Does this figure have rotational symmetry? a) no, a square cannot be rotated. b) yes, the figure can be rotated 90°. c) yes, the figure can be rotated 180°. d) no, no matter how it is rotated it will look different.

C) Yes, the figure can be rotated 180°.

Step-by-step explanation:

Here,the given figure is a rectangle, and we know that a rectangle has order of rotational symmetry of 2.

The 180° and 360° rotations will map it onto itself.

So, from the given options, the right answer is C) Yes, the figure can be rotated 180°.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: