subject: Geometry Fundamental [print this page] Geometry is a construction of object according to our given measurement. Geometry contains the collection of object it should be square, rectangle, triangle, circle, Parallelogram, cone, cylinder, cube, prism, quadrilateral. Fundamental concept of concepts are plane, Points, Rays, Lines, Line segment, Type of line .Basically geometry contains two object 2D and 3D objects
Fundamental concepts of geometry:
Plane as a flat surface which extends infinitely in all the directions
Point is a particular location of area.
A ray starts from a fixed point and extends endlessly in one direction. This fixed point is called the end point or initial point of the ray.
A line segment has a definite length
A line segment has two end-points A ray does not have a definite length
A ray does not have a definite length. A ray has one end-point. A ray has one end-point.
Types of Lines and Angles :
Major kinds of geometry:
Riemannian geometry(Elliptic geometry)
Analytic geometry
Algebraic Geometry
Differential geometry
Descriptive Geometry
Projective geometry
Non Euclidean Geometry
Types of line and angles in geometric:
Lines:
Intersecting line: Two lines that cross through each other
Perpendicular line: Two lines that form 90 degrees on intersection
Parallel line: Two lines that do not intersect each other at any point
Angles:
Acute angle:
An angle whose measure is less than 90 degrees and greater then degrees is called an acute angle.
Right angle:
An angle whose measure is 90 degrees is called right angle.
Obtuse angle:
The angle whose measure is greater than 90 degrees and less than 180 degrees is called obtuse angle.
Straight angle :
when the angle of measurement is 180 degrees called a straight angle
Reflex angle:
when the measurement of angle is greater than 180 degrees and less than 360 degrees that is called reflex
Different Types of Shapes:
Different types of shapes
1 sqaure
In square four sides are equal.
Diagonals are equal.
Angles of the square is 90deg
2.Rectangle
In rectangle opposite sides are equal
Diagonals are equal.
Contains four sides length and width
Angles also 90deg
3.Triangle
In triangle contains three sides.
Side lengths are not equal to one another
Total angles are 180deg
Triangles are classified based on the side length
Isosceles Triangle
Scalene Triangle
Equilateral Triangle
Right Triangle
Acute Triangle
Obtuse Triangle
4.Circle
circumference is define as perimeter of the circle
Diameter: A straight line is passed through the circle center point is called diamater
Diameter=2*Radius
5.Parallelogram
Opposite sides and angles are congruent
Parallelogram Diagonals bisect to each other
Each Consecutive angles are supplementary
6.Trapezoid
It is two dimensional object
It is also called a trapezium.
7.Cone
Cone is three dimensional object in geometry
Volume of the cone was depends on the height of the cone and base area of cone
8.sphere
Sphere is the one of the three dimensional object in goemetyr
