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)Responses6 units6 units 5 units 5 units1 unit1 unit11 units11 units
When the line segment is reflected across the x-axis, the y-coordinates of the endpoints will change sign while the x-coordinates remain the same.
The original endpoints are (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 of the reflected line segment, we can use the distance formula:
d = √((x2-x1)^2 + (y2-y1)^2)
Using the coordinates of the reflected endpoints, we have:
d = √((6-0)^2 + (-5-(-5))^2)
= √(36 + 0)
= √36
= 6
So, the length of the reflected line segment will be 6 units.