Q2. We used some five measurements to draw quadrilaterals so far. Can there be different sets of five measurements (other than seen so far) to draw a quadrilateral? The following problems may help you in answering the question.
(i) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and .
(ii) Quadrilateral PQRS with PQ = 4.5 cm, , ,
and .
Construct a few more examples of your own to find sufficiency/insufficiency of the
data for the construction of a quadrilateral.
Yes, there can be other sets of five measurements to draw a quadrilateral.
Examples:
(i) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and . (GIVEN)
(All 4 sides and 1 angle)
(ii) Quadrilateral PQRS having PQ = 4.5 cm, , ,
and .
(1 side, all 4 angles)
(iii) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, CD = 4 cm, BD = 8 cm (Included angle diagonal) and .
(3 sides, 1 included angle, and included angle diagonal)
(iv) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, BD = 8 cm , and
(2 sides, 2 angles (1 included), and included angle diagonal).
There can be plenty of other examples.