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English

Adjectives

An adjective modifies a noun or a pronoun by describing, identifying, or

quantifying words.

An adjective often precedes the noun or the pronoun which it modifies. Examples:

Mrs. Smith papered her living room walls with beautiful wall paper.

The large boat foundered on the dark sea.

The coal mines are dark and dank.

My bike is dirty and rusted.

Adjectives are words that describe or modify another person or thing in the

sentence. The Articles a, an, and the are adjectives.

Examples:

Comparative and Superlative

Likes and Dislikes

To express that something we like, we use the following phrases

http://www.uottawa.ca/academic/arts/writcent/hypergrammar/nouns.html#nounhttp://www.uottawa.ca/academic/arts/writcent/hypergrammar/pronouns.html#pronounhttp://www.uottawa.ca/academic/arts/writcent/hypergrammar/pronouns.html#pronounhttp://www.uottawa.ca/academic/arts/writcent/hypergrammar/nouns.html#noun

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I love... Me encanta(n)...I like... Me gusta(n)...I'm interested in... Me interesa(n)...I'm fond of... Me gusta(n)...

...reading leer

...computers las computadoras

...travelling viajar

To express that something we like, we use the following phrases:

I hate... Odio...I dislike... No me gusta(n)I don't like... No me gusta(n)I'm not interested in... No meinteresa(n)...

...reading leer

...computers las computadoras

...travelling viajar

In both cases, the expressions are followed by a noun or a verb in-ing (gerundform).

Try to think of words to say what you like and do not like to do, starting with one ofthe options shown. For example:

I like dancing.

I love learning English.

Present Simple

FORM: [VERB] + s/es in third person

USE 1 Repeated Actions

Use the Simple Present to express the idea that an action is repeated or usual.

The action can be a habit, a hobby, a daily event, a scheduled event or something

that often happens. It can also be something a person often forgets or usually does

not do.

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Examples:

I play tennis.

She does not play tennis.

Does he play tennis?

USE 2 Facts or Generalizations

The Simple Present can also indicate the speaker believes that a fact was true

before, is true now, and will be true in the future. It is not important if the speaker is

correct about the fact. It is also used to make generalizations about people or

things.

Examples:

Cats like milk.

Birds do not like milk.

Do pigs like milk?

Past Simple

FORM: [VERB+ed] orirregular verbs

Use the Simple Past to express the idea that an action started and finished at aspecific time in the past. Sometimes, the speaker may not actually mention the

specific time, but they do have one specific time in mind.

http://www.englishpage.com/irregularverbs/irregularverbs.htmlhttp://www.englishpage.com/irregularverbs/irregularverbs.html

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Examples:

I saw a movie yesterday.

I didn't see a play yesterday.

Last year, I traveled to Japan.

USE 2 A Series of Completed Actions

We use the Simple Past to list a series of completed actions in the past. These

actions happen 1st, 2nd, 3rd, 4th, and so on.

Examples:

I finished work, walked to the beach, and found a nice place to swim.

He arrived from the airport at 8:00, checked into the hotel at 9:00,

and met the others at 10:00.

Present Continuous

FORM: [am/is/are + present participle]

Examples:

You are watching TV.

Are you watching TV?

You are not watching TV.

Use the Present Continuous withNormal Verbsto express the idea that something

is happening now, at this very moment. It can also be used to show that something

is not happening now.

Examples:

http://www.englishpage.com/verbpage/types.htmlhttp://www.englishpage.com/verbpage/types.htmlhttp://www.englishpage.com/verbpage/types.htmlhttp://www.englishpage.com/verbpage/types.html

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You are learning English now.

You are not swimming now.

Are you sleeping?

USE 2 Longer Actions in Progress Now

In English, "now" can mean: this second, today, this month, this year, this century,

and so on. Sometimes, we use the Present Continuous to say that we are in the

process of doing a longer action which is in progress; however, we might not be

doing it at this exact second.

Examples: (All of these sentences can be said while eating dinner in a restaurant.)

I am studying to become a doctor.

I am not studying to become a dentist.

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Science

The Cell

Cells are the Starting Point

All living organisms on Earth are divided in pieces called cells. There are smaller

pieces to cells that include proteins and organelles. There are also larger pieces

called tissues and systems. Cells are small compartments that hold all of the

biological equipment necessary to keep an organism alive and successful on

Earth.

A cell is the smallest living thing, and all bigger living things are made of cells.

