A line segment has endpoints (0, 5) and (6, 5) After the line segment is reflected across the how long will it be? (point)
When a line segment is reflected across the y-axis, the x-coordinates of the endpoints will change sign while the y-coordinates remain the same.
The reflected endpoints will be (-0, 5) and (-6, 5).
To find the length of the reflected line segment, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of the reflected endpoints, we get:
d = √((-6 - 0)^2 + (5 - 5)^2)
= √((-6)^2 + 0^2)
= √(36 + 0)
= √36
= 6
So, the length of the reflected line segment will be 6 units.