Question

A line segment is translated 3 units down and 1 unit to the left. One of the endpoints after the translation is (5, 8)
. What was this point before the translation?(1 point)
(____)

Answer 1

To find the original coordinates of the endpoint before the translation, we need to reverse the translation process.

The line segment was translated 3 units down and 1 unit to the left. Thus, to find the original point, we need to do the opposite:

1. Move 3 units up (to counteract the 3 units down).
2. Move 1 unit to the right (to counteract the 1 unit to the left).

Starting with the coordinates (5, 8):

1. Moving up 3 units: \(8 + 3 = 11\)
2. Moving right 1 unit: \(5 + 1 = 6\)

So the original point before the translation is \((6, 11)\).

Thus, the answer is:

(6, 11)