Question
(0,5) and (6,5) reflected across x axis how long will it be
Answers
GPT-4o mini
To find the length of the line segment between the reflections of the points \((0, 5)\) and \((6, 5)\) across the x-axis, we first reflect each point.
1. **Reflecting the points across the x-axis**:
- The reflection of \((0, 5)\) across the x-axis is \((0, -5)\).
- The reflection of \((6, 5)\) across the x-axis is \((6, -5)\).
2. **Finding the distance between the reflected points**:
- We need to calculate the distance between the points \((0, -5)\) and \((6, -5)\).
- Since they have the same y-coordinate, we can find the distance using only their x-coordinates:
\[
\text{Distance} = |x_2 - x_1| = |6 - 0| = 6.
\]
Therefore, the length of the line segment between the reflected points is \(6\) units.
1. **Reflecting the points across the x-axis**:
- The reflection of \((0, 5)\) across the x-axis is \((0, -5)\).
- The reflection of \((6, 5)\) across the x-axis is \((6, -5)\).
2. **Finding the distance between the reflected points**:
- We need to calculate the distance between the points \((0, -5)\) and \((6, -5)\).
- Since they have the same y-coordinate, we can find the distance using only their x-coordinates:
\[
\text{Distance} = |x_2 - x_1| = |6 - 0| = 6.
\]
Therefore, the length of the line segment between the reflected points is \(6\) units.