State whether the following statement is true or false.

Trapezium has only line symmetry but not a rotational symmetry of order more than 1.

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True

False

answer is A.

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Detailed Solution

Here, we have to find the both rotational and line symmetry of a trapezium.
In a trapezium, there is only one symmetric line as shown below.
Question Image

This line indicates that the above trapezium has an order of line symmetry =1.
Also, when a trapezium is rotated through the angle of

360 °,

It appears to be the same as the rotational figure, so we can say that it has rotational symmetry of order 1.
Question Image

So, a trapezium has only one line symmetry and no rotational symmetry of a higher order than one.
Therefore, the given statement is true.
Hence, option (1) is correct.

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