### All SAT II Math II Resources

## Example Questions

### Example Question #131 : Geometry

Which of the following symmetries applies to the graph of the relation

?

I) Symmetry with respect to the origin

II) Symmetry with respect to the -axis

III) Symmetry with respect to the -axis

**Possible Answers:**

I, II, and III

None of these

II only

I only

III only

**Correct answer:**

II only

Explanation:

The relation

is a circle with center and radius .

In other words, it is a circle with center at the origin, translated right units and up units.

or

is a circle translated right 4 units and up zero units. The upshot is that the circle moves along the -axis only, and therefore is symmetric with respect to the -axis, but not the -axis. Also, as a consequence, it is not symmetric with respect to the origin.

Ivan

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Pennsylvania State University-Main Campus, Bachelor of Engineering, Computer Science.

Julia

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Universidad de Buenos Aires, Bachelor of Science, Applied Mathematics. Stanford University and Columbia University, Doctor of...