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4-1: Parallel Lines and Planes

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4-1: Parallel Lines and Planes

- Parallel Lines: Two lines that are in the same plane and do not intersect.
- Above
- AB || CDAB || CD
- AB || CDBA || DC

A

B

C

D

- 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

- 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

- 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

- 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

- Assignment
- Worksheet #4-1