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  • 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

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 \angle B = 80\degree.

(ii) Quadrilateral PQRS with PQ = 4.5 cm, \angle P = 70\degree, \angle Q = 100\degree, \angle R = 80\degree
and \angle S = 110\degree.

Construct a few more examples of your own to find sufficiency/insufficiency of the
data for the construction of a quadrilateral.

Answers (1)

best_answer

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 \angle B = 80\degree.  (GIVEN)

            (All 4 sides and 1 angle)

(ii) Quadrilateral PQRS having PQ = 4.5 cm, \angle P = 70\degree, \angle Q = 100\degree, \angle R = 80\degree
and \angle S = 110\degree.

            (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 \angle B = 80\degree.

            (3 sides, 1 included angle, and included angle diagonal)

(iv) Quadrilateral ABCD with AB = 5 cm, BC = 5.5 cm, BD = 8 cm ,\angle B = 80\degree and \angle C = 95\degree

            (2 sides, 2 angles (1 included), and included angle diagonal).

There can be plenty of other examples.

Posted by

HARSH KANKARIA

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