Describe Types of Symmetry

See attachment.

Let me see.

I see the following symmetries:

(-1, 0), (1, 0) or x = -1, x = 1

(0, 1), (0, -1) or y = 1, y = -1

Correct?

 

(-1, 0), (1, 0) are endpoints of one line segment which is a diameter of the circle
(0, 1), (0, -1) are endpoints of other line segment which is a diameter of the circle
answer should be: A circle is symmetric about its diameter.
note:
A circle has rotational symmetry. If any object has at least one line of symmetry, then it is said to be symmetrical. A circle is symmetric about its diameter.

 

So the answer is not so simple.