Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $( 3,1 )$, endpoint $( 2 , - 3 )$
A) $( 0 , - 11 )$
B) $( 10 , - 1 )$
C) $( 4,5 )$
D) $( 4 , - 7 )$

Question

Quizplus · Accepted Answer

The midpoint formula is $\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}$. Given the midpoint $(3,1)$ and one endpoint $(2,-3)$, let the other endpoint be $(x,y)$. So, $\frac{2 + x}{2} = 3$ and $\frac{-3 + y}{2} = 1$. Solving these equations gives $x = 4$ and $y = 5$, which corresponds to choice C $(4,5)$.

Find the Coordinates of the Other Endpoint of the Segment (3,1)( 3,1 )(3,1)

Find the Coordinates of the Other Endpoint of the Segment $( 3,1 )$