Question

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

Answer 1

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.