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

Question

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

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. Here, the midpoint is $(\frac{4+4}{2}, \frac{-5+-4}{2}, \frac{5+-4}{2}) = (4, -\frac{9}{2}, \frac{1}{2})$.

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

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