Friday, December 7, 2018

LESSON 1: Points and Lines

The most basic terms in mensuration are point, line, plane and angle. Each of these terms has been explained only using examples and descriptions. Granting these words are in the dictionary, still they are not defined clearly. For example, what is a point? Although the concept of a point is intuitive, still some of paper, vut what is the dot size? We may consider points on the number line or points on the rectangular plane. 

1.1

A point is a zero dimensional mathematical object that has position only and has no length, no width nor thickness.

A point may be specified in an n-dimensional space using n coordinates. Any point in space may be denoted by a capital letter.


1.2

A line is a one dimensional figure having no thickness and extending infinitely in both directions.

It is sometimes called a straight line to emphasize that it has no twist anywhere along its length.



IMPORTANT FACTS 📣

1. A ray is a straight line which is limited from one side and infinite from another side.

A ray is terminated at one end by point A and infinitely extending to another end. 


2. A segment or line segment is a part of a straight line which is limited from both sides.

Points A and B are used to terminate the line to form a line segment. Two line segments having the same length are said to be congruent line segments.
3. Parallel lines are straight lines which lie in the same plane and do not intersecr no matter how long they are extended.


4. Intersecting lines are two or more different lines that meet at the same point.



5. Transversal line is a line that cuts across two or more lines.




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LESSON 1: Points and Lines

The most basic terms in mensuration are point, line, plane and angle. Each of these terms has been explained only using examples and descri...