Question

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

Endpoint 1: (-2, 7)
To move 3 units to the left, subtract 3 from the x-coordinate:
New x-coordinate = -2 - 3 = -5
To move 5 units down, subtract 5 from the y-coordinate:
New y-coordinate = 7 - 5 = 2
Thus, the new coordinates for endpoint 1 are (-5, 2).

Endpoint 2: (0, 3)
To move 3 units to the left, subtract 3 from the x-coordinate:
New x-coordinate = 0 - 3 = -3
To move 5 units down, subtract 5 from the y-coordinate:
New y-coordinate = 3 - 5 = -2
Thus, the new coordinates for endpoint 2 are (-3, -2).

Therefore, the new endpoints for the translated line segment are (-5, 2) and (-3, -2).