If a line segment with endpoints ( 6, 3 ) and ( 6,7) is translated three units up and 4 units to the right how long is the line segment after the translation
To find the length of the line segment after the translation, we need to calculate the distance between the translated endpoints.
After the translation, the new endpoints will be (6 + 4, 3 + 3) = (10, 6) and (6 + 4, 7 + 3) = (10, 10).
Using the distance formula for two-dimensional space, we can find the length of the line segment:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
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.