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Quadrilaterals

A quadrilateral is any polygon with four sides. The basic quadrilaterals are the trapezium, parallelogram, rectangle, rhombus, square and kite.

Examples of quadrilaterals.
Name of quadrilateral Figure
trapezium [link]
parallelogram [link]
rectangle [link]
rhombus [link]
square [link]
kite [link]

Trapezium

A trapezium is a quadrilateral with one pair of parallel opposite sides. It may also be called a trapezoid . A special type of trapezium is the isosceles trapezium , where one pair of opposite sides is parallel, the other pair of sides is equal in length and the angles at the ends of each parallel side are equal. An isosceles trapezium has one line of symmetry and its diagonals are equal in length.

Examples of trapeziums.

Parallelogram

A trapezium with both sets of opposite sides parallel is called a parallelogram . A summary of the properties of a parallelogram is:

  • Both pairs of opposite sides are parallel.
  • Both pairs of opposite sides are equal in length.
  • Both pairs of opposite angles are equal.
  • Both diagonals bisect each other (i.e. they cut each other in half).
An example of a parallelogram.

Rectangle

A rectangle is a parallelogram that has all four angles equal to 90 . A summary of the properties of a rectangle is:

  • Both pairs of opposite sides are parallel.
  • Both pairs of opposite sides are of equal length.
  • Both diagonals bisect each other.
  • Diagonals are equal in length.
  • All angles at the corners are right angles.
Example of a rectangle.

Rhombus

A rhombus is a parallelogram that has all four sides of equal length. A summary of the properties of a rhombus is:

  • Both pairs of opposite sides are parallel.
  • All sides are equal in length.
  • Both pairs of opposite angles are equal.
  • Both diagonals bisect each other at 90 .
  • Diagonals of a rhombus bisect both pairs of opposite angles.
An example of a rhombus. A rhombus is a parallelogram with all sides equal.

Square

A square is a rhombus that has all four angles equal to 90 .

A summary of the properties of a square is:

  • Both pairs of opposite sides are parallel.
  • All sides are equal in length.
  • All angles are equal to 90 .
  • Both pairs of opposite angles are equal.
  • Both diagonals bisect each other at 90 .
  • Diagonals are equal in length.
  • Diagonals bisect both pairs of opposite angles (ie. all 45 ).
An example of a square. A square is a rhombus with all angles equal to 90 .

Kite

A kite is a quadrilateral with two pairs of adjacent sides equal.

A summary of the properties of a kite is:

  • Two pairs of adjacent sides are equal in length.
  • One pair of opposite angles are equal where the angles are between unequal sides.
  • One diagonal bisects the other diagonal and one diagonal bisects one pair of opposite angles.
  • Diagonals intersect at right-angles.
An example of a kite.

Questions & Answers

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
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Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
hi
Loga
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
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Source:  OpenStax, Siyavula textbooks: grade 10 maths [ncs]. OpenStax CNX. Aug 05, 2011 Download for free at http://cnx.org/content/col11239/1.2
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