Polygons

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Polygons

  1. 1. Polygons A simple closed curve made up of only line segments is called a Polygon . Curves that are polygon Curves that are not polygon
  2. 2. Classification of polygons Number of sides or vertices Classification 3 Triangle 4 Quadrilateral 5 Pentagon Sample figure
  3. 3. 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon n n-gon
  4. 4. Diagonals A diagonal is a line segment connecting two non - consecutive vertices of a polygon .
  5. 5. Convex and concave polygons Polygons that have no portions of their diagonals in their exteriors are convex polygons . Convex polygons
  6. 6. Polygons that have portions of their diagonals in their exterior are concave polygons . Concave polygons
  7. 7. Regular and irregular polygons Polygons that have all sides equal are regular polygons . Regular polygons
  8. 8. Polygons that have sides unequal are irregular polygons . Irregular polygons
  9. 9. Quadrilaterals and their properties Quadrilateral Parallelogram : A quadrilateral with each pair of opposite sides parallel . Properties (1) Opposite sides are equal . (2) Opposite angles are equal . (3) Diagonals bisect one another .
  10. 10. Rhombus : A parallelogram with sides of equal length . (1) All the properties of a parallelogram . Rectangle : A parallelogram with a right angle . (1) All the properties of a parallelogram . (2) Diagonals are perpendicular to each other . (2) Each of the angles is a right angle . (3) Diagonals are equal .
  11. 11. Square : A rectangle with sides of equal length . Kite : A quadrilateral with exactly two pairs of equal consecutive sides. D (1) All the properties of a parallelogram , rhombus and a rectangle . (1) The diagonals are perpendicular to one another . (2) One of diagonals bisects the other . (3) In the figure C A B m A= m But m B= C. m D
  12. 12. MADE BY Ankit Aharwal 8th….

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