How to copy an object to the exact same position across a guide?

Question

I want to create a steering wheel, similiar to this:

So I have started with the outer circle and given it a wide stroke, I am now on the middle bit. I have the following:

Can someone please tell me how I can move that bottom-right circle to be in the exact position on the left across the guide I have running through the center of the circle?

Any help on how to achieve this would be greatly appreciated.

Thank you.

Answer 1

1. Select the oval with the Move tool (V).
2. Choose the Reflect tool (O, might be hidden under the Rotate tool in the toolbox).
3. Press and hold Left Alt to have three dots show up with your reflect cursor.
4. While still holding, click your vertical axis/guide. Enabling Smart Guides (Control/Option+U or View > Smart Guides) may help getting your click location exactly right.
5. In the dialog that pops up, choose Vertical for the axis and click Copy rather than OK.

Answer 2

Lock everything except the oval you want to move.

Draw a box on the right-hand side which aligns to your three guides.

Group the box and the oval.

Flip a copy of it vertically (I think — I always screw up the axis) so that the left side of the square, the one along the center axis, stays on the center guide going through the center of the steering wheel.

Ungroup both boxes and ovals and delete the guide boxes.

ETA pictures: Although Bakabaka's answer is much better