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Chapter One: Tools of Geometry |
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Geometry Notes Chapter 1 Section 1.1
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Take notes on the following topics.
Vocabulary: Point (p. 11) In Euclidean geometry, a point is undefined. You can think of a point as a location. A point has no size. Space (p. 11) Space is the set of all points. Line (p. 11) In Euclidean geometry, a line is undefined. You can think of a line as a series of points that extend in two directions without end. Collinear points (p. 11) Collinear points lie on the same line. Plane (p. 11) In Euclidean geometry, a plane is undefined. You can think of a plane as a flat surface that has no thickness. A plane contains many lines and extends without end in the directions of its lines Coplanar figures (p. 11) Coplanar figures are figures in the same plane. Postulate (p. 12) A postulate, or axiom, is an accepted statement of fact.
Postulate 1-1 Through any two points there is exactly one line Postulate 1-2
If two lines intersect, then they
intersect in exactly one point.
Postulate 1-3
If two planes intersect, then they
intersect in exactly one line.
Postulate 1-4
Through any three noncollinear points
there is exactly one plane.
RELATED WEB LINKS (Additional examples & explanation)
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