MathDB

Let

ABCD

be a parallelogram and let

\overrightarrow{AA^\prime}

\overrightarrow{BB^\prime}

\overrightarrow{CC^\prime}

, and

\overrightarrow{DD^\prime}

be parallel rays in space on the same side of the plane determined by

ABCD

. If AA^\prime \equal{} 10, BB^\prime \equal{} 8, CC^\prime \equal{} 18, DD^\prime \equal{} 22, and

M

and

N

are the midpoints of

\overline{A^{\prime}C^{\prime}}

and

\overline{B^{\prime}D^{\prime}}

, respectively, then MN \equal{}

<span class='latex-bold'>(A)</span>\ 0\qquad <span class='latex-bold'>(B)</span>\ 1\qquad <span class='latex-bold'>(C)</span>\ 2\qquad <span class='latex-bold'>(D)</span>\ 3\qquad <span class='latex-bold'>(E)</span>\ 4

Problem Statement