Find the other endpoint of the line segment with the given endpoint and midpoint: Endpoint - (1, 3) Midpoint - (0, 0)
To find the other endpoint of the line segment, we can use the midpoint formula which states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints.
Let the coordinates of the other endpoint be (x, y).
The midpoint formula can be written as:
(x1 + x2) / 2 = x
(y1 + y2) / 2 = y
We have the endpoint (1, 3) and the midpoint (0, 0), so we can substitute those values into the formula:
(1 + x) / 2 = 0
(3 + y) / 2 = 0
Solving these equations, we get:
1 + x = 0
x = -1
3 + y = 0
y = -3
Therefore, the other endpoint of the line segment is (-1, -3).