Question

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

4 units
4 units

There is not enough information to measure the line segment.
There is not enough information to measure the line segment.

0 units
0 units

10 units

Answer 1

To find the length of the line segment after the translation, we need to find the distance between the translated endpoints.

The new coordinates of the first endpoint after the translation are (6+4, 3+3) = (10, 6).
The new coordinates of the second endpoint after the translation are (6+4, 7+3) = (10, 10).

To find the length, we calculate the distance between these two points:

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

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