Al line segment has endpoint (0,5) and (6,5). After the line segment is reflected across the x-axis, how long will it be?
When a line segment is reflected across the x-axis, its y-coordinates will change sign, while its x-coordinates remain the same. The original line segment has endpoints (0,5) and (6,5). Upon reflection, the endpoints will be (0,-5) and (6,-5).
Using the distance formula, we can find the length of the reflected line segment:
Length = √[(x2-x1)^2 + (y2-y1)^2]
Length = √[(6-0)^2 + (-5-(-5))^2]
Length = √[6^2 + 0^2]
Length = √(36)
Length = 6
Therefore, the length of the reflected line segment across the x-axis will be 6 units.