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)
The length of a line segment is given by the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the endpoints of the line segment are (0, 5) and (6, 5).
When the line segment is reflected across the x-axis, the y-coordinates will change signs. So, the new endpoints will be (0, -5) and (6, -5).
Applying the distance formula, we get:
d = √((6 - 0)^2 + (-5 - (-5))^2)
= √(6^2 + 0^2)
= √36
= 6
Therefore, the length of the line segment after reflection across the x-axis will be 6 units.