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
• There is not enough information to measure the line segment.
• 10 units
O 4 units
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, the endpoint (6, 3) becomes (6, 3 + 3) = (6, 6).
After being translated 4 units to the right, the endpoint (6, 7) becomes (6 + 4, 7) = (10, 7).
Now, we can find the distance between these two points using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
d = √((10 - 6)^2 + (7 - 6)^2)
d = √((4)^2 + (1)^2)
d = √(16 + 1)
d = √17
Therefore, the length of the line segment after the translation is √17, which is approximately 4.12 units.
So, the answer is not given in the options provided.