Construction of Quadrilaterals - I

A quadrilateral is a polygon with four sides.

A quadrilateral can be constructed uniquely if

    four sides and one diagonal are given.

    three sides and two diagonals are given.

    two adjacent sides and three angles are given.

    three sides and two included angles are given.

    four sides and one angle are given.

    three sides and two consecutive angles 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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  • Q1

    I am a quadrilateral. I have two pairs of parallel sides and all of my sides are equal, but I have no right angles. I am a

    Marks:1
    Answer:

    Rhombus

    Explanation:

    In a rhombus, all sides are equal and a pair of opposite sides are parallel.

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  • Q2

    In a quadrilateral PQRS, if P= 60°, Q = 75°, and R = 120°, then S is

    Marks:1
    Answer:

    105°.

    Explanation:

    In a quadrilateral the sum of measures of angle is 360°.
    So, S=360° - (60°+75°+120°)=105°

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  • Q3

    A quadrilateral has

    Marks:1
    Answer:

    10 elements

    Explanation:

    A quadrilateral has four sides, four angles and two diagonals, i.e., 10 elements.

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  • Q4

    To construct a quadrilateral if the two adjacent sides are given, still there is a need for measurement of

    Marks:1
    Answer:

    three angles.

    Explanation:

    Adjacent sides and the three angles are required for construction of a quadrilateral.

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  • Q5

    For the construction of a quadrilateral it is sufficient to know the measurement of

    Marks:1
    Answer:

    Three sides and two diagonals

    Explanation:

    For construction of a quadrilateral, we need measurement of five parts.

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