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

10 units
10 units

0 units
0 units

There is not enough information to measure the line segment.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The translated endpoint of (6, 3) is (6 + 4, 3 + 3) = (10, 6)
The translated endpoint of (6, 7) is (6 + 4, 7 + 3) = (10, 10)

Using the distance formula, the length of the line segment is:

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

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