The order of rotational symmetry of a figure is 4 and the angle of rotation is 180° only. Is the given statement true or false?

Solution:

Let us consider the figure

If the given figure is rotated about 90° the shape remains the same.

So the angle of rotation is 90°

By rotating 90°, i.e. 4 times, on each turn the shape remains the same and returns back to its original position.

So the order of rotational symmetry is 4.

Therefore, the statement is false.

✦ Try This: The order of rotational symmetry of a figure is 5 and the angle of rotation is 240° only. Is the given statement true or false?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 10

NCERT Exemplar Class 7 Maths Chapter 12 Problem 85

The order of rotational symmetry of a figure is 4 and the angle of rotation is 180° only. Is the given statement true or false?

Summary:

The statement “The order of rotational symmetry of a figure is 4 and the angle of rotation is 180° only” is false.

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