m217 section 1.1
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
M217 Section 1.1
Points, Lines, and Planes (oh my!)
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DefinitionsTerm Definition Name/ExamplePoint
Line
Plane
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DefinitionsTerm Definition ExampleCollinear
Coplanar
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Term Definition Name/ExampleSegmentEndpointRay
Opposite Rays
a) Name 3 collinear pointsb) Name 3 non-collinear pointsc) List two opposite raysd) Are and the same?e) List 3 coplanar points
Example 1
AF
AG
Example 2a) Name a point coplanar with
– J, K, L– M, N, O– J, Q
b) Where do segments JQ and QN intersect?
c) Where do planes JQN and MNO intersect?
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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
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Drawing Planes• Plane G containing
two lines that intersect at point J
• Two planes that intersect at line SD