Both plants and animals are made of cells. We don't know yet whether there are

cells on any otherplanet besides Earth. On Earth, the first cells got started about

3.5 billion years ago, about 2.5 billion years after the Earth first formed.

Different Types of Cells

The cell is the basic unit of life. Some organisms are made up of a single cell, like

bacteria, while others are made up of trillions of cells. We're made up of cells, too.

Although there are lots of different cells, most of them fit fewer than two main types

of cells:

Prokaryotic Cells - The prokaryotic cell is a simple, small cell with no nucleus.

Most bacteria are prokaryotic. There are three main parts to the prokaryotic cell: 1)

the outside or cell wall 2) the flagella which is like an appendage and can help the

cell to move 3) The inside or cytoplasm.

Eukaryotic Cells - these cells are a lot bigger and have a cell nucleus which

houses the cell's DNA. These are the types of cells we find in plants and animals.

http://scienceforkids.kidipede.com/biology/plants/http://scienceforkids.kidipede.com/biology/animals/http://scienceforkids.kidipede.com/physics/space/planet.htmhttp://scienceforkids.kidipede.com/physics/space/earth.htmhttp://scienceforkids.kidipede.com/physics/space/earth.htmhttp://scienceforkids.kidipede.com/physics/space/planet.htmhttp://scienceforkids.kidipede.com/biology/animals/http://scienceforkids.kidipede.com/biology/plants/

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Parts of the Cell

There are a lot of parts and functions to some cells. The machines inside the cell

like the nucleus, ribosomes, and lysosomes are called organelles.

Here are some of the man components many cells have:

Nucleus

- Large Oval body near the centre of the cell.

- The control centre for all activity.

- Surrounded by a nuclear membrane.

Cyto Plasm

- cell material outside the nucleus but within the cell membrane.

- clear thick fluid.

- contains structures called organelles.

Vacuoles- are clear fluid sacs that act as storage areas for food, minerals, and waste.

- in plant cell the vacuoles are large and mostly filled with water. This gives the

plant support.

- in animal cells the vacuoles are much smaller.

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Mitochondria

- power house of the cell.

- centre of respiration of the cell.

- they release energy for cell functions.

Endo Plasmic Reticulum ( ER )

- systems of membranes throughout the cyto plasm.

- it connects the nuclear membrane to the cell membrane.

- passageway for material moving though the cell.

Lysosomes

- "suicide sacs"

- small structures that contain enzymes which are used in digestion.

- if a lysosome were to burst it could destroy the cell.

All attributes

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Differences

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Similarities

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Social

COLOMBIA

The Republic of Colombia is a countrylocated in the northwestern region ofSouth

America.

Colombia is bordered to the east by

Venezuela and Brazil; to the south by

Ecuador and Peru; to the North by the

Atlantic Ocean, through the Caribbean Sea;

to the north-west by Panama; and to the

west by the Pacific Ocean.

Main Facts

Official Name: Repblica de Colombia.

Capital: Bogot.

Independence Day: July 20th

, 1810.

Battle of Boyaca: August 7th 1819.

NATURAL FEATURES

Climate: Tropical.

Major Rivers: Magdalena, Cauca, Meta, Guaviare, Caqueta, Putumayo, Atrato,

Vaupes, Vichada.

Mountain Ranges: Occidental, Central, Oriental.

PEOPLE

Religions: Roman Catholicism, 95.4%.

Language: Spanish (official).

http://en.wikipedia.org/wiki/South_Americahttp://en.wikipedia.org/wiki/South_Americahttp://en.wikipedia.org/wiki/Venezuelahttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Ecuadorhttp://en.wikipedia.org/wiki/Peruhttp://en.wikipedia.org/wiki/Atlantic_Oceanhttp://en.wikipedia.org/wiki/Caribbean_Seahttp://en.wikipedia.org/wiki/Panamahttp://en.wikipedia.org/wiki/Pacific_Oceanhttp://images.google.com.co/imgres?imgurl=http://www.vivenciaandina.com/viajes-mapas-sudamerica/1-colombia-2.jpg&imgrefurl=http://www.vivenciaandina.com/viajes-a-colombia/colombia-mapa.htm&usg=__NwjXrvKFbZitqwTRlgXCWyOavxY=&h=427&w=400&sz=37&hl=es&start=17&tbnid=BTnQOv81U2d4UM:&tbnh=126&tbnw=118&prev=/images?q=mapa+de+colombia&gbv=2&hl=eshttp://en.wikipedia.org/wiki/Pacific_Oceanhttp://en.wikipedia.org/wiki/Panamahttp://en.wikipedia.org/wiki/Caribbean_Seahttp://en.wikipedia.org/wiki/Atlantic_Oceanhttp://en.wikipedia.org/wiki/Peruhttp://en.wikipedia.org/wiki/Ecuadorhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Venezuelahttp://en.wikipedia.org/wiki/South_Americahttp://en.wikipedia.org/wiki/South_America

