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1.1 Understanding Points, Lines, and Planes
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Understanding Points, Lines, and Planes
Undefined terms- words that cannot be defined by using other figures Point- has no size or dimension; names a location Line- straight path that has no thickness, extends forever in two directions Plane- flat surface that has no thickness, extends forever in two dimensions
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Collinear- 3 or more points on the same line
Coplanar- 3 or more points on the same plane
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Segment (line segment) – part of a line, contains two points and all of the points between them
Endpoint- points on the end of a segment or the starting point on a ray
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Ray- part of a line, starts at an endpoint and extends forever in one direction
Opposite ray- two rays that have a common endpoint and extend in opposite directions forming a line
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Examples: a) Name 3 different segments b) Name the line 2 ways
c) Name 4 different rays Add 3 points to the line.
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Examples: a) Name 4 points that are coplanar
b) Name 4 points that are not coplanar c) Name 3 points that are collinear Add a plane with two intersecting lines
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Potulates (1.1.1) Two points determine a line
(1.1.2) Three noncollinear points determine a plane (1.1.3) If two points are in a plane, then the line containing the points is also in the plane
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(1.1.4) Two lines intersect at exactly one point
(1.1.5) Two planes intersect at exactly one line
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Examples: 3) Sketch two lines intersecting at exactly one point
4) Sketch two lines intersecting a plane at two points
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