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
0 units
0 units
There is not enough information to measure the line segment.
There is not enough information to measure the line segment.
10 units
10 units
4 units
To translate the line segment 3 units up and 4 units to the right, we add 3 to the y-coordinates and 4 to the x-coordinates of the endpoints.
For the first endpoint (6, 3), the translated coordinates would be (6+4, 3+3) = (10, 6).
For the second endpoint (6, 7), the translated coordinates would be (6+4, 7+3) = (10, 10).
The length of the line segment after the translation can be found using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Distance = √[(10-10)^2 + (10-6)^2]
Distance = √[0 + 16]
Distance = √16
Distance = 4 units
Therefore, the line segment is 4 units long after the translation.