Question

Which statements are true regarding the rotational symmetry of the shape of a cross? Select three options.

The order of rotational symmetry is 2.

The shape directly maps onto itself after a rotation of 270 degrees.

The smallest angle of rotational symmetry is 90 degrees.

The shape directly maps onto itself after a rotation of 120degrees.

The shape directly maps onto itself after a rotation of 180degrees.

Answer 1

2,3,5 on edge

Explanation:

Took test

Answer 2

The correct options are;

1) The shape maps unto itself after a rotation of 270 degrees

2) The smallest angle of rotational symmetry is 90 degrees

3) The shape maps unto itself after a rotation of 180 degrees

Explanation:

We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;

After rotation by 90 degrees, the vertical member will become horizontal and vice versa

After rotation by 180 degrees, the vertical member will become horizontal and vice versa again

Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical