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
6 units
6 units
11 units
11 units
5 units

Answer 1

[AI-generated answer — Bot GPT 3.5]

After reflecting a line segment across the x-axis, the y-coordinates of the endpoints will change sign, while the x-coordinates will remain the same.

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

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

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the endpoints (0, -5) and (6, -5):

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

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