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
When the line segment is reflected across the x-axis, the y-coordinate of each point will change to its opposite value. Since the y-coordinate of both endpoints is 5, the y-coordinate of the reflected endpoints will be -5.
Therefore, the line segment will have endpoints (0,-5) and (6,-5) after being reflected across the x-axis.
To find the length of the line segment, we can use the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's calculate the distance:
distance = √[(6-0)^2 + (-5-(-5))^2]
= √[(6)^2 + (0)^2]
= √[36 + 0]
= √36
= 6
Thus, the length of the line segment after being reflected across the x-axis is 6 units.