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Friday, 22 June 2012

GEOMETRY

STRAIGHT LINES AND ANGLES


STRAIGHT LINES


A straight line is a line that joins two points with the shortest distance .
For example the line that joins point A to point B is called line AB

STRAIGHT LINE.



PARALLEL LINES


Parallel lines consist of two or more lines on a plane that are always the same distance apart and they never meet.


The symbol ‘ ¤¤ ’ is used to represent  ‘ is parallel to ’.
For example,


C
D
M
N
O
P


PERPENDICULAR LINES
Perpendicular lines are two lines that are at right angles to each other.
The symbol ‘ ^ ’ is used to represent ‘ is perpendicular to ’.
For example ,




ANGLES

An angle is formed when two straight lines meet at a point.

THE STRUCTURE OF VERTEX.



The symbol ‘ Ð ’ is used to represent an angle.

The unit of measurement of an angle is degree ( ° ) or radian.

Angles are named according to the names of the lines that form the

angles . 




TYPES OF ANGLE

Angles are classified according  to their sizes.





Example : 


Name the following angles and state their characteristics

Size of angles
Name of angles
Characteristics
148°


56°


214°


90°




Solution :

Size of angles
Name of angles
Characteristics
148°
Obtuse angle
An obtuse angle is greater than 90° but less than 180°.
56°
Acute angle
Acute angle is  greater than 0° but less that 90°.
214°
Reflex angle
A reflex angle is greater than 180° but less than 360°.
90°
Right angle
A right angle = 90°.




PROPERTIES OF ANGLES








The sum of angles on straight  line is 180



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