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Prepared by:
Louchil V. Pizon
 A closed plane figure bounded by three or more
straight sides that meet in pairs in the same number
of vertices, and do not intersect other than at these
vertices.
 Comes from Greek word “poly” means many and
“gon” means angles.
Polygon
 A union of non-collinear segments, the sides, on a plane
that meet at their end points, the vertices, so that the
endpoint is contained by exactly two segments.
Polygon
Parts of a Polygon
o The side of the polygon is called as the surface of
polygon.
o The vertex of a polygon is the connection between
two sides.
o The diagonal is known as a line that connects two
points in the boundary of a polygon through the
centre.
o The interior angle is the angle that is
formed inside the polygon by two
adjacent sides.
o The exterior angle is the angle formed by
two adjacent sides, outside the polygon
by extending one of the sides of the
polygon.
Parts of a Polygon
Classification of a Polygon
 Convex Polygon- if lines containing the sides of the polygon
do not cross the interior of the polygon.
 Concave Polygon- if there are two points somewhere inside it for
which a segment with these as its endpoints cuts at least 2 of the
sides of the polygon
Classification of a Polygon
Type of Polygons
Equilateral Polygon- all sides are equal.
Equiangular Polygon- all angles are equal.
Regular Polygon- both equilateral and equiangular.
Activity
Recall:
1)A polygon is________________________________.
2)A polygon is equilateral if _____________________.
3)A polygon is equiangular if ____________________.
4)A polygon is regular if________________________.
Determine:
1)Polygon having 8 sides. ______________________
2)Polygon having 12 sides. _____________________
3)Polygon having 11 sides. _____________________
4)Polygon having 5 sides. ______________________
Reference:
Mathematics Learner’s Module I

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Polygons

  • 1.
  • 2.
  • 4.  A closed plane figure bounded by three or more straight sides that meet in pairs in the same number of vertices, and do not intersect other than at these vertices.  Comes from Greek word “poly” means many and “gon” means angles. Polygon
  • 5.  A union of non-collinear segments, the sides, on a plane that meet at their end points, the vertices, so that the endpoint is contained by exactly two segments. Polygon
  • 6. Parts of a Polygon o The side of the polygon is called as the surface of polygon. o The vertex of a polygon is the connection between two sides. o The diagonal is known as a line that connects two points in the boundary of a polygon through the centre.
  • 7. o The interior angle is the angle that is formed inside the polygon by two adjacent sides. o The exterior angle is the angle formed by two adjacent sides, outside the polygon by extending one of the sides of the polygon. Parts of a Polygon
  • 8. Classification of a Polygon  Convex Polygon- if lines containing the sides of the polygon do not cross the interior of the polygon.  Concave Polygon- if there are two points somewhere inside it for which a segment with these as its endpoints cuts at least 2 of the sides of the polygon
  • 10. Type of Polygons Equilateral Polygon- all sides are equal. Equiangular Polygon- all angles are equal. Regular Polygon- both equilateral and equiangular.
  • 11. Activity Recall: 1)A polygon is________________________________. 2)A polygon is equilateral if _____________________. 3)A polygon is equiangular if ____________________. 4)A polygon is regular if________________________. Determine: 1)Polygon having 8 sides. ______________________ 2)Polygon having 12 sides. _____________________ 3)Polygon having 11 sides. _____________________ 4)Polygon having 5 sides. ______________________
  • 12.