Question

Select all figures with 180 degree rotational symmetry.

Answer 1

Answer: b, c and e.

Step-by-step explanation:

180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.

Now, let's suppose we have a figure with an odd number of sides.

We can draw that figure such that we have a side pointing down, and a vertex pointing up.

Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.

Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.

Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.

Then the correct options are the ones with an even number of sides:

b, c and e.