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POLYGONS . CONVEX POLYGON. CONCAVE POLYGON. All of its angles are smaller than 180º. At least one of its angles is bigger than 180º. POLYGONS . Triangle. Cuadrilateral. Pentagon. Hexagon. …. 6 sides - 6 vertices. 5 sides - 5 vertices. 4 sides - 4 vertices.
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POLYGONS CONVEX POLYGON CONCAVE POLYGON All of itsangles are smallerthan 180º At leastone of itsanglesisbiggerthan 180º
POLYGONS • Triangle • Cuadrilateral • Pentagon • Hexagon • … 6 sides- 6 vertices 5 sides- 5 vertices 4 sides- 4 vertices 3 sides- 3 vertices
TRIANGLES Clasificationby relative lengths of its sides • equilateral • isosceles • escalene 3 differentsides 3 differentangles 2 equalsides 2 equalangles 3 equalsides 3 equalangles
TRIANGLES Clasificationbyinternalangles • acutangle • right • obtusangle 3 anglessmallerthan90º One of itsanglesisbiggerthan 90º One of itsanglesis 90º
TRIANGLES ELEMENTS OF A TRIANGLE Bisector angles Itisthe centre of theinscribedcircumference INCENTER
TRIANGLES ELEMENTS OF A TRIANGLE Perpendicular bisector toeachside Itisthe centre of thecircumferencethatpassesthroughallthevertices CIRCUMCENTRE
TRIANGLES ELEMENTS OF A TRIANGLE Medians (Straitghlinesthat links a verticetothemiddlepoint of theoppositeside Itisthegravity centre INCENTRE
TRIANGLES ELEMENTS OF A TRIANGLE Altitudes (Perpendularlinesfrom a vertextotheoppositeside) ORTHOCENTRE
CUADRILATERALS SQUARE • Parallel and equallength of thesides • Alltheanglesmake 90º degrees
CUADRILATERALS RECTANGLE • Parallelsides and equaltwobytwo • 90º degreesangles
CUADRILATERALS ROMBHUS • Parallelsidestwobytwo and equallenght • Equalanglestwobytwo • Perpendicular diagonals.
CUADRILATERALS RHOMBOID • Parallel and equalsidestwobytwo • Equalanglestwobytwo
SMALLER BASE BIGGER BASE CUADRILATERALS TRAPEZIUM • It has twoparallelsidescalled bases
CUADRILATERALS TIPES OF TRAPEZIUM: Right (twoangles of 90º degrees) Isosceles (non parallelsides of equallenght)
CUADRILATERALS TRAPEZOID • 4 differentsides • 4 differentangles