Geometry

Geometry is the branch of mathematics that deals in lengths, angles, areas, volumes of geometrical shapes. Euclid is known as the father of geometry, who was a Greek mathematician. His geometry is known as Euclidean geometry.
Geometry has its immense applications in almost all sciences, art and architectures.

Geometry topics list

1. Lines and angles
2. Polygons
3. Circle
4. Area and perimeter measurements
5. Coordinate geometry
6. Theorems of geometry

1. Lines and angles

Geometry has the two most fundamental blocks upon which whole of this field works, they are point and line. A complete guide Point, Line, Ray, Line Segment and Plane is available that discusses basics of point, line, rays with diagrams and examples.

When two rays intersect at a point, an angle is formed at the point of intersection. This chapter Angle, its Measures and Types of Angle describes different types of angles with their measurements and diagrams. The chapter is available with examples and free downloadable worksheets to practice in PDF file format.

2. Polygons

Polygons in geometry are different shapes those are formed by joining more than two line segments. Their basics and types can be found in detail in chapter Curve, Polygon and Types of Polygon. The examples of polygons are triangles which is formed using three lines and quadrilaterals formed by joining four lines.

3. Circle

A circle in geometry is not a polygon because the circle is a shape that is formed without using any line segments unlike triangles and quadrilaterals. Circle has its own parts radius, diameter, secant, arc, chord, segments and tangent which can be studied in the chapter Circle and Semi Circle. Diameter, Chord, Arc, Tangent

4. Area and perimeter measurements

Polygon and other shapes like a circle in geometry are enclosed with boundaries. A triangle has its own formulas to calculate its area and perimeter.

Area and perimeter of different types of quadrilaterals have different formulas to calculate them.

Similarly, the area and circumference of circle has its own ways to calculate them.

5. Coordinate geometry

Coordinate geometry is a branch of geometry which deals with telling the position of a point in geometrical plane. The plane is divided into four quadrants with two perpendicular lines to each other, called axes, the x-axis and y-axis. This system is called as the cartesian coordinate system.

6. Theorems of geometry

Pythagoras theorem is the very famous theorem of geometry which helps calculating the lengths of base, height and hypotenuse of a right angled triangle. This theorem has its applications in daily life to solve the problems such as finding the length of a ladder inclined to a wall and to calculate the shortest distances.