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
When a line segment is reflected across the x-axis, its y-coordinates change signs while the x-coordinates remain the same.
The original line segment has endpoints (0, 5) and (6, 5).
After reflecting it across the x-axis, the y-coordinate of the first endpoint becomes -5, and the y-coordinate of the second endpoint also becomes -5.
The x-coordinates remain the same, so the reflected line segment has endpoints (0, -5) and (6, -5).
To find the length of this reflected line segment, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
For this line segment, substituting the coordinates, we get:
Distance = √((6 - 0)^2 + (-5 - (-5))^2)
Distance = √(36 + 0)
Distance = √36
Distance = 6
After reflecting the line segment across the x-axis, it will still be 6 units long.