Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
Chapter Review
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Exercise 3 Page 164

Lines that are skew are not coplanar and do not intersect.

JN, KP, JM, and KL

Practice makes perfect

Lines that are skew to QR must meet two criteria.

  1. They cannot be coplanar with QR.
  2. They cannot intersect QR.
Examining the figure, we can determine that QR is a part of two separate planes, MQR and PQR.

By the definition of skew, we can rule out any line that runs along either of these planes. ML * MR * LQ * PQ * NR * PN * This leaves five potential skew lines left. Let's mark these on the diagram.

Since JK is coplanar with QR it cannot be skew to QR. Therefore, there are four lines that are skew to QR. JN, KP, JM, KL