To construct a trapezium ABCD with AB - CD- the following measurements are given-AB - 5-5 cm- BC - 4-9 cm and - ABC-70-Which other measure will help complete the construction-

To construct a trapezium, we need four independent measurements to construct a trapezium. nbsp; We are already given two sides and one angle of the trapezium. ...

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Standard VIII

Mathematics

Construction of Trapeziums

To construct ...

Question

To construct a trapezium ABCD with $A B ∥ C D,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and $∠ A B C = 70^{\circ} .$
Which other measure will help complete the construction?

∠ D A B

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AE, the altitude from the point A onto CD.

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CM, the altitude from the point C onto AB.

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We need at least two more measures to uniquely construct this trapezium.

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Solution

The correct option is A $∠ D A B$
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.

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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 ∠ABC=70∘. Which other measure will help complete the construction?

The correct option is A ∠DABTo 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.

To construct a trapezium ABCD with $A B ∥ C D,$ the following measurements are given:
AB = 5.5 cm, BC = 4.9 cm and $∠ A B C = 70^{\circ} .$
Which other measure will help complete the construction?

The correct option is A $∠ D A B$
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.