A line segment has endpoints (0, 5) and (6, 5) . After the line segment is reflected across the x -axis, how long will it be?(1 point)
Responses
5 units
5 units
11 units
11 units
6 units
6 units
1 unit
To find the length of the line segment after it is reflected across the x-axis, we need to find the distance between the new endpoints.
The original line segment has endpoints (0, 5) and (6, 5). After reflecting across the x-axis, the new endpoints will be (0, -5) and (6, -5).
To find the length between these new endpoints, we can use the distance formula:
√((6-0)^2 + (-5-(-5))^2) = √(6^2 + 0) = √36 = 6
Therefore, the length of the line segment after it is reflected across the x-axis is 6 units. So, the answer is 6 units.