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A point at (-85, 40) is reflected over the x-axis.
What are the coordinates of the reflected point?
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3.15 Unit Test: Area - Part 1
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Verified Answer :

GinnyAnswer

Certainly! Let's solve the problem of reflecting the given point \(\((-85, 40)\)\) over the x-axis.

1. Understanding the Reflection Over the X-Axis:
- When a point \(\((x, y)\)\) is reflected over the x-axis, its x-coordinate remains the same, while the y-coordinate changes its sign.
- Mathematically, if the original point is \(\((x, y)\)\), the reflected point will be \(\((x, -y)\)\).

2. Applying the Reflection Rule:
- The original point given is \(\((-85, 40)\)\).
- According to the reflection rule, the x-coordinate remains \(\(-85\)\) (unchanged).
- The y-coordinate changes from \(\(40\)\) to \(\(-40\)\).

3. Formulating the Reflected Point:
- Therefore, if the original point \(\((-85, 40)\)\) is reflected over the x-axis, the new coordinates will be \(\((-85, -40)\)\).

So, the coordinates of the reflected point are:
\(\[ (-85, -40) \]\)

This is the detailed solution for reflecting the given point over the x-axis.

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