Construction of Quadrilaterals - II

A quadrilateral is a polygon with four sides.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

Rectangle is a quadrilateral having four right angles.

Rhombus is a quadrilateral with all sides equal in length.

Square is a quadrilateral with all sides equal in length and all angles of equal measure each 90°.

A parallelogram can be constructed uniquely if

    two consecutive sides and included angle are given.

    one side and both the diagonals are given.

    two consecutive sides and one diagonal are given.

    two diagonals and included angle are given.

    two adjacent sides and height are given.

    When two adjacent sides and three angles are given.

A trapezium can be constructed when four sides are given.

Some special cases:

    Construction of a square when one of the sides is given.

    Construction of a rhombus when the lengths of two diagonals are given.

    Construction of a rectangle when two adjacent sides are given.

Mathematical constructions have many applications in our real life. The most common application is in designing in the construction industry.

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