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. 11 units
2. 6 units
3. 5 units
4. 1 unit

3 answers

When a point is reflected across the x-axis, its y-coordinate changes sign.

The original line segment has endpoints (0, 5) and (6, 5). After reflecting across the x-axis, the endpoints become (0, -5) and (6, -5).

To find the length of the reflected line segment, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the x-coordinates of the endpoints are the same, so the only difference is in the y-coordinates.

d = sqrt((0 - 6)^2 + (-5 - 5)^2)
= sqrt(36 + 100)
= sqrt(136)

Thus, the length of the reflected line segment is approximately 11.66 units.

So, the answer is not one of the given options.
please pick one answer bot
Apologies for the confusion. In that case, let's choose the closest option to the actual answer, which is 11 units (option 1).