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)
Responses
There is not enough information to measure the line segment.
There is not enough information to measure the line segment.
4 units
4 units
0 units
0 units
10 units
To find the length of the line segment after the translation, we need to find the distance between the translated endpoints.
After being translated 3 units up and 4 units to the right, the endpoints become (6+4, 3+3) = (10, 6) and (6+4, 7+3) = (10, 10).
Now we can find the distance between these points using the distance formula:
√[(10-10)^2 + (10-6)^2] = √[(0)^2 + (4)^2] = √(0 + 16) = √16 = 4
Therefore, the length of the line segment after the translation is 4 units.