To construct a trapezium ABCD with $A B ∥ C D,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and CD = 5.9 cm.
Which other measure will not help complete the construction?

∠ A B C

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Altitude AE of ABCD

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Solution

The correct option is D Altitude AE of ABCD
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 $∠ A B C$ is an angle of the trapezium.
Thus, these are the correct options.

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To construct a trapezium ABCD with AB∥CD, the following measurements are given: AB = 5.5 cm, BC = 4.9 cm and CD = 5.9 cm. Which other measure will not help complete the construction?

To construct a trapezium ABCD with $A B ∥ C D,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and CD = 5.9 cm.
Which other measure will not help complete the construction?