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.
0 units
0 units
4 units
4 units
10 units
10 units
After the translation, the new endpoints of the line segment will be (6+4, 3+3) and (6+4, 7+3), which gives us (10, 6) and (10, 10).
To find the length of the line segment, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the endpoints, we get:
d = sqrt((10 - 10)^2 + (10 - 6)^2)
= sqrt(0 + 16)
= sqrt(16)
= 4 units
Therefore, the length of the line segment after the translation is 4 units.