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Subject  >  Math  >  Geometry  >  Rectilinear Figures

Rectilinear Figures

Introduction
       Rectilinear Figure : A plane figure bounded by straight lines is called a rectilinear figure.
Theorem1
       In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles.
Quadrilaterals
      A quadrilateral is a polygon having 4 sides. ABCD is a quadrilateral and AC and BD are its diagonals.
Theorem2
      The opposite sides and angles of a parallelogram are equal.
Theorem3
      The diagonals of a parallelogram bisect each other.
Theorem4
      If a pair of opposite sides of a quadrilateral is equal and parallel, it is a parallelogram.
Theorem5
      A rhombus is a parallelogram whose diagonals meet at right angles.
Construction of Special types of Quadrilaterals
      (a) Two sides and an angle are given. (b) Diagonals and the angle included by them are given.
Construction of Special types of Quadrilaterals (cont..)
      (a) Construction of a Regular Hexagon. (b) Construction of a Regular Pentagon.
Summary
       If the sides of a convex polygon are produced, in order, the sum of the exterior angles is 4 right angles.
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Rectilinear Figures
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