If a long segment with endpoints (6, 3) and (6, 7) our translated, three units up and four units to the right. How long is the line segment after the translation
A) 0 units
B) 10 units
C) there is not enough information to measure the line segment
D) 4 units
To find the length of the line segment after translation, we need to calculate the distance between the translated endpoints.
After translation, the new endpoint will be at (6+4, 3+3) = (10, 6).
Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((10 - 6)^2 + (6 - 3)^2)
d = sqrt(4^2 + 3^2)
d = sqrt(16 + 9)
d = sqrt(25)
d = 5
Therefore, the length of the line segment after the translation is 5 units.
Answer: The length of the line segment after the translation is D) 4 units.