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LIMITS

East: Venezuela and Brazil

South: Ecuadorand Peru

North: Atlantic Ocean, through the Caribbean Sea

North-west:Panama

West:Pacific Ocean.

ECONOMY

Main Agricultural Products: Crops; sugarcane, potatoes, plantains, rice,

bananas, cassavas, corn, coffee, flowers. Livestock; cattle, sheep, pigs,

chickens.

Main Mined Products: Petroleum, natural gas, gold, coal, iron ore.

Main Manufactured Products: Foods, textiles, chemicals, machinery,

electrical apparatus, transport equipment, metal products.

Main Exports: Coffee, petroleum and petroleum products, fruits, flowers, iron

and steel, textile and apparel.

Monetary Unit: Peso.

GOVERNMENT

Independence: July 20, 1810.

Constitution: July 1991.

Branches: Executive, Legislative and Judicial

DEPARTMENTS AND CAPITALS

Colombia is divided into 32 departments and one capital district which is treated asa department.

Department Capital City

1 Amazonas Leticia

http://en.wikipedia.org/wiki/Venezuelahttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Ecuadorhttp://en.wikipedia.org/wiki/Peruhttp://en.wikipedia.org/wiki/Atlantic_Oceanhttp://en.wikipedia.org/wiki/Caribbean_Seahttp://en.wikipedia.org/wiki/Panamahttp://en.wikipedia.org/wiki/Panamahttp://en.wikipedia.org/wiki/Pacific_Oceanhttp://en.wikipedia.org/wiki/Pacific_Oceanhttp://en.wikipedia.org/wiki/Departments_of_Colombiahttp://en.wikipedia.org/wiki/Amazonas_Department%2C_Colombiahttp://en.wikipedia.org/wiki/Leticia%2C_Colombiahttp://en.wikipedia.org/wiki/Departments_of_Colombiahttp://en.wikipedia.org/wiki/Leticia%2C_Colombiahttp://en.wikipedia.org/wiki/Amazonas_Department%2C_Colombiahttp://en.wikipedia.org/wiki/Departments_of_Colombiahttp://en.wikipedia.org/wiki/Pacific_Oceanhttp://en.wikipedia.org/wiki/Panamahttp://en.wikipedia.org/wiki/Caribbean_Seahttp://en.wikipedia.org/wiki/Atlantic_Oceanhttp://en.wikipedia.org/wiki/Peruhttp://en.wikipedia.org/wiki/Ecuadorhttp://en.wikipedia.org/wiki/Brazilhttp://en.wikipedia.org/wiki/Venezuela

