(Solved): Complete an analytic proof for the theorem. The line segments that join the midpoints of th ...

Complete an analytic proof for the theorem. The line segments that join the midpoints of the opposite sides of a quadrilateral bisect each other. Let quadrilateral $ABCD$ have vertices as shown below. (i) Let the coordinates of the vertices be the following. A $(x,y)=()$ B $(x,y)=(2a,0)$ C $(x,y)=(2b,2c)$ $D(x,y)=(2d,2e)$ Let $R,S,T$, and $V$ be the midpoints of $\overline{AB},\overline{BC},\overline{CD}$, and $\overline{DA}$, respectively. Then the coordinates of the midpoints are as follows. $R(x,y)=()$ $S(x,y)=()$ $T(x,y)=()$ $v(x,y)=()$ segments bisect each other these line