Question

Find the other endpoint of the line segment with the given endpoint and midpoint: Endpoint - (1, 3) Midpoint - (0, 0)

Answer 1

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).