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)
5 units
• 6 units
0: 1 unit
• 11 units
To reflect a point or a line segment across the x-axis, we simply change the sign of the y-coordinate. In this case, the y-coordinate of both endpoints is 5.
When we reflect across the x-axis, the y-coordinate becomes -5.
So, the new endpoints after reflection are (0, -5) and (6, -5).
To find the length of the reflected line segment, we can use the distance formula:
√((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates (0, -5) and (6, -5), we have:
√((6 - 0)^2 + (-5 - (-5))^2)
Simplifying, we get:
√(6^2 + 0^2)
√(36 + 0)
√36
Therefore, the length of the reflected line segment is 6 units.