State true or false. Every rectangle is a trapezium.

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True

False

answer is B.

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Detailed Solution

Here, we have to state if every rectangle is a trapezium or not.
So, we will first analyze the properties of both trapezium and rectangle.
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So, a rectangle is a special parallelogram in which all the interior angles are right angles.
Next, a trapezium is a quadrilateral in which exactly one pair of opposite sides are parallel, but no sides or angles are equal.
But, in the case of a rectangle, the necessary condition is that both of its opposite side pairs must be equal and parallel.
So, this condition is not fulfilled by a trapezium.
Thus, we conclude that all rectangles can never be trapezium.
Hence, the given statement is false.
Hence, the correct option is (2).

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