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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

6 units
6 units

1 unit
1 unit

11 units
11 units

5 units

1 answer

The length of a line segment does not change after a reflection.

To determine the length of the original line segment with endpoints (0, 5) and (6, 5), we can use the distance formula or simply observe the coordinates:

  1. Since both endpoints have the same y-coordinate (5), this line segment is horizontal.
  2. The distance between the x-coordinates of the endpoints (0 and 6) is calculated as follows: \[ \text{Length} = |x_2 - x_1| = |6 - 0| = 6 \text{ units.} \]

When this line segment is reflected across the x-axis, the new endpoints will be (0, -5) and (6, -5), but the length remains the same.

So, the length of the line segment after it is reflected across the x-axis will still be 6 units.

Thus, the correct response is: 6 units.