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
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
10 units
4 units
To find the length of the line segment after the translation, we need to find the distance between the translated endpoints.
After a translation 3 units up and 4 units to the right, the new endpoints will be (6+4, 3+3) and (6+4, 7+3), which are (10, 6) and (10, 10) respectively.
The length of the line segment can be found using the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
In this case,
x₁ = 10
x₂ = 10
y₁ = 6
y₂ = 10
Distance = √[(10 - 10)² + (10 - 6)²]
Distance = √[0 + 16]
Distance = √16
Distance = 4 units
Therefore, the length of the line segment after the translation is 4 units.