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2 Antioquia Medelln

3 Arauca Arauca

4 Atlntico Barranquilla

5 Bolvar Cartagena

6 Boyac Tunja

7 Caldas Manizales

8 Caquet Florencia

9 Casanare Yopal

10 Cauca Popayn

11 Cesar Valledupar

12 Choc Quibd

13 Crdoba Montera

14 Cundinamarca Bogot

15 Guaina Inirida

16 Guaviare S. Jos del Guaviare

17 Huila Neiva

18 La Guajira Riohacha

19 Magdalena Santa Marta

20 Meta Villavicencio

21 Nario Pasto

22 Norte de Santander Ccuta

23 Putumayo Mocoa

24 Quindo Armenia

25 Risaralda Pereira

26 San Andrs and Providencia San Andrs

27 Santander Bucaramanga28 Sucre Sincelejo

29 Tolima Ibagu

30 Valle del Cauca Cali

31 Vaups Mit

http://en.wikipedia.org/wiki/Antioquia_Departmenthttp://en.wikipedia.org/wiki/Medell%C3%ADnhttp://en.wikipedia.org/wiki/Arauca_Departmenthttp://en.wikipedia.org/wiki/Arauca%2C_Araucahttp://en.wikipedia.org/wiki/Atl%C3%A1ntico_Departmenthttp://en.wikipedia.org/wiki/Barranquillahttp://en.wikipedia.org/wiki/Bol%C3%ADvar_Departmenthttp://en.wikipedia.org/wiki/Cartagena_de_Indiashttp://en.wikipedia.org/wiki/Boyac%C3%A1_Departmenthttp://en.wikipedia.org/wiki/Tunjahttp://en.wikipedia.org/wiki/Caldas_Departmenthttp://en.wikipedia.org/wiki/Manizaleshttp://en.wikipedia.org/wiki/Caquet%C3%A1_Departmenthttp://en.wikipedia.org/wiki/Florenciahttp://en.wikipedia.org/wiki/Casanare_Departmenthttp://en.wikipedia.org/wiki/Yopalhttp://en.wikipedia.org/wiki/Cauca_Departmenthttp://en.wikipedia.org/wiki/Popay%C3%A1nhttp://en.wikipedia.org/wiki/Cesar_Departmenthttp://en.wikipedia.org/wiki/Valleduparhttp://en.wikipedia.org/wiki/Choc%C3%B3_Departmenthttp://en.wikipedia.org/wiki/Quibd%C3%B3http://en.wikipedia.org/wiki/C%C3%B3rdoba_Departmenthttp://en.wikipedia.org/wiki/Monter%C3%ADahttp://en.wikipedia.org/wiki/Cundinamarca_Departmenthttp://en.wikipedia.org/wiki/Bogot%C3%A1http://en.wikipedia.org/wiki/Guain%C3%ADa_Departmenthttp://en.wikipedia.org/wiki/In%C3%ADrida%2C_Guain%C3%ADahttp://en.wikipedia.org/wiki/Guaviare_Departmenthttp://en.wikipedia.org/wiki/San_Jos%C3%A9_del_Guaviarehttp://en.wikipedia.org/wiki/Huila_Departmenthttp://en.wikipedia.org/wiki/Neivahttp://en.wikipedia.org/wiki/Guajira_Departmenthttp://en.wikipedia.org/wiki/Riohachahttp://en.wikipedia.org/wiki/Magdalena_Departmenthttp://en.wikipedia.org/wiki/Santa_Martahttp://en.wikipedia.org/wiki/Meta_Departmenthttp://en.wikipedia.org/wiki/Villavicenciohttp://en.wikipedia.org/wiki/Nari%C3%B1o_Departmenthttp://en.wikipedia.org/wiki/Pastohttp://en.wikipedia.org/wiki/Norte_de_Santander_Departmenthttp://en.wikipedia.org/wiki/C%C3%BAcutahttp://en.wikipedia.org/wiki/Putumayo_Departmenthttp://en.wikipedia.org/wiki/Mocoahttp://en.wikipedia.org/wiki/Quind%C3%ADo_Departmenthttp://en.wikipedia.org/wiki/Armenia%2C_Colombiahttp://en.wikipedia.org/wiki/Risaralda_Departmenthttp://en.wikipedia.org/wiki/Pereira%2C_Colombiahttp://en.wikipedia.org/wiki/San_Andr%C3%A9s_and_Providencia_Departmenthttp://en.wikipedia.org/wiki/Santander_Departmenthttp://en.wikipedia.org/wiki/Bucaramangahttp://en.wikipedia