A Line segment is translated 3 units down and 1 unit to the left. One of the end points after the translation is (5,8) what was this point before the translation?

To find the original point before the translation, we need to reverse the direction of the translation.

If the line segment is translated 3 units down, we need to move it 3 units up.
If it is translated 1 unit to the left, we need to move it 1 unit to the right.

Therefore, we need to move the point (5,8) 3 units up and 1 unit to the right.

Moving 3 units up means subtracting 3 from the y-coordinate:

8 - 3 = 5

Moving 1 unit to the right means adding 1 to the x-coordinate:

5 + 1 = 6

So, the original point before the translation was (6,5).