Question

A point is reflected across the x-axis the new point is (-7.5, 6) what is the difference between the two points

Answer 1

The y-coordinate of the original point is negative and the y-coordiinate of the new point is positive.

The transformation is:

`(-7.5, 6)` →
`(-7.5, -6)`

Explanation:

For this exercise it is important to remember the definition of "Reflection".

A Reflection is a transformation that consists in folding an figure over a line called "Line of reflection",

In tranformations, the original figure is called "Pre-image" and the figure obtained after the transdformation is called "Image".

Given a point
`(x,y)`, if this is reflected across the x-axis, the x-coordinate of the point does not change, but the sign of the y-coordinate is transformed into its opposite. Then:

`(x,y)` →
`(x,-y)`

So, given the new point:

`(-7.5, 6)`

You can determine that the original point is:

`(-7.5, -6)`