For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-$\mathrm { P } ( 7 \sqrt { 3 } , - \sqrt { 13 } ) , \mathrm { Q } ( - \sqrt { 3 } , 0 )$
A) $\left( 3 \sqrt { 3 } , - \frac { \sqrt { 13 } } { 2 } \right)$
B) $( - 3,13 )$
C) $\left( 3 \sqrt { 6 } , - \frac { \sqrt { 39 } } { 2 } \right)$
D) $\left( 4 \sqrt { 3 } , \frac { \sqrt { 13 } } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a segment with endpoints $P(x_1, y_1)$ and $Q(x_2, y_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. For $P(7\sqrt{3}, -\sqrt{13})$ and $Q(-\sqrt{3}, 0)$, the midpoint is $\left( \frac{7\sqrt{3} - \sqrt{3}}{2}, \frac{-\sqrt{13} + 0}{2} \right) = \left( 3\sqrt{3}, -\frac{\sqrt{13}}{2} \right)$.

For the Points P and Q, Find the Coordinates of the Midpoint