Find the midpoint of the line segment joining the points. $( 3,4 , - 2 ) , ( 5,5,5 )$
A)(- $\frac { 9 } { 2 }$ ,4, $\frac { 3 } { 2 }$ )
B)( $\frac { 3 } { 2 }$ ,- $\frac { 9 } { 2 }$ ,4)
C)( $\frac { 9 } { 2 }$ , $\frac { 3 } { 2 }$ ,4)
D)( $\frac { 3 } { 2 }$ ,4, $\frac { 9 } { 2 }$ )
E)(4, $\frac { 9 } { 2 }$ , $\frac { 3 } { 2 }$ )

Question

Find the midpoint of the line segment joining the points. $( 3,4 , - 2 ) , ( 5,5,5 )$ 
A)(- $\frac { 9 } { 2 }$ ,4, $\frac { 3 } { 2 }$ )
B)( $\frac { 3 } { 2 }$ ,- $\frac { 9 } { 2 }$ ,4)
C)( $\frac { 9 } { 2 }$ , $\frac { 3 } { 2 }$ ,4)
D)( $\frac { 3 } { 2 }$ ,4, $\frac { 9 } { 2 }$ )
E)(4, $\frac { 9 } { 2 }$ , $\frac { 3 } { 2 }$ )

Quizplus · Accepted Answer

The midpoint of a line segment in 3D is calculated by averaging the corresponding coordinates of the endpoints: $(\frac{3+5}{2}, \frac{4+5}{2}, \frac{-2+5}{2}) = (4, \frac{9}{2}, \frac{3}{2})$.

Find the Midpoint of the Line Segment Joining the Points (3,4,−2),(5,5,5)( 3,4 , - 2 ) , ( 5,5,5 )(3,4,−2),(5,5,5)

Find the Midpoint of the Line Segment Joining the Points $( 3,4 , - 2 ) , ( 5,5,5 )$