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UNDERSTANDING
   SHAPES
POLYGONS
• A POLYGON is a closed figure made up of three or more line segments.
  ‘Poly’ means many, hence, polygon means a ‘many sided figure’. Some
  examples of polygon are:




   Some examples of none polygons are:
Some polygons have special names that correspond to
        the number of sides in the polygon
  SIDES         NAME             FIGURE
     3      TRIANGLE

     4      QUADRILATERAL

     5      PENTAGON

     6      HEXAGON

     7      HEPTAGON

     8      OCTAGON

     9      NONAGON

    10      DECAGON

    11      HENDECAGON

    12      DODECAGON
TYPES OF POLYGONS
1. CONVEX POLYGON: in a polygon, if the line joining
   any two points lies inside the polygon, then the
   polygon is a convex polygon.



2. CONCAVE POLYGON: In a polygon, if there exists
   even one line, which when joining two points of a
   polygon, does not lie inside the polygon, then the
   polygon is a concave polygon.
3. REGULAR POLYGON: A polygon in which all
    the sides and all the angles are equal is
    known as regular polygon.
4. IRREGULAR POLYGON: The polygons that are
  not regular are called irregular polygons.
Figure
Properties                            parallelogram   rectangle   rhombus   square

Sides: opposite sides are equal

       adjacent sides are equal

       opposite sides are parallel

Angles: opposite angles are equal


        adjacent angles are equal


          all angles are right angles

Diagonals: diagonals are equal


          diagonals bisect each other


         diagonals bisect each other
         at right angles
Understanding shapes

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Understanding shapes

  • 1. UNDERSTANDING SHAPES
  • 2. POLYGONS • A POLYGON is a closed figure made up of three or more line segments. ‘Poly’ means many, hence, polygon means a ‘many sided figure’. Some examples of polygon are: Some examples of none polygons are:
  • 3. Some polygons have special names that correspond to the number of sides in the polygon SIDES NAME FIGURE 3 TRIANGLE 4 QUADRILATERAL 5 PENTAGON 6 HEXAGON 7 HEPTAGON 8 OCTAGON 9 NONAGON 10 DECAGON 11 HENDECAGON 12 DODECAGON
  • 4. TYPES OF POLYGONS 1. CONVEX POLYGON: in a polygon, if the line joining any two points lies inside the polygon, then the polygon is a convex polygon. 2. CONCAVE POLYGON: In a polygon, if there exists even one line, which when joining two points of a polygon, does not lie inside the polygon, then the polygon is a concave polygon.
  • 5. 3. REGULAR POLYGON: A polygon in which all the sides and all the angles are equal is known as regular polygon.
  • 6. 4. IRREGULAR POLYGON: The polygons that are not regular are called irregular polygons.
  • 8. Properties parallelogram rectangle rhombus square Sides: opposite sides are equal adjacent sides are equal opposite sides are parallel Angles: opposite angles are equal adjacent angles are equal all angles are right angles Diagonals: diagonals are equal diagonals bisect each other diagonals bisect each other at right angles