Question

A quadrilateral can be constructed uniquely if its three sides and __________ angles are given.

Answer 1

Five measurements can determine a quadrilateral uniquely.

Five measurements can be four sides one angle or three sides and two included angles or two sides and three angles

A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given. A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given.

Thus, if five measurements are given, then a quadrilateral is constructed uniquely.

Hence, A quadrilateral can be constructed uniquely if its three sides and two angles are given.