Question

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) Responses 1 unit 1 unit 11 units 11 units 6 units 6 units 5 units

Answer 1

When a line segment is reflected across the x-axis, the y-coordinates of the points are negated.

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:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using the new endpoints, we have:

Distance = √((6 - 0)^2 + (-5 - (-5))^2)
= √(6^2 + 0^2)
= √(36 + 0)
= √36
= 6

Therefore, the length of the reflected line segment is 6 units.