Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $( - 1 , - 1 )$, endpoint $( 3,1 )$
A) $( 11,5 )$
B) $( - 5,3 )$
C) $( - 5 , - 3 )$
D) $( - 1 , - 7 )$

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint $(-1, -1)$ and one endpoint $(3, 1)$, we solve for the unknown endpoint $(x_2, y_2)$: $(-1, -1) = \left(\frac{3 + x_2}{2}, \frac{1 + y_2}{2}\right)$. Solving these equations gives $x_2 = -5$ and $y_2 = -3$, so the coordinates are $(-5, -3)$.

Find the Coordinates of the Other Endpoint of the Segment (−1,−1)( - 1 , - 1 )(−1,−1)

Find the Coordinates of the Other Endpoint of the Segment $( - 1 , - 1 )$