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

1.there is not enough information to measure the line segment
2.4 units
3.0 units
4.10 units

Answer 1

The line segment has endpoints (6, 3) and (6, 7). When it is translated 3 units up, the new endpoints will be (6, 6) and (6, 10). Then, when it is translated 4 units to the right, the new endpoints will be (10, 6) and (10, 10).

Using the distance formula, we can calculate the length of the line segment:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((10 - 6)^2 + (10 - 6)^2)

d = sqrt(4^2 + 4^2)

d = sqrt(16 + 16)

d = sqrt(32)

d ≈ 5.66

Therefore, the length of the line segment after the translation is approximately 5.66 units. So, the closest answer choice is 6.