Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (-6, 0), endpoint (-5, -5)
A) (-7, 5)
B) (5, -7)
C) (-3, -15)
D) (-7, -10)

Question

Quizplus · Accepted Answer

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$. Given the midpoint (-6, 0) and one endpoint (-5, -5), let the other endpoint be (x, y). Solving the equations $\frac{-5 + x}{2} = -6$ and $\frac{-5 + y}{2} = 0$ gives x = -7 and y = 5, so the other endpoint is (-7, 5).

Find the Coordinates of the Other Endpoint of the Segment