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4-1: Parallel Lines and Planes. 4-1: Parallel Lines and Planes. Parallel Lines : Two lines that are in the same plane and do not intersect. Above AB || CD AB || CD AB || CD BA || DC. A. B. C. D. 4-1: Parallel Lines and Planes. Parallel planes : Planes that do not intersect

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4 1 parallel lines and planes1
4-1: Parallel Lines and Planes
  • Parallel Lines: Two lines that are in the same plane and do not intersect.
  • Above
    • AB || CD AB || CD
    • AB || CD BA || DC

A

B

C

D

4 1 parallel lines and planes2
4-1: Parallel Lines and Planes
  • Parallel planes: Planes that do not intersect
    • Shelves on a bookcase are an example of parallel planes
  • Above
    • plane PSR || plane JML
    • plane PJK || plane SML
    • plane JMS || plane KLR

Q

R

P

S

K

L

M

J

4 1 parallel lines and planes3
4-1: Parallel Lines and Planes
  • Skew Lines: Lines that do not intersect and ARE NOT in the same plane
  • Example
    • Lines QP and KL are skew

Q

R

P

S

K

L

M

J

4 1 parallel lines and planes4
4-1: Parallel Lines and Planes
  • Name all:
    • Planes parallel to plane ABC
    • Segments that intersect AB
    • Segments parallel to FG
    • Segments skew to EF

Plane EFG

BC, AD, AH, AE, and BF

EH, AD, and BC

CG, DH, AD, BC, and AH

4 1 parallel lines and planes5
4-1: Parallel Lines and Planes
  • Your Turn. Name all:
    • Planes parallel to plane ABF
    • Segments that intersect DH
    • Segments parallel to CD
    • Segments skew to AB

Plane DCG

AD, CD, GH, AH, and EH

AB, GH, and EF

DH, CG, FG, and EH

4 1 parallel lines and planes6
4-1: Parallel Lines and Planes
  • Assignment
    • Worksheet #4-1
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