# BASIC CONCEPTS OF GEOMETRY EBOOK

A line segment is the collection of points that lie between two specific endpoints. A ray has a starting point and then continues into infinity in one direction. These lines, segments, and rays intersect each other to form parallel and perpendicular lines and angles. Measurement is a very common function in geometry. Geometry BASIC CONCEPTS OF GEOMETRY BASIC CONCEPTS OF GEOMETRY This chapter covers the basic language and terminology of plane geometry. The fundamental geometrical concepts depend on three basic concepts — point, line and plane. The terms cannot be precisely defined. However, the meanings.

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## Geometry Study Guide - CHAPTER 1 : BASIC CONCEPTS IN GEOMETRY

A line is a geometric figure that consists of an infinite number of points lined up straight that extend in both directions for ever indicated by the arrows at the end. A line is identified by a lower case letter or by two points that basic concepts of geometry line passes through.

There is exactly 1 line through two points.

All points on the same line are called collinear. Points not on the same line are noncollinear.

Two lines are either parallel or they will meet at a point of intersection. A line segment is a part of a line with two endpoints. A line segment starts and stops at two endpoints.

A ray is part of a line with one endpoint and extends in one direction forever. A plane is a flat basic concepts of geometry surface. For example, we refer to the following as "point A" Line: A line is a collection of points that extend forever. The following is a line.

The two arrows are used to show basic concepts of geometry it extends forever. Three or more lines which pass through the same point are called concurrent lines and this common point is called the point of concurrence.

In the adjoining figure, lines p, q, r, s, t, u intersect at point O and are called concurrent lines.

Two lines in a Plane: Two lines in a plane which cut each other at common point are called intersecting lines and the point is called the point of intersection.

When two lines intersect basic concepts of geometry do so at only one point.

## Fundamental Geometrical Concepts | Point | Line | Properties of Lines in a Plane

The measure of 3-dimensional space is called volume, the amount of space inside of a solid. Volume is measured in cubic units.

The amount of water it takes to fill a swimming pool is a measure of volume.

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• Basic Geometry: Concepts & Terms

This table gives several solids and the formulas basic concepts of geometry finding surface area and volume for each solid: Subtraction Postulate If equal quantities are basic concepts of geometry from equal quantities, the differences are equal.

Multiplication Postulate If equal quantities are multiplied by equal quantities, the products are equal. Division Postulate If equal quantities are divided by equal nonzero quantities, the quotients are equal. Substitution Postulate A quantity may be substituted for its equal in any expression.

Partition Postulate The whole is equal to the sum of its parts. Construction From a given point on or not on a line, one and only one perpendicular can be drawn to the line.