A line segment has end points 0,5 and 6,5 and the line segment is reflected across the r axis how long will it be
When a line segment is reflected across the r-axis, the y-coordinates of its endpoints change sign while the x-coordinates remain the same. Therefore, the new endpoints of the reflected line segment will be (0, -5) and (6, -5).
To find the length of the new line segment, we can use the distance formula:
√[(x₂ - x₁)² + (y₂ - y₁)²]
Using the coordinates of the new endpoints, we get:
√[(6 - 0)² + (-5 - (-5))²] = √[6² + 0] = √36 = 6
Therefore, the reflected line segment will have a length of 6 units.