Question

How many measurements are needed to construct a trapezium?

Answer 1

Answer:

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ANSWER :

Five measurements can determine a quadrilateral uniquely. A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given. A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given.

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Answer 2

Answer:

A minimum of four independent measurements are needed to construct a trapezium.

Step-by-step explanation:

• A trapezoid or trapezium is a quadrilateral with a minimum of one pair of parallel sides.
• A trapezium is a convex quadrilateral by definition in Euclidean geometry.
• The sides that are parallel to each other serve as the trapezium's bases.
• To build a trapezium, at least four independent measurements are required.
• The trapezium is categorised into three types:

1. Isosceles Trapezium
2. Scalene Trapezium
3. Right Trapezium

• The following are some of a trapezium's key characteristics:

1. In a trapezium, one set of opposite sides is parallel to the other.
2. With the exception of the isosceles trapezium, the diagonals cross each other, and the sides that are not parallel to each other are uneven in a trapezium.
3. The line connecting the non-parallel sides' midpoints is always perpendicular to their bases, which is equal to half of the total number of parallel sides.

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