48.Skew lines; the planes are flying in differentdirections and at different altitudes.49.CG,DH,EI50.DE,FG,HI,GH,BF,DH,EI51.No; plane ADEwill intersect all the planes if theyare extended.52.Sample answers: parallel bars in gymnastics,parallel port on a computer, parallel events, parallelvoices in a choir, latitude parallels on a map53.Infinite number; consider any line through Pinany plane that does not contain .54.155.Sample answer: Parallel lines and planes are usedin architecture to make structures that will bestable. Answers should include the following.•Opposite walls should form parallel planes; thefloor may be parallel to the ceiling.•The plane that forms a stairway will not beparallel to some of the walls.56.A57.The elements of M are 15, 18, 21, 24, 27, and 30.The elements of P are 16, 20, 24, and 28. Thenumbers that are in P but not in M are 16, 20,and 28. Select any one of these three numbers.Page 131Maintain Your Skills58. Given:mABC¬mDFEm1¬m4Prove:m2¬m3Proof:59.
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