For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-$\mathrm { P } ( - \sqrt { 10 } , 1 ) , \mathrm { Q } ( 0 , \sqrt { 5 } )$
A) $\left( \frac { - \sqrt { 10 } + \sqrt { 5 } } { 2 } , \frac { 1 } { 2 } \right)$
B) $\left( - \frac { \sqrt { 10 } } { 2 } , \frac { 1 + \sqrt { 5 } } { 2 } \right)$
C) $( - \sqrt { 10 } , 1 + \sqrt { 5 } )$
D) $\left( \frac { \sqrt { 10 } } { 2 } , \frac { 1 - \sqrt { 5 } } { 2 } \right)$

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 $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$. Substituting $P(-\sqrt{10}, 1)$ and $Q(0, \sqrt{5})$ into this formula gives the midpoint as $\left( -\frac{\sqrt{10}}{2}, \frac{1 + \sqrt{5}}{2} \right)$.

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