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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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