Question

Midpoint (9, -9), endpoint (11, 0) what’s the other endpoint? Use the midpoint formula, type as an ordered pair.

a) (7, -18)
b) (13, -18)
c) (7, 9)
d) (13, 9)

Answer 1

To find the other endpoint of a line segment with a known midpoint and endpoint, use the midpoint formula to establish a system of equations. Solving these equations gives the coordinates of the missing endpoint, which is (7, -18) in this case.

Step-by-step explanation:

To find the other endpoint of a line segment when you are given one endpoint and the midpoint, you can use the midpoint formula. The midpoint formula states that the midpoint M (x, y) can be found from the endpoints (x1, y1) and (x2, y2) using the formulas: Mx = (x1 + x2) / 2, My = (y1 + y2) / 2. Given the midpoint M (9, -9) and one endpoint (11, 0), we can find the other endpoint (x2, y2) by setting up the following system of equations: 9 = (11 + x2) / 2, -9 = (0 + y2) / 2. Solving these equations gives us: x2 = (9 * 2) - 11 = 7, y2 = (-9 * 2) = -18. Therefore, the other endpoint is (7, -18).