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