Question

If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, how many distinct quadrilaterals can we construct?

• A. 1

Answer 1

The correct option is A 1

• 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.

So, we can make 1 unique quadrilateral if we have 4 sides and 1 diagonal.