POINT

It is the place where there are two lines, the origin or the end of a straight line, the center of an arm or that of a tiny circle. Obviously it does not have dimensious and is designed by a capital letter or by a number.
A,B,C....1,2,3....

external image Punto_Negro%5B1%5D.gif

LINE

It is a sucession of points. It is nameb by a small letter, a,b,c...
external image fleurdelisStage1.gifexternal image 3731733_823aee33e7_m.jpeg

There can be several types of lines:

STRAIGHT LINES

It is a sucession of points in the some directions, It has neither beginning nor end. It can be horizontal, vertical or oblique. It is named by small letter.

external image fleurdelisStage1.gifexternal image 3731733_823aee33e7_m.jpeg


LINE CURVE

It is a sucession of points not planes in the same directions.


external image 931.gif




POLYGONAL LINE
It is composed by straight segments joined by his ends in different directions. The segments are called sides, and the common points to two consecutive sides are named vetices.


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HORIZONTAL LINE

Straight line that coincid with the direction of the lines of the horizon, so that all the points have the some level.

external image 3731733_823aee33e7_m.jpeg


VERTICAL LINE
Straight line that coincid with the direction of all the bodies on having fallen down, remaining represented by the direction of the thread of a plumment.



external image fleurdelisStage1.gif


SLOPING LINE
Any straight line that is neither horizontal or vetical.





PERPENDICULAR STRAIGHT LINES

They are those that, on having be cut, the divide to the plane in four right angles (90o)


external image perpendicular1.gif



PARALLEL STRAIGHT LINES

They are those that follow the some direction and, therefore, thought they should extend, they never manage to be cut.

external image parallelac.gif




COMPETING STRAIGHT LINES
Those are not parallel bars; therefore they are cut in a point.

external image straight-lines-intro.png




ANGLE

It is the opening between two lines that come together at a point or vertex.
An angle is possitive when it measures up in sense of travel opposite to the needles of the clock, in opposite case it is negative. While the opposite is not indicated, of both convez angles and concave that they define two half lines that depart from the some point, it is considered to be the mirror of them; this is the convex angle.


external image 220px-%C3%81ngulo_agudo.svg.pngexternal image angulo+recto.pngexternal image angulo%2520obtuso.png

OPENING OF THE ANGLE

The angles measure uo in degress sexagesimales.Every degree it has 60 minutes and every minute has 60 seconds.

-We can classify the angles acording to the opening that they present:

RIGHT ANGLE
The one that measure 90o

external image angulo+recto.png



OBTUSE ANGLE
The main of 90o


external image angulo%2520obtuso.png

SHARP ANGLE
Less than 90o


external image 220px-%C3%81ngulo_agudo.svg.png



FLAT ANGLE
Each of the semiplanes limited by two opposite half lines.

external image 220px-%C3%81ngulo_llano.svg.png

-If we abide ourselves by the position that they have between them, the angles can be:

CONSECUTIVE ANGLES

They are those who the some vertex and a common side. Also they name continuous.



external image conse.png



ADJACENT ANGLES

They are those consecutive angles which not common sides are straight line. His sum costs two right angles (180)



external image adya1.png


ANGLES OBJECTED BY THE VERTEX

Those in which each one is formed by the prolongation of the sides of other one. The angles objected by the vertex are equal.



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SUPLEMENTARY ANGLES
Those that added cost plain, that is to say, two right angles (180).



external image suplemento.png




CIRCUNFERENCE

It's the closed and flat line, in that all his points equidistants of other fix (0) called center.



external image 240px-Circle_-_black_simple.svg



LENGTH OF A CIRCUNFERENCE

Distance that is crossed on having moved on the circunference, returning to the some point.The circunference has 360o



RADIUS

Distance of the pionts of the circunferencen to the center or of the someone.


external image circunferencia2.gif



ARCH

Part of the circunference included between two ponits.

external image 20070926klpmatgeo_236.Ges.SCO.png




SEMICIRCUNFERENCE

Arch that corresponds to half a circunference

external image arco_medio_punto.jpg



CENTRAL ANGLE

The formed for two radious.

external image 20070926klpmatgeo_18.Ees.SCO.png



ROPE

Denomination that is given to any segment that joins two points of the circunference.