.org/wiki/Sucre_Departmenthttp://en.wikipedia.org/wiki/Sincelejohttp://en.wikipedia.org/wiki/Tolima_Departmenthttp://en.wikipedia.org/wiki/Ibagu%C3%A9http://en.wikipedia.org/wiki/Valle_del_Caucahttp://en.wikipedia.org/wiki/Calihttp://en.wikipedia.org/wiki/Vaup%C3%A9s_Departmenthttp://en.wikipedia.org/wiki/Mit%C3%BAhttp://en.wikipedia.org/wiki/Mit%C3%BAhttp://en.wikipedia.org/wiki/Vaup%C3%A9s_Departmenthttp://en.wikipedia.org/wiki/Calihttp://en.wikipedia.org/wiki/Valle_del_Caucahttp://en.wikipedia.org/wiki/Ibagu%C3%A9http://en.wikipedia.org/wiki/Tolima_Departmenthttp://en.wikipedia.org/wiki/Sincelejohttp://en.wikipedia.org/wiki/Sucre_Departmenthttp://en.wikipedia.org/wiki/Bucaramangahttp://en.wikipedia.org/wiki/Santander_Departmenthttp://en.wikipedia.org/wiki/San_Andr%C3%A9s_and_Providencia_Departmenthttp://en.wikipedia.org/wiki/San_Andr%C3%A9s%2C_Colombiahttp://en.wikipedia.org/wiki/Pereira%2C_Colombiahttp://en.wikipedia.org/wiki/Risaralda_Departmenthttp://en.wikipedia.org/wiki/Armenia%2C_Colombiahttp://en.wikipedia.org/wiki/Quind%C3%ADo_Departmenthttp://en.wikipedia.org/wiki/Mocoahttp://en.wikipedia.org/wiki/Putumayo_Departmenthttp://en.wikipedia.org/wiki/C%C3%BAcutahttp://en.wikipedia.org/wiki/Norte_de_Santander_Departmenthttp://en.wikipedia.org/wiki/Pastohttp://en.wikipedia.org/wiki/Nari%C3%B1o_Departmenthttp://en.wikipedia.org/wiki/Villavicenciohttp://en.wikipedia.org/wiki/Meta_Departmenthttp://en.wikipedia.org/wiki/Santa_Martahttp://en.wikipedia.org/wiki/Magdalena_Departmenthttp://en.wikipedia.org/wiki/Riohachahttp://en.wikipedia.org/wiki/Guajira_Departmenthttp://en.wikipedia.org/wiki/Neivahttp://en.wikipedia.org/wiki/Huila_Departmenthttp://en.wikipedia.org/wiki/San_Jos%C3%A9_del_Guaviarehttp://en.wikipedia.org/wiki/Guaviare_Departmenthttp://en.wikipedia.org/wiki/In%C3%ADrida%2C_Guain%C3%ADahttp://en.wikipedia.org/wiki/Guain%C3%ADa_Departmenthttp://en.wikipedia.org/wiki/Bogot%C3%A1http://en.wikipedia.org/wiki/Cundinamarca_Departmenthttp://en.wikipedia.org/wiki/Monter%C3%ADahttp://en.wikipedia.org/wiki/C%C3%B3rdoba_Departmenthttp://en.wikipedia.org/wiki/Quibd%C3%B3http://en.wikipedia.org/wiki/Choc%C3%B3_Departmenthttp://en.wikipedia.org/wiki/Valleduparhttp://en.wikipedia.org/wiki/Cesar_Departmenthttp://en.wikipedia.org/wiki/Popay%C3%A1nhttp://en.wikipedia.org/wiki/Cauca_Departmenthttp://en.wikipedia.org/wiki/Yopalhttp://en.wikipedia.org/wiki/Casanare_Departmenthttp://en.wikipedia.org/wiki/Florenciahttp://en.wikipedia.org/wiki/Caquet%C3%A1_Departmenthttp://en.wikipedia.org/wiki/Manizaleshttp://en.wikipedia.org/wiki/Caldas_Departmenthttp://en.wikipedia.org/wiki/Tunjahttp://en.wikipedia.org/wiki/Boyac%C3%A1_Departmenthttp://en.wikipedia.org/wiki/Cartagena_de_Indiashttp://en.wikipedia.org/wiki/Bol%C3%ADvar_Departmenthttp://en.wikipedia.org/wiki/Barranquillahttp://en.wikipedia.org/wiki/Atl%C3%A1ntico_Departmenthttp://en.wikipedia.org/wiki/Arauca%2C_Araucahttp://en.wikipedia.org/wiki/Arauca_Departmenthttp://en.wikipedia.org/wiki/Medell%C3%ADnhttp://en.wikipedia.org/wiki/Antioquia_Department

