Find the midpoint of the line segment joining the points. $( 0,0,0 ) , ( 1 , - 1,5 )$
A)(- $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ )
B)( $- \frac { 1 } { 2 }$ , $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$ )
C)( $\frac { 5 } { 2 }$ , $- \frac { 1 } { 2 }$ ,- $\frac { 1 } { 2 }$ )
D)( $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ , $\frac { 5 } { 2 }$ )
E)( $- \frac { 1 } { 2 }$ ,- $\frac { 1 } { 2 }$ ,- $\frac { 5 } { 2 }$ )

Question

Find the midpoint of the line segment joining the points. $( 0,0,0 ) , ( 1 , - 1,5 )$ 
A)(- $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ )
B)( $- \frac { 1 } { 2 }$ , $\frac { 5 } { 2 }$ , $\frac { 1 } { 2 }$ )
C)( $\frac { 5 } { 2 }$ , $- \frac { 1 } { 2 }$ ,- $\frac { 1 } { 2 }$ )
D)( $\frac { 1 } { 2 }$ , $- \frac { 1 } { 2 }$ , $\frac { 5 } { 2 }$ )
E)( $- \frac { 1 } { 2 }$ ,- $\frac { 1 } { 2 }$ ,- $\frac { 5 } { 2 }$ )

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. Thus, the midpoint is $(\frac{0+1}{2}, \frac{0-1}{2}, \frac{0+5}{2}) = (\frac{1}{2}, -\frac{1}{2}, \frac{5}{2})$.

Find the Midpoint of the Line Segment Joining the Points (0,0,0),(1,−1,5)( 0,0,0 ) , ( 1 , - 1,5 )(0,0,0),(1,−1,5)

Find the Midpoint of the Line Segment Joining the Points $( 0,0,0 ) , ( 1 , - 1,5 )$