Rectilinear Figures


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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.

Question and Answers

Question and Answers 1



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