Question

To construct a trapezium ABCD with $AB\parallel CD,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and CD = 5.9 cm.
Which other measure will help complete the construction?

• A. AD
• B. DB
• C. Altitude AE of ABCD
• D. $\angle ABC$

Answer 1

Answer: (A), (B), (D)

The correct options are
A AD
B DB
D $\angle ABC$

To construct a trapezium, we need four independent measurements to construct a trapezium.
A trapezium can be uniquely constructed given the following measurements:
1) three sides and one diagonal
2) three sides and one angle
3) two sides and two angles
4) four sides
AD is the fourth side of the trapezium, DB is the diagonal and $\angle ABC$ is an angle of the trapezium.
Thus, these are the correct options.