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?

We cannot construct a distinct quadrilateral.

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We can construct a distinct quadrilateral.

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The quadrilateral will always be a square.

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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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