On a coordinate plane, how are the locations of the points (-4 , 8) and (-4 , -8) related?
A.
reflection across the y-axis
B.
reflection across the x-axis
C.
reflection across both axes
D.
locations unrelated

Respuesta :

Answer:

A. reflection across the y-axiss

Step-by-step explanation:

Given:

The locations of the two points are (-4 , 8) and (-4 , -8).

To find:

The relation between two points.

From the given points (-4, 8) and (-4 , -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)[/tex]→[tex](-x,y)[/tex]

For (-4,8)

[tex](-4,8)[/tex]→ [tex](-4,-8)[/tex]

So, it is reflection across the y-axis.

Therefore, the correct option is A.

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