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

0 units
0 units

10 units
10 units

There is not enough information to measure the line segment.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
9 months ago

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

After being translated 3 units up and 4 units to the right, the new endpoints will be:
Endpoint 1: (6 + 4, 3 + 3) = (10, 6)
Endpoint 2: (6 + 4, 7 + 3) = (10, 10)

Using the distance formula, we can find the length of the line segment:
Length = √[(10 - 10)^2 + (10 - 6)^2]
= √[0 + 16]
= √16
= 4 units

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