GEOMETRY:It is an area which any elements and operations on /in the plane such as points lines or shape.
POINT: It is a point can be defined as the place or location where two lines intersect. A point has not dimensions,no heigh and no width.
LINE:A one dimensional object formed of infinites points.It has not endpoints and continues forever in a plane .
RAY: It is a line which begins at a particular point ( called the endpoint) and extends endlessly in one dimension.
MIDPOINT: It´s the point that is halfway between the endpoints of the line segment.
ENDPOINT: It is a point which a line segment or a ray ends or starts.
LINE SEGMENT: It is a line with two endpoints.
LENGTH: It is a measurement of something from end to end.
GEOMETRY DRAWING AND SUPPLIES CONCEPTS AND DEFINITIONS
FREEHAND: Draw by hand without guiding instruments, measurements...
LINE / TECHNICAL DRAWING: It´s a drawing with the help of supplies. You used for architecture or enginering plans.
COMPASS: It´s a toll for drawing circles and arcs and also for measuring distance between points.
PROTRACTOR: It´s an instrument for measuring or drawing angles. It´s a semicircle graduated in degrees.
SET SQUARES (UK) TRIANGULES (US): There are two special rulers with triangular sape.One is called esquad (45º/90º) and other bevel (60º/30º/90º).
EASER: Use for eliminate the mistakes.
RULER: For making lines.
LINE SEGMENT COPYING: Given the segment AB; copy it with the same lenght with a compass.
OPERATIONS WITH A SEGMENTS
ADDITION:
SUBTRACTION:
MULTIPLY:
DIVISION:
LINE BISECTOR: Perpendicular line of a segment through and end point.
PERPENDICULAR LINE TO ANOTHER THROUGH AN OUTER POINT OF IT.
PARALLEL LINE TO ANOTHER ONE THROUGH AN AUTER POINT:
PARALLEL LINE TO A GIVE LINE AT A GIVEN DISTANCE
IMPORTANT DEFINITIONS ABOUT CIRCLES
RADIUS: It´s a length of a line segment from the center to its perimeter (radiuses, plu).
DIAMETER: It´s a line segment that passes through the denter.
CLORD : A line segment which conects two points of the circle NOT THROUGH THE CENTER.
ARC: Segment of a circle.
ARROW: It´s a segment enter chord and arc pass to the center.
CIRCULE: Set of points at the same distance to a point called center.
CIRCONFERENCE: It´s the foll length of a circle.
CENTER: It´s a point equidistant to any points on a circle.
IMPORTANT DEFINITTIONS ABOUT ANGLES AND LINES
PARALLElS: They are two lines which never intersect themselves all points are EQUIDISTANT.
PERPENDICULAR: They are lines which forming four right angles 90º.
OBLIQUE: They are lines which are not parallels neither perpendicular.
ANGLES: It´s a figure formed by two rays sharing a common endpoint (vertex).
TYPES OF ANGLES (position)
COMPLEMENTARY ANGLES: They are couples of angles which sum (+) is 90º.
SUPLENTARY ANGLES: They are couples of angles which sum is 180º.
TYPES OF ANGLES (form)
1º Form for make an angle.
2º Form for make an angle.
THE ANGLE BISECTOR: When I divide on angle into two equals parts.
OPERATION WITH ANGLES
ADITION:
SUBTRACTION:
MULTIPLY:
DIVIDE: It´s a right angle in three parts equals.
POLYGONS
STAR POLYGONS: It´s a polygon with a star shape created out of linking together non consecutive vertices of a regular polygon.
INSCRIBED POLYGONS: They are polygons place inside circles SA ALL the vertex of the polygon are placed on the circle.
CONVEX POLYGON: Any line draw though the polygon it´s boundary exactly twice.
NON-CONVEX( concave): A line may be found which meets it´s boundary more than twice.
THE TRIANGLES: It´s a flat figure with three sides and three angles.
CONSTRUCTION AN EQUILATERAL TRIANGLE WHEN I KNOW ONE SIDE
CONSTRUCTION AN EQUILATERAL TRIANGLE WHEN I KNOW THE RADIUS
CONSTRUCTION AN ISOSCELES TRIANGLE WHEN I KNOW 2 SIDES:
MADE A RIGTH TRIANGLE WHEN I KNOW 2 SIDES
DO THE RIGHT TRIANGLE WHEN I KNOW 1 SIDE AND THE APOTHEM
DO THE TRIANGLE WHEN I KNOW 3 SIDES
QUADRILATERALS:They are polygons with four sides and four angles.
PARALLELOGRAMS:They are cuadrilaterals with two sides of parallel opposite equal sides and two pairs opposite equal angles.
TRAPECIUMS:Only one pair of sides are parallels
DO THE SQUARE WHEN I KNOW A SIDE
CONSTRUCTION OF SQUARE WHEN I KNOW THE RADIUS
DO THE RECTANGLE WHEN I KNOW TWO SIDES
DO A RECTANGLE WHEN I KNOW A DIAGONAL AND 1 SIDE
DO THE ROMBUS WHEN I KNOW 2 DIAGONALS
DO THE ROMBOID WHEN I KNOW 1 SIDE AND THE ANGLE Â
