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
4 units
4 units
There is not enough information to measure the line segment.
There is not enough information to measure the line segment.
10 units
To find the length of the line segment after the translation, we need to find the distance between the translated endpoints.
The endpoints after the translation would be (6+4, 3+3) = (10, 6) and (6+4, 7+3) = (10, 10).
Using the distance formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(10 - 10)^2 + (10 - 6)^2]
= √[0 + 16]
= √16
= 4 units
Therefore, the length of the line segment after the translation is 4 units. Answer choice: 4 units