Demonstrate the translation of a line segment of 3 units to the left and 5 units down if the endpoints of the line segment are (−2, 7) and (0, 3).(1 point)

Answer 1

To translate a line segment 3 units to the left and 5 units down, you need to subtract 3 from the x-coordinates of the endpoints and subtract 5 from the y-coordinates of the endpoints.

The original endpoint A is (-2, 7) and the translated endpoint A' will be:

x-coordinate of A' = x-coordinate of A - 3 = -2 - 3 = -5
y-coordinate of A' = y-coordinate of A - 5 = 7 - 5 = 2

So the translated endpoint A' is (-5, 2).

Similarly, the original endpoint B is (0, 3) and the translated endpoint B' will be:

x-coordinate of B' = x-coordinate of B - 3 = 0 - 3 = -3
y-coordinate of B' = y-coordinate of B - 5 = 3 - 5 = -2

So the translated endpoint B' is (-3, -2).

Therefore, the translated line segment with endpoints A' (-5, 2) and B' (-3, -2) represents the translation of 3 units to the left and 5 units down from the original line segment with endpoints A (-2, 7) and B (0, 3).