Monday, March 24, 2014

Back to Basics

The basic building blocks of geometry are points, lines, and planes.

point is the most fundamental object in geometry. It is represented by a dot and named by a capital letter. 
These are points C, M, Q

Types of Lines:
Line: has no thickness and extends forever in two directions

Collinear points: points on the same line

Line segment: a connected piece of a line. It has two endpoints and is named by its endpoints. Sometimes, the symbol – written on top of two letters is used to denote the segment. 
This is line segment CD

Ray: a piece of a line, except that it has only one endpoint and continues forever in one direction

Intersecting lines: lines with exactly one point in common

Skew lines: two nonparallel lines in space that do not intersect
ST and UV are skew lines

Concurrent lines: three of more lines that intersect in the same point
lines l, m, n are intersect point p

Parallel lines: coplanar lines that have no points in common

Perpendicular lines: two lines that intersect and form right angles


plane may be considered as an infinite set of points forming a connected flat surface extending infinitely far in all directions. A plane has infinite length, infinite width, and zero height (or thickness). It is usually represented in drawings by a four‐sided figure. A single capital letter is used to denote a plane. 

More fantastic and easy-to-understand information can be found at Cliff NotesI Coach Math, and Math Captain.

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