Find the midpoint of the line segment joining the points. $( 4 , - 1,7 ) , ( - 5,2,2 )$
A)( $- \frac { 1 } { 2 }$ , $\frac { 1 } { 2 }$ , $\frac { 9 } { 2 }$ )
B)( $\frac { 1 } { 2 }$ , $\frac { 9 } { 2 }$ , $- \frac { 1 } { 2 }$ )
C)( $\frac { 9 } { 2 }$ , $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ )
D)( $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ ,- $\frac { 9 } { 2 }$ )
E)( $\frac { 9 } { 2 }$ , $- \frac { 1 } { 2 }$ , $\frac { 1 } { 2 }$ )

Question

Find the midpoint of the line segment joining the points.  $( 4 , - 1,7 ) , ( - 5,2,2 )$ 
A)( $- \frac { 1 } { 2 }$ , $\frac { 1 } { 2 }$ , $\frac { 9 } { 2 }$ )
B)( $\frac { 1 } { 2 }$ , $\frac { 9 } { 2 }$ , $- \frac { 1 } { 2 }$ )
C)( $\frac { 9 } { 2 }$ , $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ )
D)( $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ ,- $\frac { 9 } { 2 }$ )
E)( $\frac { 9 } { 2 }$ , $- \frac { 1 } { 2 }$ , $\frac { 1 } { 2 }$ )

Quizplus · Accepted Answer

The midpoint of a line segment in 3D space is found by averaging the x, y, and z coordinates of the endpoints. For the given points $(4, -1, 7)$ and $(-5, 2, 2)$, the midpoint is calculated as $\left(\frac{4 + (-5)}{2}, \frac{-1 + 2}{2}, \frac{7 + 2}{2}\right) = \left(-\frac{1}{2}, \frac{1}{2}, \frac{9}{2}\right)$.

Find the Midpoint of the Line Segment Joining the Points (4,−1,7),(−5,2,2)( 4 , - 1,7 ) , ( - 5,2,2 )(4,−1,7),(−5,2,2)

Find the Midpoint of the Line Segment Joining the Points $( 4 , - 1,7 ) , ( - 5,2,2 )$