When a line segment is reflected across the x-axis, the y-coordinates of the endpoints are negated.
The original line segment has endpoints (0, 5) and (6, 5).
After reflecting across the x-axis, the y-coordinate of the first endpoint becomes -5, and the y-coordinate of the second endpoint also becomes -5.
The length of the reflected line segment can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates (-5, 0) and (-5, 6) as the new endpoints of the reflected line segment:
d = √((-5 - (-5))^2 + (0 - 6)^2)
= √(0^2 + (-6)^2)
= √(0 + 36)
= √36
= 6
Therefore, the length of the reflected line segment is 6 units.
The correct answer is 6 units.
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)
• 6 units
• 11 units
• 1 unit
• 5 units
1 answer