Question

Can we draw a quadrilateral uniquely with the following data? Suppose that, PQRS is the quadrilateral with PQ = 4 cm, $\angle P$ = ${80}^{\circ }$, $\angle Q$ = ${105}^{\circ }$, $\angle R$ = ${80}^{\circ }$.

• A. We can uniquely construct a quadrilateral
• B. We can construct a quadrilateral but not uniquely
• C. Yes
• D. No

Answer 1

The correct option is D No

The measure of three angles and a side is given. If one adjacent side is given, we can construct a quadrilateral.

So, if we have one more side, we can construct a quadrilateral uniquely.