Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (0, -5), endpoint (2, -4)
A) (6, -2)
B) (0, -8)
C) (-2, -6)
D) (-2, -3)

Question

Quizplus · Accepted Answer

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$. Given the midpoint (0, -5) and one endpoint (2, -4), we can solve for the other endpoint (x, y) by setting up equations: $0 = \frac{2 + x}{2}$ and $-5 = \frac{-4 + y}{2}$. Solving these gives x = -2 and y = -6, so the other endpoint is (-2, -6).

Find the Coordinates of the Other Endpoint of the Segment