If a line segment with endpoints (6, 3) and (6, 7) is translated 3 units up and 4 units to the right, how long is the line segment after the translation?(1 point)Responses0 units0 unitsThere is not enough information to measure the line segment.There is not enough information to measure the line segment.4 units4 units10 units
To find the length of the line segment after the translation, we need to find the distance between the translated endpoints.
After translating 3 units up and 4 units to the right, the new endpoints will be (6 + 4, 3 + 3) and (6 + 4, 7 + 3), which simplify to (10, 6) and (10, 10).
To find the distance between these two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
d = √((10 - 10)^2 + (10 - 6)^2)
d = √(0^2 + 4^2)
d = √16
d = 4
Therefore, the length of the line segment after the translation is 4 units.