four-side plane figures

7/29/2019 Four-Side Plane Figures

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Properties of

RectangleB = A ; C = D = 90

AB # CD ; AD # BC

AC = BD

AO = BO = CO = DO

2 Axis of symmetry


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B = A ; C = D = 90

AB # CD ; AD # BC

AC = BD

AO = BO = CO = DO4 Axis of symmetry


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Rectangle

it has areaA = l.w

it has perimeter P= 2l+ 2w = 2(l+ w)


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Square

It has areaA = s.s

It has perimeter P= 4s


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A Parallelogram can be formed by combining atriangle and its image which is rotated through half afull turn about midpoint of one of the triangles side


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Area of a Parallelogram The area of a parallelogram is b h, where b is the

length of the base of the parallelogram, and h is thecorresponding height. To picture this, consider theparallelogram below:


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Perimeter of a Parallelogram

The formula for finding the perimeter is Side A +Side B + Side A + Side B. This could also be statedas 2 x Side A + 2 x Side B or 2 x (Side A + Side B).


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Every rhombus has two diagonals connecting oppositepairs of vertices and two pairs of parallel sides.Using congruent triangles, one can prove that the rhombusis symmetric across each of these diagonals. It follows thatany rhombus has the following properties:

Opposite angles of a rhombus have equal measure.

The two diagonals of a rhombus are perpendicular; that is,a rhombus is an orthodiagonal quadrilateral. Its diagonals bisect opposite angles.


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To find the perimeter of a rhombus, just addup all the lengths of the sides:


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To find the area of a rhombus, multiply thelengths of the two diagonals and divide by 2(same as multiplying by 1/2):


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Kites


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Kites

A kite is formed by combining two isoscelestriangles whose bases are equal in length andcoincident

In every kite, there is a pair of opposite interiorangles which are equal in measure

In every kite, one of the diagonals is an axis ofsymmetry

In every kite, each of two diagonal bisects theother diagonal and is perpendicular to that otherdiagonal


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The perimeter of a kite

To find the perimeter of a kite, just add upall the lengths of the sides:


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The area of a kite

To find the area of a kite, multiply thelengths of the two diagonals and divide by2 (same as multiplying by 1/2):


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TRAPEZIUM

by : Bagaskara W H


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Trapezium is a four slided plane figurewhich has a pair of parallel lines

Type of Trapezium :

Arbitrary Trapezium : Trapezium eachhaving four sides not equal in length

Isosceles Trapezium : Trapezium

having one pair of opposite sides equal

in length Right Angled Trapezium : Trapezium

having right interior angles


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The Area of Trapezium : x (Sum ofthe parallel lines) x Altitude

The Perimeter of Trapezium : Sum of

all sides on the Trapezium


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Applying the geometry of the four

sided plane figure Example of problem :1. A square garden has sides measuring 9 m each.If the

perimeter of that garden is to be planted with fencing trees

with distance 1,5 m between every two trees,then how many

trees are required?Answer :

The perimeter of the garden : Perimeter of square

= 4x side length

= 4 x 9

= 36 m

The number of fencing trees reqiured = 36 : 1,5 = 24 trees


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2. The floor of a room measures 4m x 3m.If the floor of thatroom is to be covered with floor masuring 20 cm x 20 cm

each,then how many floors are required?

Answer :

The length of the room = 4m = 400 cmThe width of the room = 3m = 300 cm

Number of floor required to cover the length of the room = 400 :

20 = 20 floors

Number of floor required to cover the width of the room =

300 : 20 = 15 floors

Thus,the total number of floor required is : 20 x 15 : 300 floors

four-side plane figures

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