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
10 units
10 units
4 units
4 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 = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the endpoints of the line segment after the translation would be:
Endpoint 1: (6 + 4, 3 + 3) = (10, 6)
Endpoint 2: (6 + 4, 7 + 3) = (10, 10)
Using the distance formula:
d = √((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.
The correct answer is "4 units".