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

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

Answer 1

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