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)
• 0 units
• 10 units
• 4 units
• There is not enough information to measure the line segment.
To find the length of the line segment after the translation, we need to find the distance between the two points of the translated line segment.
After translating 3 units up, the endpoint (6, 3) becomes (6, 3+3) = (6, 6).
After translating 4 units to the right, the endpoint (6, 7) becomes (6+4, 7) = (10, 7).
Now we can find the distance between the two points:
d = √((x2 - x1)^2 + (y2 - y1)^2)
= √((10 - 6)^2 + (7 - 6)^2)
= √(4^2 + 1^2)
= √(16 + 1)
= √17
Therefore, the length of the line segment after the translation is √17 units.