Quadrilateral Pentagon Hexagon

Introduction to quadrilateral pentagon hexagon

A quadrilateral has four sides, four angles and two diagonals. The sum of the four angles of a quadrilateral must be 360. . The word quadrilateral is made of the words quad (denote four) and laterals (denote "of sides").There are different types of quadrilaterals are there, they are following,

Types of different quadrilaterals:

Square
Rhombus
Rectangle
Parallelogram
Trapezoid
Kite

Example on Quadrilateral Pentagon Hexagon

Problem: If the four angles of a quadrilateral are equal in measure. Find the measure of each angle.

Solution:

Let assume each angle is x ,

x + x + x + x = 360 degree

4x = 360 degree

Divide both sides by 4,

x=360/4

x=90 degree

Thus, each angle of this quadrilateral is a right angle.

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Example on Quadrilateral Pentagon Hexagon

Introduction:

Pentagon is 5 side polygons. The internal angle of pentagon is 540 degree .it is classified as regular pentagon and irregular pentagon based on its sides length and angle.

Regular pentagon:

All the sides and all the angles are equal then the pentagon is called Regular pentagon.

Irregular pentagon:

If any one side not equal and any one of the angle not equal then the pentagon is called irregular pentagon.

Perimeter of regular pentagon is =5 * side measurement

Example: Find the perimeter of regular pentagon with each side having 7 inches

Solution:

Perimeter =5*7

=35 inches

Example 2: Find the measure of each angle of a regular pentagon

Solution:

We know that regular pentagon having 5 sides

Total internal angle of pentagon is 540 degree

Therefore each angle = 540/5

=108 degree  

Example on Quadrilateral Pentagon Hexagon

Introduction:

A hexagon is a six side polygon. The total of the internal angles of any hexagon is 720 degrees. it is having six rotational symmetry  and reflection symmetry .it is classified as regular hexagon and irregular hexagon based on sides length and angle . All the sides and all the angles are equal then the hexagon is called Regular hexagon. if any one not equal then the hexagon is called irregular polygon.

Perimeter of Hexagon:

Perimeter for hexagon =6 *side length

Example: Find the perimeter of hexagon having each side length is 8 inches.

Solution:

Perimeter of hexagon = 6*side length.

= 6 *8

= 48 inches