State true or false:

Every trapezium is a square.

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True

False

answer is B.

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Detailed Solution

Given a statement, every square is a trapezium.
We need to find whether the given statement is true or false.
A square is a special parallelogram in which all the sides are equal in length and all the interior angles are right angles.
Next, for a square, the diagonals intersect each other at right angles.
As far as a trapezium is concerned, it has exactly one pair of opposite sides parallel, while the remaining two sides are non-parallel.
So, we can say that a trapezium can never have all the interior angles as right angles.
Also, the diagonals will never intersect at right angles in case of a trapezium.
Thus, we conclude that a trapezium can never be a square as a trapezium does not fulfill the necessary condition of being a parallelogram, i.e., both pairs of opposite sides being parallel.
Hence, the given statement is false.
Hence, the correct option is (2).

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