Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th

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zvonat [6]

2 years ago

3

Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th

e x-axis. Which point is on line segment J’K’? Group of answer choices (-1, -4) (-4, -4) (4, -4) (0, -3)

Mathematics

2 answers:

zavuch27 [327] · Answer 1 · 2024-01-28T05:33:59+03:00

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.

<h3>What is a reflection across the x-axis?</h3>

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.

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