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.
• B. We can construct a distinct quadrilateral.
• C. The quadrilateral will always be a square.
• D. None of these.

Answer 1

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.