Question

A point at (-85, 40) is reflected over the x-axis.
What are the coordinates of the reflected point?
Enter your answer by filling in the boxes.
(D)
13
3.15 Unit Test: Area - Part 1
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Answer 1

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.