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
4 units
4 units
10 units
10 units
0 units
0 units
There is not enough information to measure the line segment.
To find the length of the line segment after the translation, we can use the distance formula.
The distance formula is given by: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given endpoints (6, 3) and (6, 7), we can calculate the length of the original line segment as follows:
d = sqrt((6 - 6)^2 + (7 - 3)^2)
= sqrt(0 + 16)
= sqrt(16)
= 4 units
After the translation of 3 units up and 4 units to the right, the line segment will remain the same length. Therefore, the length of the line segment after the translation is 4 units.
Thus, the correct answer is:
4 units