On a coordinate plane, how are the locations of the points (-3 , -8) and (3 , -8) related? A. reflection across the x-axis B. reflection across both axes C. reflection across the y-axis D. locations unrelated

Respuesta :

Given:

The locations of the two points are (-3 , -8) and (3 , -8).

To find:

The relation between two points.

Solution:

From the given points (-3 , -8) and (3 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.

If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,

[tex](x,y)\to (-x,y)[/tex]

For (3,-8),

[tex](3,-8)\to (-3,-8)[/tex]

So, it is reflection across the y-axis.

Therefore, the correct option is C.

Answer:

reflection across the x-axis