The length of a line segment does not change when it is reflected across an axis.
The original line segment has endpoints (0, 5) and (6, 5). To find its length, we use the distance formula, which for two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
In this case:
- \((x_1, y_1) = (0, 5)\)
- \((x_2, y_2) = (6, 5)\)
Calculating the length:
\[ d = \sqrt{(6 - 0)^2 + (5 - 5)^2} = \sqrt{6^2 + 0^2} = \sqrt{36} = 6 \text{ units} \]
After reflecting across the x-axis, the new endpoints become \((0, -5)\) and \((6, -5)\).
Now, the length of the line segment between these new points will also be:
\[ d = \sqrt{(6 - 0)^2 + (-5 - (-5))^2} = \sqrt{(6)^2 + (0)^2} = \sqrt{36} = 6 \text{ units} \]
Therefore, the length of the line segment after reflection is 6 units.
So the answer is: 6 units.