# Parallel & Skew Synthesis Problem (II)

Directions: Shown below is a picture of a rectangular prism. Your job is to label its 8 vertices ("corner points") with the purple CAPITAL LETTERS off to the right so that ALL the criteria listed below are TRUE. (Simply drag a letter next to any vertex of the prism.) Note: If you wish to change the appearance of the prism, simply move (drag) any one (or more) of the 3 blue vertices around. Again, label each of the prism's 8 vertices with the letters off to the right so that ALL the following statements are TRUE: 1) The line passing through J & O is parallel to the line passing through K & M. 2) Points J, O, K, & M are coplanar. 3) The line passing through J & P is parallel to the line passing through N & O. 4) The line passing through L & M is parallel to the line passing through K & X and the line passing through J & N. 5) Points K, L, X, & M are coplanar. 6) Points J, X, P, & M are coplanar. 7) The line passing through X & M is parallel to the line passing through N & O. 8) The line passing through N & X is skew with both the following lines: the line passing through O & P & the line passing through M & L. 9) The line passing through O & P is parallel to the line passing through M & L.