Find the midpoint of the segment PQ.
-$$\mathrm { P } ( 3 , - 5,4 ) , \mathrm { Q } ( 6,0,0 )$$
A) $\left( \frac { 9 } { 2 } , - \frac { 5 } { 2 } , 2 \right)$
B) $( 3,0,0 )$
C) $\left( \frac { 9 } { 2 } , - 5,0 \right)$
D) $\left( \frac { 3 } { 2 } , - \frac { 5 } { 2 } , 2 \right)$

Question

Quizplus · Accepted Answer

The midpoint of a segment with endpoints $P(x_1, y_1, z_1)$ and $Q(x_2, y_2, z_2)$ is given by $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right)$. For $P(3, -5, 4)$ and $Q(6, 0, 0)$, the midpoint is $\left( \frac{3 + 6}{2}, \frac{-5 + 0}{2}, \frac{4 + 0}{2} \right) = \left( \frac{9}{2}, -\frac{5}{2}, 2 \right)$.

Find the Midpoint of the Segment PQ P(3,−5,4),Q(6,0,0)\mathrm { P } ( 3 , - 5,4 ) , \mathrm { Q } ( 6,0,0 )P(3,−5,4),Q(6,0,0)

Find the Midpoint of the Segment PQ $\mathrm { P } ( 3 , - 5,4 ) , \mathrm { Q } ( 6,0,0 )$