Saturday, March 10, 2012

QUADRILATERALS

This is the material of senior high school grade VII semester 2 about "Quadrilaterals".

QUADRILATERALS
I.            RECTANGLES
     Rectangle is a four-sided plane figure whose all four angles are right angles and whose opposite sides are parallel and equal in length.
                                    

The properties of rectangles
a.       the opposite sides of rectangle are parallel
b.      the opposite sides of rectangle are equal in length
c.       all its angles of rectangle are equal in magnitude
d.      all its angles of rectangle are a right angle (90o)
e.       the diagonals of rectangle are equal in length
f.       the diagonals of rectangle intersect and bisect each other

The perimeter and area of rectangles
The perimeter of a rectangle is the sum of the length of all its sides.
     Perimeter = 2 (length + width) 

The area of a rectangle is a region which is enclosed by the sides of that rectangle.
               Area = length x width

II.         SQUARES
Square is a rectangle whose four sides are equal in length.
The properties of squares
a.       all properties of rectangle are the properties of square
b.      all sides of square are equals in length
c.       the interior angles of square are bisected by its diagonals
d.      the intersecting diagonals of square form four right angles
e.       a square can fill its frame in 8 ways

The perimeter and area of squares
The perimeter of a square is the sum of the length of all its sides
                       Perimeter = 4s

The area of a square is a region which is enclosed by the sides of that square.
                      Area = s x s

III.      PARALLELOGRAMS
Parallelogram is a four-side plane figure which is formed by combining a triangle and its image which is rotated through half full turn (180o) in the midpoint of one of the triangle’s sides.
        The properties of parallelograms
         a.       the opposite sides of a parallelogram are parallel and equal in length
b.      the opposite interior angles of a parallelogram are equal in measure
c.       the sum of all adjacent interior angles in a parallelogram is 180o
d.      the both diagonals in a parallelogram bisect each other

The perimeter and area of parallelograms
The perimeter of a parallelogram is the sum of the length of all its sides.
               Perimeter = the sum of all the sides

The area of a parallelogram is a region which is enclosed by the sides of that parallelogram.
               Area = base x altitude

IV.      RHOMBI
Rhombus is a four-side plane figure which is formed by combining an isosceles triangle and its image which is reflected to the base of the triangle.The properties of rhombi






         a.      
all sides of a rhombus are equal in length 
b.      both of diagonals in a rhombus are axis of symmetry
c.       both of diagonals in a rhombus bisect each other and intersecting perpendicularly
d.      the opposite interior angles are equal in measure and are bisected by its diagonals

The perimeter and area of rhombi
The perimeter of a rhombus is the sum of the length of all its sides.
              Perimeter  = 4s

The area of a rhombus is a region which is enclosed by the sides of that rhombus.
             Area = 1/2 x diagonal1 x diagonal2

V.         KITES
       Kite is a four-side plane figure which is formed by combining two isosceles triangles whose   bases are equal in length and coincident.



The properties of kites
a.       each of a pair of sides in a kite is equal in length
b.      a pair of opposite interior angles of a kite is equal in measure
c.       one of the diagonals in a kite is an axis of symmetry
d.      one of both diagonal bisects the other diagonal and is perpendicular each other

The and area of kites
The perimeter of a kite is the sum of the length of all its sides.
               Perimeter = the sum of all sides 

The area of a kite is a region which is enclosed by the sides of that kite.
               Area = 1/2 x diagonal1 x diagonal2




VI.      TRAPEZIUM
     Trapezium is a four-side plane figure having exactly one pair of parallel opposite sides.

                   


The properties of trapezium
The sum of two adjacent interior angles between two parallel sides in trapezium is 180o.

The perimeter and area of trapezium
The perimeter of a trapezium is the sum of the length of all its sides.
              Perimeter = the sum of all sides

The area of a trapezium is a region which is enclosed by the sides of that trapezium.
               Area = 1/2 x sum of the lengths of parallel sides x altitude


By: Nurmalia Beladina

1 comment:

  1. Its a very nice post and I want to clear some of my doubts regarding the area of rectangle,so I am giving some of my views about it.Hope you will help me - The area of a rectangle is the product of its width and length.

    ReplyDelete