Align segment has endpoints (0, 5) and (6. 5) after the line segment is reflected across the x axis. How long will it be?
When a line segment is reflected across the x-axis, the y-coordinates of the endpoints are multiplied by -1.
The reflection of the segment with endpoints (0, 5) and (6, 5) across the x-axis has endpoints (0, -5) and (6, -5).
To find the length of the reflected segment, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have:
d = √((6 - 0)^2 + (-5 - (-5))^2)
d = √(6^2 + 0^2)
d = √36
d = 6
Therefore, the length of the reflected segment is 6 units.