Question

To construct a trapezium ABCD with $AB\parallel CD,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and $\angle ABC={70}^{\circ }.$
Which other measure will help complete the construction?

• A. $\angle DAB$
• B. AE, the altitude from the point A onto CD.
• C. CM, the altitude from the point C onto AB.
• D. We need at least two more measures to uniquely construct this trapezium.

Answer 1

The correct option is A $\angle DAB$

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.