Question

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)
• 6 units
• 11 units
• 5 units
• 1 unit

Answer 1

The length of a line segment is determined by the distance between its endpoints.

In this case, the two endpoints are (0, 5) and (6, 5). The y-coordinate of both endpoints is 5.

When the line segment is reflected across the x-axis, the y-coordinates of the endpoints will be negated (multiplied by -1).

So, the new endpoints will be (0, -5) and (6, -5).

To find the length of the reflected line segment, we need to calculate the distance between these two points.

Using the distance formula, d = √((x2 - x1)^2 + (y2 - y1)^2):

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

Therefore, after the line segment is reflected across the x-axis, it will still be 6 units long.

So, the correct answer is:
• 6 units