Introduction:
Sixth grade geometric contains the basic of geometricals .It includes the topic of geometric in Points, Lines ,Line segment, Triangles, Types of triangles, circles, Angles, Types of Angles, Quadrilaterals
Geometric Definitions:
Point: A point determines the location of particular area.
Line: A line through two points A and B is written as AB.. It extends
Indefinitely in both directions. So it contains countless number of points. Two points are enough to fix a line
Types of lines:
Intersecting lines
Parallel lines
Perpendicular lines
Triangles in Geometry:
Triangles:
A triangle is a three-sided polygon. In fact, it is the polygon with the least number of sides
Types of Triangle:
Equilateral Triangle
When all the three sides of a triangle are equal to each other, it is called an Equilateral triangle. Each angle measures to 60 degrees. It is a type of regular polygon.
Isosceles Triangle
When two sides of a triangle are equal it is called an Isosceles triangle. It also have two equal angles.
Scalene Triangle
When no two sides of a triangle are equal the triangle is called Scalene triangle. It has three unequal sides.
Area of triangle: 1/2(Base*Height)
Perimeter of Triangle: (Sum of three sides)
Example problem:
1.Find the area of triangle base is 4cm,height is 2cm
Solution:
Area=1/2(4*2)
=8/2
=4cm2
2.Find perimeter of Triangle side lengths are 5cm,5cm,8cm
Solution:
Perimeter=(A+B+C)(Sum of three side lengths)
A=5, B=5, C=8
=(A+B+C)
=5+5+8
=18cm
Angles and Circle in Geometry
Angle:
Right Triangle
. Right angle is equal to 90 degrees. It obeys Pythagoras theorem.
Acute angle
. Acute angle is an angle which is less than 90 degrees.
Obtuse angle
An Obtuse angle is an angle which is greater than 90 degrees but less than 180 degrees.
Acute angle:
Acute and Obtuse triangles are also called as Oblique triangles because they don’t have any angle measuring 90 degrees.
Quadrilateral:
A four sided polygon is a quadrilateral. It has sides and 4 angles
Circle:
Are of circle=Pi*r*r
Circumference of Triangle=2*Pi*r
Diameter=2*Radius
Example:
Find the area and circumference of the circle when the radius is 4cm?
Solution:
1. Area=Pi*r*r (r=4) (Pi=3.14 constant)
=3.14*4*4
=50.24cm2
2. Circumference =2*pi*r
=2*3.14*4
=25.12cm
Sixth grade geometric contains the basic of geometricals .It includes the topic of geometric in Points, Lines ,Line segment, Triangles, Types of triangles, circles, Angles, Types of Angles, Quadrilaterals
Geometric Definitions:
Point: A point determines the location of particular area.
Line: A line through two points A and B is written as AB.. It extends
Indefinitely in both directions. So it contains countless number of points. Two points are enough to fix a line
Types of lines:
Intersecting lines
Parallel lines
Perpendicular lines
Triangles in Geometry:
Triangles:
A triangle is a three-sided polygon. In fact, it is the polygon with the least number of sides
Types of Triangle:
Equilateral Triangle
When all the three sides of a triangle are equal to each other, it is called an Equilateral triangle. Each angle measures to 60 degrees. It is a type of regular polygon.
Isosceles Triangle
When two sides of a triangle are equal it is called an Isosceles triangle. It also have two equal angles.
Scalene Triangle
When no two sides of a triangle are equal the triangle is called Scalene triangle. It has three unequal sides.
Area of triangle: 1/2(Base*Height)
Perimeter of Triangle: (Sum of three sides)
Example problem:
1.Find the area of triangle base is 4cm,height is 2cm
Solution:
Area=1/2(4*2)
=8/2
=4cm2
2.Find perimeter of Triangle side lengths are 5cm,5cm,8cm
Solution:
Perimeter=(A+B+C)(Sum of three side lengths)
A=5, B=5, C=8
=(A+B+C)
=5+5+8
=18cm
Angles and Circle in Geometry
Angle:
Right Triangle
. Right angle is equal to 90 degrees. It obeys Pythagoras theorem.
Acute angle
. Acute angle is an angle which is less than 90 degrees.
Obtuse angle
An Obtuse angle is an angle which is greater than 90 degrees but less than 180 degrees.
Acute angle:
Acute and Obtuse triangles are also called as Oblique triangles because they don’t have any angle measuring 90 degrees.
Quadrilateral:
A four sided polygon is a quadrilateral. It has sides and 4 angles
Circle:
Are of circle=Pi*r*r
Circumference of Triangle=2*Pi*r
Diameter=2*Radius
Example:
Find the area and circumference of the circle when the radius is 4cm?
Solution:
1. Area=Pi*r*r (r=4) (Pi=3.14 constant)
=3.14*4*4
=50.24cm2
2. Circumference =2*pi*r
=2*3.14*4
=25.12cm
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