $x = 3$ and $y=9$, we get $(3,9)\to(3,-9)$.

Answer:

$(3, - 9)$