Construction of a Quadrilateral in Different Situations
If the measur...
Question
If the measure of sides of a quadrilateral are given as AB = 7cm, AD = 5 cm and BD = 10 cm. Can you draw a quadrilateral ABCD?
A
Yes
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B
No
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C
Yes, if BC is given.
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D
Yes, if BC and CD is given.
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Solution
The correct option is D Yes, if BC and CD is given. We cannot draw a unique quadrilateral with the measurements given.
With the measurements given we can draw a triangle ABD. If the lengths BC and CD are given, we can construct the quadrilateral. When 4 sides, 1 diagonal is given, we can construct a aquadrilateral.
Suppose, if BC = 8 cm and CD = 6 cm, we can construct a quadrilateral as follows.