Question

To construct a trapezium PQRS with $PQ\parallel RS,$ the following measurements are given:
PQ = 8 cm, QR = 9 cm and $\angle PQR={60}^{\circ }.$
Which other measure will help complete the construction?

• A. PA, the altitude from the point P onto RS.
• B. RB, the altitude from the point R onto PQ.
• C. We need at least two more measures to uniquely construct this trapezium.
• D. $\angle SPQ$

Answer 1

The correct option is D $\angle SPQ$

To construct a trapezium, we need four independent measurements to construct a trapezium.
We are already given two sides and one angle of the trapezium. Giving the measure of one more angle, will help us uniquely complete the trapezium.