Find the midpoint of the segment PQ.
-$$\mathrm { P } ( 4 , - 4 , - 8 ) , \mathrm { Q } ( 10 , - 1 , - 6 )$$
A) $( 2 , - 2 , - 4 )$
B) $( 7 , - 4 , - 6 )$
C) $\left( 7 , - \frac { 5 } { 2 } , - 7 \right)$
D) $\left( 5 , - \frac { 1 } { 2 } , - 3 \right)$

Question

Quizplus · Accepted Answer

The midpoint formula in 3D is $\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right)$. Applying this to points P(4, -4, -8) and Q(10, -1, -6), we get the midpoint as $\left( \frac{4 + 10}{2}, \frac{-4 + (-1)}{2}, \frac{-8 + (-6)}{2} \right) = \left( 7, -\frac{5}{2}, -7 \right)$.

Find the Midpoint of the Segment PQ P(4,−4,−8),Q(10,−1,−6)\mathrm { P } ( 4 , - 4 , - 8 ) , \mathrm { Q } ( 10 , - 1 , - 6 )P(4,−4,−8),Q(10,−1,−6)

Find the Midpoint of the Segment PQ $\mathrm { P } ( 4 , - 4 , - 8 ) , \mathrm { Q } ( 10 , - 1 , - 6 )$