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)

Answer 1

The y-coordinate of both endpoints is 5. When the line segment is reflected across the x-axis, the y-coordinate of each point will be negated. Therefore, the reflected line segment will have endpoints (0, -5) and (6, -5).

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

d = √((x2 - x1)^2 + (y2 - y1)^2)

Using the coordinates of the endpoints, we have:

d = √((6 - 0)^2 + (-5 - (-5))^2)

= √(6^2 + 0^2)

= √(36)

= 6

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