Explain why the coordinates of the midpoint of the line segment joining and are .

MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Three-Dimensional Geometry · Introduction to Three-Dimensional Geometry

Problem

Explain why the coordinates of the midpoint of the line segment joining

A(x_1,y_1,z_1)

and

B(x_2,y_2,z_2)

are

\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2},\dfrac{z_1+z_2}{2}\right)