a line segment has endpoints (0,5) and (6,5). after the line segment is reflected across the z-axis, how long will it be

Answer 1

When a line segment is reflected across the z-axis, the x-coordinates of the endpoints change their sign while the y-coordinates remain the same.

Given that the line segment has endpoints (0,5) and (6,5), the reflection across the z-axis will result in endpoints (-0,5) and (-6,5).

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

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Using the endpoints (-0,5) and (-6,5), we substitute the values into the distance formula:

Distance = √[(-6 - -0)^2 + (5 - 5)^2]
= √[(-6)^2 + 0^2]
= √[36 + 0]
= √36
= 6

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