a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1inch. describe the dimensions of carton of the carton using unit cubes.

The points which are reflections of each other across the y-axis are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)

What is reflection?

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given are some points, (–7, –3) and (7, –3) (–5, 4) and (5, –4) (1, –8) and (1, 8) (–3, 5) and (5, –3)

We need to find which one of them are reflections of each other across the y-axis,

We know that, rule of reflection over y-axis,

(x, y) = (-x, y)

Therefore, from the given  points, the points that are following the rule of reflection over y-axis, are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)

In both of these points, the x-coordinate is changing its sign.

Hence, the points which are reflections of each other across the y-axis are (–7, –3) → (7, –3) and (–5, 4) → (5, –4)

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Rule for reflecting over the y-axis: P(x, y)--->P'(-x, y), so the answer is (–7, –3) and (7, –3). You might think the answer would be (–5, 4) and (5, –4) but it is not because (–5, 4) reflected across the y-axis is (5, -4).