Question

# If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, then which of the following statements is correct?

A

We cannot construct a distinct quadrilateral.

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B

We can construct a distinct quadrilateral.

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C
The quadrilateral will always be a square.
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D
None of these.
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Solution

## The correct option is B We can construct a distinct quadrilateral. When all four sides and one diagonal of a quadrilateral are given, it can be viewed as two triangles whose all three sides are known. A triangle with a given set of sides is always distinct. Two distinct triangles will hence make a unique quadrilateral.

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