Choose whether given statement is true or false:

Every trapezium is a rectangle.

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True

False

answer is B.

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Detailed Solution

The given statement is that every trapezium is a rectangle.
We know trapezium is a type of quadrilateral, that has only two parallel sides and the other two sides are non-parallel. Also, in a trapezium all angles are not equal.
Question Image

Also, we know in a rectangle opposite sides are equal and parallel and also all angles are right angles. Also, the diagonals of the rectangle are equal.
We can see this in figure of rectangle WXYZ,

W X = Y Z W X | | Y Z W Y = X Z W Y | | X Z ∠ W = ∠ X = ∠ Y = ∠ Z = 90 ° X Y = W Z

As, the opposite sides are equal and parallel in a trapezium as a rectangle.
Thus the statement is false, every trapezium is not a rectangle.
Hence, option 2 is correct.

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