State true or false: Every rhombus 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 rhombus is a trapezium or not.
So, we will analyze the properties of both rhombus and trapezium and accordingly state if the statement is true or not.
So, if we consider a rhombus, it is a special parallelogram in which all the side lengths are equal and the diagonals are at right angles to each other.
But, in case of a trapezium, no two sides are equal, and the diagonals do not intersect each other at right angles.
Also, as a rhombus is a parallelogram, so its opposite sides are parallel, but in a trapezium, exactly one pair of opposite sides are parallel.
Based on these contrasts between a rhombus and a trapezium, we conclude that a rhombus can never be a trapezium.
Hence, the given statement is false.
Hence, the correct option is (2).

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