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DIAMETER

Rode that passes for the center of the circunference, the diameter is the bigest rope string and costs two times the radius


external image diameterofacircle.gif


DRYING

Straight line that cuts to the circunference in two parts

external image Potencia1%5B1%5D.jpg




TANGENT

It is any straight line that touches to the circunference in a point and only in one.


external image 20070926klpmatgeo_16.Ees.SCO.png


SEMICIRCLE

The half of a circle.


external image semicircle.gif


CIRCULAR WREATH

Partion of limited surface for two concentric circunferences.




external image 03.JPG



LUNULA

Intersection of two circles. It is the surface that two dying circunference limit.

external image 0_157.gif


SEGMENT CIRCULAR

Portion of a circle limited by an arch and the corresponding string.


external image 20070926klpmatgeo_263.Ges.SCO.png


WRAPS CIRCULAR

Portion of circle limited by two parallel string

CIRCULAR SECTOR

Portion of circle included between two radius and they included.


external image 20070926klpmateyp_6.Ges.SCO.png



MEDIATRIZ OF ONE SEGMENT

Staight line perpendicularto this one for his average point.


external image 20070926klpmatgeo_99.Ges.SCO.png



BISECTRIX OF ANGLE

Straight line that happens fos his vertex and divides it in two equal parts.


external image 20070926klpmatgeo_114.Ges.SCO.png




PLANE

Three not aligned points, or two straight lines that are cut, define a plane.



TRIANGLE

They are flat figuers limited by three straight lines that cut two to two. The points where they are cut are called vertexes and segments that join them are named sides.


external image triangulo+equilatero.png external image 444932900_41d7df724e_m.jpg external image escaleno.jpg


Acording to this we can classify them in:

-EQUILATERAL TRIANGLE

It is that one that possesses tree sides of the same sizes.

external image triangulo+equilatero.png

-ISOSCELES TRIANGLE

It is that posseses two sides of equal size and unequal one

external image 444932900_41d7df724e_m.jpg

-TRIANGLE SCALENE

It is that posseses two sides of equal size and unequal one


external image escaleno.jpg
Acording to his angles the triangles can qualify in:
  • ACUTE-ANGLED

All his angles is main of 90
o
external image 200px-Tri%C3%A1ngulo_acut%C3%A1ngulo_escaleno.svg.png

  • OBTUSE-ANGLED

One of his angles measures more than 90
o
external image 200px-Tri%C3%A1ngulo_obtus%C3%A1ngulo_is%C3%B3sceles.svg.png

RECTANGLE

One of his angles measures 90o

external image 200px-Tri%C3%A1ngulo_rect%C3%A1ngulo_is%C3%B3sceles.svg.png

QUADRILATERAL

They are flat figures limited by four that cut two to two, determining a few segments that are the sides of the quadrilateral one. The points where two contiguos sides meet are the vertexes in the quadrilateral ones there appears the diagonal segment that joins two not consecutive vertexes.

The quadrilaterals can quialify in:

PARALLELOGRAMS:

The sides are parallel two to two .
-Square: It is that one that has four sides and four angles.
-Rectangle: It is that one which four sides have the same length.
external image Cuadrado.jpg external image area_Rectangulo.gif

RHOMBUS

The rhombus is a polygon of four equal sides, but his four angles are different from 90o. The area of this figure is calculated by means of the formula:
A= long diagonal x minor diagonal
2

external image rombo.gif

ROMBOIDE

A romboide is a parallelogram that has opening sides and angles equal.
A
= base · height

external image romboide.JPG

TRAPEZE

The trapeze is a polygon of four sides but his four angles are different from 90o. The area of this figure is caculated by means of the formula:
A= [(major base + minor base) · height]
2


external image area_Trapecio.gif

- RECTANGLE TRAPEZE

The rectangle trapeze is that one in which one of his angles measure 90o.

external image 20070926klpmatgeo_178.Ges.SCO.png

-ISOSCELES TRAPEZE

The isosceles trapeze is that has two not paraller equal sides.
external image trapecio_isosceles_1.jpg


OVAL

The oval is a closed and plane curve, composed for four circular arc equal two-two. It have two axis of the symetry perpendicular each other.


external image OVALO%2BEJE%2BMENOR.jpeg

OVOID

The ovoid is a closed and plane curve, composed for two circular arc equal and other twop unequal, it have a single axis of symmetry.

external image OVOIDE+EJE+MENOR.jpeg

SPIRAL

The spiral is an open and flat curve generated by a point moving uniformly along a line, while this revolves around one end with constant angular valocity.

external image ESPIRAL%2B2%2BCENTROS.jpeg

SCROLL

The scroll is a open and flat curve, composed by circular arc linked toguether, whose venters are the vertexs of a regular polygon: a triangle, a square..., called core.

external image voluta.JPG