Drill Find the next number in the sequence: -3, -1, 1, 3, __, __ 1, 4, 2, 5, 3, __, __ c) Name three things in the real world that represent a line, a point and an angle.

Chapter 1 Tools of Geometry

1.2 Points, Lines, and Planes

Notes(Vocab) Points: have no size, often represented with dots, and named with a capital letter. C A B

Lines: have no thickness, and extend infinitely in two directions Lines: have no thickness, and extend infinitely in two directions. Named with two points, or a cursive letter. Y X

Collinear: points that are lying in the same line. Non-Collinear: Not lying in the same line.

Planes: Extend infinitely in all directions Planes: Extend infinitely in all directions. It is flat and has no thickness. There are two ways to name a plane. Coplanar: Points and lines that are in the same Plane.

Postulates: an accepted statement or fact. The intersection of two lines is a ______. The intersection of two planes is a ______. Through any two points lies exactly one ______. Through any three non collinear points there is exactly one ______.

1.3 Segments, Rays, Parallel Lines and Planes

Drill Two planes intersect to make a ___. Two lines intersect to make a ___. How many different ways can you name this line? A B C D

Segments: Are parts of lines, they have two endpoints, and are named by using the two endpoints.

Rays: is a “half-line”. It has one endpoint and extends infinitely in one direction. Opposite Rays: share the same endpoint and go in opposite directions.

Parallel Lines: are lines that are in the same plane and do not intersect.

Parallel Planes: Two planes that never intersect. Skew Lines: Lines that do not intersect but are not parallel, because they are in different planes.

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