Question

Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across the x-axis. Which point is on line segment J’K’? Group of answer choices (-1, -4) (-4, -4) (4, -4) (0, -3)

1. thachthao
(-1, -4)
Step-by-step explanation:
J maps onto (-3,-4) and K maps onto (3,-4).
The equation of J’K’ is y = -4, so the answer is (-1, -4). [Note that (-4, -4) doesn’t lie on the segment]

2. niczorrrr
The reflections of the two points J and K as described in the task content are; (-3, -4) and (3, -4) respectively.
Given that, the coordinates of J(-3, 4) and the coordinates of K(3, 4). Both points will be reflected across the x-axis.

### What is a reflection across the x-axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).
It follows from the convention that the reflection of a given point across the x-axis simply implies that the y-coordinate of such a point is multiplied by -1.
On this note, it follows that the points J and K gave as in the task content have their reflection across the x-axis are (-3, -4) and (3, -4) respectively.
Therefore, the reflections of the two points J and K as described in the task content are; (-3, -4) and (3, -4) respectively.