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)
(
5
,

8
)
. What was this point before the translation?(1 point)
()

Answer 1

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

The translation involved moving the point 3 units down and 1 unit to the left, which means:

1. To reverse moving "down" (subtracting from the y-coordinate), we should move "up" (add to the y-coordinate).
2. To reverse moving "left" (subtracting from the x-coordinate), we should move "right" (add to the x-coordinate).

Given that the new point after translation is (5, 8):

- To find the original x-coordinate:
\[
5 + 1 = 6
\]

- To find the original y-coordinate:
\[
8 + 3 = 11
\]

Thus, the original point before the translation was \((6, 11)\).