The document discusses different types of polygons, triangles, and quadrilaterals. It defines convex and concave polygons. It describes triangles based on side lengths (equilateral, isosceles, scalene) and interior angles (acute, right, obtuse). It identifies triangle elements such as bisectors, circumcenter, incenter, and orthocenter. It also defines types of quadrilaterals including squares, rectangles, rhombuses, rhombi, trapezoids, and trapezoids.

1. POLYGONS
CONVEX
CONCAVE
POLYGON
POLYGON
AllAt least one of itssmaller than
of its angles are angles is
bigger180º 180º
than

2. POLYGONS
• Triangle
•Cuadrilateral
•Pentagon
•Hexagon
•…
4 sides- 6 vertices
6
3 sides - 5 vertices
5 4
3

3. TRIANGLES
Clasification
by relative
lengths of its
sides
•equilateral
•isosceles
•escalene
3 2 equal sides
different sides
3
3 2 equal angles
different angles
3

4. TRIANGLES
Clasification
by internal
angles
•acutangle
•right
•obtusangle
3One of its angles is
angles smaller than
Onebigger90º 90º 90º
of its angles is
than

5. TRIANGLES
ELEMENTS
OF A
TRIANGLE
Bisector
angles
It is the centre
of the
inscribed
circumference INCENTER

6. TRIANGLES
ELEMENTS
OF A
TRIANGLE
Perpendicular
bisector to
each side
It is the centre
of the
circumference
that passes
through all the CIRCUMCENTRE
vertices

7. TRIANGLES
ELEMENTS
OF A
TRIANGLE
Medians (Straitgh
lines that links a
vertice to the
middle point of the
opposite side
It is the gravity
centre
INCENTRE

8. TRIANGLES
ELEMENTS
OF A
TRIANGLE
Altitudes
(Perpendular lines
from a vertex to
the opposite side)
ORTHOCENTRE

9. CUADRILATERALS
SQUARE
•Parallel and
equal length of
the sides
•All the angles
make 90º
degrees

10. CUADRILATERALS
RECTANGLE
•Parallel sides
and equal two by
two
•90º degrees
angles

11. CUADRILATERALS
ROMBHUS
•Parallel sides
two by two and
equal lenght
•Equal angles
two by two
•Perpendicular
diagonals.

12. CUADRILATERALS
RHOMBOID
•Parallel and
equal sides two
by two
•Equal angles
two by two

13. CUADRILATERALS
TRAPEZIUM
•It has two parallel SMALLER BASE
sides called bases
BIGGER BASE

14. CUADRILATERALS
TIPES OF TRAPEZIUM:
Isosceles (non parallel Right (two angles of 90º
sides of equal lenght) degrees)

15. CUADRILATERALS
TRAPEZOID
•4 different sides
•4 different
angles