Hello friends we are back again with another Geometry topic. Today we will have a look on Polygons, Triangles, and Quadrilaterals in grade V. We will learn what Polygons, Triangles and Quadrilaterals are their properties and types.
So let’s start with Quadrilaterals first. (also try quadratic formula calculator)
Quadrilateral is the combination of two words: quad means four and lateral means side. So Quadrilateral means four sides.
A Quadrilateral is the four straight sides, 2 dimensional closed shape.
Properties of Quadrilaterals:
Example:
The above shape is a quadrilateral and sum of angles are:
118+94+80+68=360
Types of Quadrilaterals:
Rectangle has four sides and opposite sides are equal in length with every angle is right angle.
Parallelogram has parallel opposite side and are equal in length. Opposite angles are equal.
Rhombus: All sides are equal in length. Opposite sides and angles are equal. Diagonal of rhombus intersects each other at right angle.
Square: All sides are equal in length and all angles are equal 90 degree each. Opposite sides are parallel.
Trapezium has one pair of opposite side parallel and non parallel sides and base angles are equal.
Kite has two pair of side. Adjacent sides are equal in length. One pair of opposite angles is equal. Diagonal intersect at right angle.
Polygons: It is a Greek word where Poly means “many” and Gon means “angles”. Polygons are 2 dimensional closed shapes with three or more sides. All sides are straight. Polygons names are based on sides and angles they have.
Now let us discuss about types of polygons.
Simple and Complex
Simple polygons has only one boundary and does not intersect itself whereas complex intersect itself.
Concave and Convex:
Convex has no internal angle more than 180 degree and if there is any internal angles greater than 180 degree than its is called Concave.
Regular and Irregular:
If a polygon has all sides and all angles equal than it is regular. otherwise irregular.
Types of polygons based on the sides:
Triangle has 3 sides and internal angle sum of 180.
Quadrilateral has 4 sides.
Pentagon has 5 sides.
Hexagon has 6 sides.
Triangle: As we have seen above a triangle is simple polygon with 3 sides and 3 angles.
The sum of internal angle is 180 degree.
Triangles are classified on the basis of their sides and angles.
Classification based on sides:
Scalene has no equal sides and no equal angles.
Equilateral has three equal sides and equal angles of 60 degree each.
Isosceles has 2 equal sides and two equal angles.
Classification based on angles:
Right Angle triangle has one angle of 90 degree and the side opposite to right angle is called hypotenuse. This is the longest side of the right angle triangle.
Acute angle triangle has all angles less than 90 degree. That is all angle are acute.
Obtuse angle triangle has a one angle greater than 90 degree. That is one angle is obtuse.
Now you all are familiar with the Polygons, Triangles, and Quadrilaterals and types of Polygons, Triangles, and Quadrilaterals. Just spend some time with concentration and you can easily identify and differentiate them.
In next post we will talk on Estimates of Measurements in Grade V. For more information on syllabus of economics for ICSE class 12, you can visit our website
So let’s start with Quadrilaterals first. (also try quadratic formula calculator)
Quadrilateral is the combination of two words: quad means four and lateral means side. So Quadrilateral means four sides.
A Quadrilateral is the four straight sides, 2 dimensional closed shape.
Properties of Quadrilaterals:
- Has four sides or edges.
- Has four vertices.
- Interior angles has sum of 360 degrees.
Example:
The above shape is a quadrilateral and sum of angles are:
118+94+80+68=360
Types of Quadrilaterals:
Rectangle has four sides and opposite sides are equal in length with every angle is right angle.
Parallelogram has parallel opposite side and are equal in length. Opposite angles are equal.
Rhombus: All sides are equal in length. Opposite sides and angles are equal. Diagonal of rhombus intersects each other at right angle.
Square: All sides are equal in length and all angles are equal 90 degree each. Opposite sides are parallel.
Trapezium has one pair of opposite side parallel and non parallel sides and base angles are equal.
Kite has two pair of side. Adjacent sides are equal in length. One pair of opposite angles is equal. Diagonal intersect at right angle.
Polygons: It is a Greek word where Poly means “many” and Gon means “angles”. Polygons are 2 dimensional closed shapes with three or more sides. All sides are straight. Polygons names are based on sides and angles they have.
Now let us discuss about types of polygons.
Simple and Complex
Simple polygons has only one boundary and does not intersect itself whereas complex intersect itself.
Concave and Convex:
Convex has no internal angle more than 180 degree and if there is any internal angles greater than 180 degree than its is called Concave.
Regular and Irregular:
If a polygon has all sides and all angles equal than it is regular. otherwise irregular.
Types of polygons based on the sides:
Triangle has 3 sides and internal angle sum of 180.
Quadrilateral has 4 sides.
Pentagon has 5 sides.
Hexagon has 6 sides.
Triangle: As we have seen above a triangle is simple polygon with 3 sides and 3 angles.
The sum of internal angle is 180 degree.
Triangles are classified on the basis of their sides and angles.
Classification based on sides:
Scalene has no equal sides and no equal angles.
Equilateral has three equal sides and equal angles of 60 degree each.
Isosceles has 2 equal sides and two equal angles.
Classification based on angles:
Right Angle triangle has one angle of 90 degree and the side opposite to right angle is called hypotenuse. This is the longest side of the right angle triangle.
Acute angle triangle has all angles less than 90 degree. That is all angle are acute.
Obtuse angle triangle has a one angle greater than 90 degree. That is one angle is obtuse.
Now you all are familiar with the Polygons, Triangles, and Quadrilaterals and types of Polygons, Triangles, and Quadrilaterals. Just spend some time with concentration and you can easily identify and differentiate them.
In next post we will talk on Estimates of Measurements in Grade V. For more information on syllabus of economics for ICSE class 12, you can visit our website
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