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)

Question

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

Answer 1

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.