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:1Answer:
Rhombus
Explanation:
In a rhombus, all sides are equal and a pair of opposite sides are parallel.

Q2
In a quadrilateral PQRS, if P= 60°, Q = 75°, and R = 120°, then S is
Marks:1Answer:
105°.
Explanation:
In a quadrilateral the sum of measures of angle is 360°.
So, S=360°  (60°+75°+120°)=105° 
Q3
A quadrilateral has
Marks:1Answer:
10 elements
Explanation:
A quadrilateral has four sides, four angles and two diagonals, i.e., 10 elements.

Q4
To construct a quadrilateral if the two adjacent sides are given, still there is a need for measurement of
Marks:1Answer:
three angles.
Explanation:
Adjacent sides and the three angles are required for construction of a quadrilateral.

Q5
For the construction of a quadrilateral it is sufficient to know the measurement of
Marks:1Answer:
Three sides and two diagonals
Explanation:
For construction of a quadrilateral, we need measurement of five parts.