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 translation?

Answer 1

To find the original point before the translation, we need to reverse the translation. The translation involves moving the point 3 units down and 1 unit to the left.

1. Move the point 3 units up: \[ y = 8 + 3 = 11 \]

2. Move the point 1 unit to the right: \[ x = 5 + 1 = 6 \]

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