Chapter One:  
Tools of Geometry

Geometry   Notes

Chapter  1

Section  1.1
Section  1.2
Section  1.3
Section  1.4
Section  1.5
Section  1.6
Section  1.7

Geometry Contents


Take notes on the following topics.

Section 1-2  Points, Lines, and Planes

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.

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(Additional examples & explanation)