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

4 units
4 units

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

Answer 1

To find the length of a line segment, we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

For the initial line segment with endpoints (6, 3) and (6, 7), the length is:

distance = √((6 - 6)^2 + (7 - 3)^2) = √(0 + 16) = √16 = 4

After the translation, the new endpoints would be (6 + 4, 3 + 3) = (10, 6) and (6 + 4, 7 + 3) = (10, 10).

To find the length of the translated line segment, we use the new endpoints:

distance = √((10 - 10)^2 + (10 - 6)^2) = √(0 + 16) = √16 = 4

So, the length of the line segment after the translation is also 4 units.