Select all the figures with a 180-degree rotation symmetry.

The figures with a 180° rotation symmetry is B C and E.

The figures having 180 degree rotation symmetry are figure B , figure C and figure E.

Some figures are given in the question.

We have to find out which of the given figures have 180 degree rotation symmetry.

What do you mean by rotational symmetry ?

Rotational symmetry is defined as the property a shape has when it looks the same after some no. of rotations.

As per the question ;

We have to check which of given figures have rotational symmetry.

We know that ;

For a shape to have a rotational symmetry, the following must be true ;

If we check according to the above conditions ;

Figures (A) and (D) don't meet the conditions.

However, the above conditions are true for figures (B), (C) and (E).

This is because a rectangle , a square and a regular hexagon has equal & parallel opposite sides; and also even number of sides.

Thus , the figures having 180 degree rotation symmetry are figure B , figure C and figure E.

To learn more about rotational symmetry click here ;

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g(x) = 3x + 1
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