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32 Vichada Puerto Carreo

Colombian Icons or Symbols

Flag Coat of Arms Animal (Condor) Tree (Wax

Palm)

Flower (Orchid) Product

(Coffee)

Product

(Emerald)

Money (Peso)

Culture

http://en.wikipedia.org/wiki/Vichada_Departmenthttp://en.wikipedia.org/wiki/Puerto_Carre%C3%B1ohttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.fotolibre.org/albums/mapamundi/peru1998/colca/f-colca-condor-c03.jpg&imgrefurl=http://portal.bibliotecasvirtuales.com/es/foros/haiga-condor&usg=__Dken45xmQ6tUaRfuEE_C7PlY_98=&h=716&w=1065&sz=71&hl=es&start=8&tbnid=zKFaoz20uHESxM:&tbnh=101&tbnw=150&prev=/images?q=condor&gbv=2&hl=eshttp://images.google.com.co/imgres?imgurl=http://www.appliedlanguage.com/flags_of_the_world/large_flag_of_colombia.gif&imgrefurl=http://www.appliedlanguage.com/flags_of_the_world/flag_of_colombia.shtml&usg=__hA3G_6iKOQMyyEJGGnYEsu7uaMQ=&h=302&w=453&sz=2&hl=es&start=2&tbnid=BqGgR5pNKc0UZM:&tbnh=85&tbnw=127&prev=/images?q=Colombian+flag&gbv=2&hl=eshttp://en.wikipedia.org/wiki/Puerto_Carre%C3%B1ohttp://en.wikipedia.org/wiki/Vichada_Department

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Colombian Presidents

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Math

Shapes

Triangles

A three-sided polygon. The sum of the angles of a triangle is 180 degrees.

There are three different kinds of triangles:

1) Equilateral Triangle or Equiangular Triangle. Its a triangle

having all three sides of equal length. The angles of an

equilateral triangle all measure 60 degrees.

2) Isosceles Triangle.A triangle having two sides of equal length.

3) Scalene Triangle. A triangle having three

sides of different lengths.

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Circle

A circle is the collection of points in a plane that are all the same distance from a

fixed point. The fixed point is called the centre. A line segment joining the centre to

any point on the circle is called a radius.

Centre (P): It is in the centre of the circle and the distance

from this point to any other point on the circumference is the

same.

Radius (r): The distance from the centre to any point on

the circle is called the radius. A diameter is twice the

distance of a radius.

Circumference (C): The distance around a circle is its circumference. It is also the

perimeter of the circle.

Arc: An arc is a part of the circumference of a circle.

The longer arc is called the major arc while the

shorter one is called the minor arc.

Sector: A sector is a region enclosed by two radii and an arc.

Refer to the figure given, ROS is called the angle subtened by the

arc RS at the centre O.

The larger sector is called the major sector while

the smaller one, a minor sector.

Segment: A segment of a circle is the region enclosed by a chord

and an arc of the circle. The larger segment is the major segment

whiles the smaller one, the minor segment.

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Quadrilaters

InEuclidean plane geometry, a quadrilateral is

apolygonwith four sides (or edges) and four vertices

or corners. Sometimes, the term quadrangle is used, by

analogy withtriangle, and sometimes tetragon for

consistency withpentagon(5-sided),hexagon(6-sided)

and so on.

The origin of the word "quadrilateral" is the two Latin

words quadri, a variant of four, and latus, meaning "side."

Theinterior anglesof a simple (and planar) quadrilateral ABCD add up to

360degrees of arc, that is

http://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Euclidean_geometryhttp://en.wikipedia.org/wiki/Polygonhttp://en.wikipedia.org/wiki/Polygonhttp://en.wikipedia.org/wiki/Polygonhttp://en.wikipedia.org/wiki/Trianglehttp://en.wikipedia.org/wiki/Trianglehttp://en.wikipedia.org/wiki/Trianglehttp://en.wikipedia.org/wiki/Pentagonhttp://en.wikipedia.org/wiki/Pentagonhttp://en.wikipedia.org/wiki/Pentagonhttp://en.wikipedia.org/wiki/Hexagonhttp://en.wikipedia.org/wiki/Hexagonhttp://en.wikipedia.org/wiki/Hexagonhttp://en.wikipedia.org/wiki/Internal_and_external_anglehttp://en.wikipedia.org/wiki/Internal_and_external_anglehttp://en.wikipedia.org/wiki/Internal_and_external_anglehttp://en.wikipedia.org/wiki/Degrees_of_archttp://en.wikipedia.org/wiki/Degrees_of_archttp://en.wikipedia.org/wiki/Degrees_of_archttp://en.wikipedia.org/wiki/Degrees_of_archttp://en.wikipedia.org/wiki/Internal_and_external_anglehttp://en.wikipedia.org/wiki/Hexagonhttp://en.wikipedia.org/wiki/Pentagonhttp://en.wikipedia.org/wiki/Trianglehttp://en.wikipedia.org/wiki/Polygonhttp://en.wikipedia.org/wiki/Euclidean_geometry