Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint $\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)$, endpoint $( p , q )$
A) $( a , - w )$
B) $\left( \frac { 3 p + a } { 4 } , \frac { 3 q - w } { 4 } \right)$
C) $( a , w )$
D) $\left( \frac { a } { 2 } , - \frac { w } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint formula is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Given the midpoint $\left( \frac{p + a}{2}, \frac{q - w}{2} \right)$ and one endpoint $(p, q)$, solving for the other endpoint $(x_2, y_2)$ gives $(a, -w)$.

Find the Coordinates of the Other Endpoint of the Segment (p+a2,q−w2)\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)(2p+a​,2q−w​)

Find the Coordinates of the Other Endpoint of the Segment $\left( \frac { p + a } { 2 } , \frac { q - w } { 2 } \right)$