Chapter 1-1 Notes

Definitions Point An in space Describes, but has no In pictures and diagrams, points are represented by Points are labeled Notice exact location location size dots with letters the capital letters

Definitions continued Line points that extend forever in both directions A line does not A line has,, and is always A line only has length, so a line is - dimensional A line is named or identified using any on that line Or with a lower-case, italicized letter Infinitely many end direction location straight one two points

Definitions continued Plane intersecting lines that extend in all directions Planes are - dimensional A plane can be named or classified by any points in the plane Planes are labeled Infinitely manyforever two three Plane ABC

Examples Example 1 What term best describes how San Diego, California would be represented on a globe? Point

Examples Example 2 What geometric object best models the surface of a movie screen? Plane

Definitions Space The set of all points expanding in Collinear Points that lie on the three dimensions same line

Examples Example 3 Which points are collinear? Points P, Q, R, S, and T are all collinear

Definitions Coplanar Points and/or that all lie on the same lines plane

Examples Example 4 Answer the following questions based off the picture below 1.List two ways to name the plane. 2.List one other way to name line h. 3.Are K and F collinear? Are they coplanar? 4.Are E, B, and F, coplanar? 5.List four points that are non-collinear. Plane ACD and Plane DGK Yes, they are both collinear and coplanar. Yes, they are coplanar. E, A, C, and B

Definitions Endpoint A point at the of a line Line segment Part of a line with Line segments are labeled by their Ray Part of a line with one and extends forever in the other direction Rays are labeled by its and point on the ray end two endpoints endpoint one other

Definitions Intersection A point or set of points where lines, planes, segments, or rays cross each other

Examples Example 5 How do the figures below intersect? Point P Point Q Point R Line l Point S

Definitions Postulates Basic rules of Geometry. We postulates are true. Theorems A statement that can be proven true using,, and other assume postulatesdefinitions theorems

Postulates Postulate 1-1 There is exactly through any two points. Postulate 1-2 There is exactly that contains any three non-collinear points Postulate 1-3 A line with points in a plane also lies within one line one plane that plane

Postulates continued Postulate 1-4 The intersection of two distinct lines will be Postulate 1-5 The intersection of two planes is a one point line

Examples