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Question
Suppose you are given the lengths of all 4 sides and the sides which are parallel are specified, how many trapeziums can you draw?
Suppose you are given the lengths of all 4 sides and the sides which are parallel are specified, how many trapeziums can you draw?
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Solution
The correct option is A 1
To construct a trapezium, draw one of its parallel sides as a base. On that base, construct a triangle with the two more measurements. Now, through the vertex of that triangle, construct the parallel line opposite to the base so that the triangle lies between the parallel sides. The fourth vertex lies
on this parallel line. Mark it with the remaining measure. Thus, we need four independent measurements to construct a trapezium.
i.e., With four sides given and the parallel sides specified, only one trapezium would satisfy the constraints.
To construct a trapezium, draw one of its parallel sides as a base. On that base, construct a triangle with the two more measurements. Now, through the vertex of that triangle, construct the parallel line opposite to the base so that the triangle lies between the parallel sides. The fourth vertex lies
on this parallel line. Mark it with the remaining measure. Thus, we need four independent measurements to construct a trapezium.
i.e., With four sides given and the parallel sides specified, only one trapezium would satisfy the constraints.
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