M217 section 1 1
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M217 Section 1.1. Points, Lines, and Planes (oh my!). Definitions. Definitions. Example 1. Name 3 collinear points Name 3 non-collinear points List two opposite rays Are and the same? List 3 coplanar points. Example 2. Name a point coplanar with J, K, L M, N, O

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M217 Section 1.1

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M217 section 1 1

M217 Section 1.1

Points, Lines, and Planes (oh my!)


Definitions

Definitions


Definitions1

Definitions


Example 1

Example 1

  • Name 3 collinear points

  • Name 3 non-collinear points

  • List two opposite rays

  • Are and the same?

  • List 3 coplanar points


Example 2

Example 2

  • Name a point coplanar with

    • J, K, L

    • M, N, O

    • J, Q

  • Where do segments JQ and QN intersect?

  • Where do planes JQN and MNO intersect?


Point line and plane postulates

Point Line and Plane Postulates

  • A postulate is a statement that is accepted without proof.

  • Through any 2 pts there is exactly 1 line

  • Through any 3 noncollinear pts there is exactly one plane containing them

  • When two lines intersect, the intersection is a point

  • When two planes intersect, the intersection is a line


Drawing planes

Drawing Planes

  • Plane G containing two lines that intersect at point J

  • Two planes that intersect at line SD


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