Question

A line segment has endpoints (0, 5)
(
0
,

5
)
and (6, 5)
(
6
,

5
)
. After the line segment is reflected across the x
x
-axis, how long will it be?(1 point)
Responses

5 units
5 units

1 unit
1 unit

6 units
6 units

11 units

Answer 1

The length of a line segment is determined by the distance between its endpoints, regardless of its position in the coordinate plane.

The original endpoints of the line segment are (0, 5) and (6, 5). To find the length of the line segment, we can use the distance formula or simply note that the y-coordinates are the same (both are 5), indicating it is a horizontal line segment.

The length of the segment can be calculated as follows:

Length = \( x_2 - x_1 \) = \( 6 - 0 = 6 \) units.

When this line segment is reflected across the x-axis, the endpoints become (0, -5) and (6, -5). However, this reflection does not change the length of the line segment.

Therefore, the length of the line segment after reflection remains 6 units.

The correct response is:

**6 units**.