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Just so, what is the correct way to wear a graduation cap?

The correct angle of the graduation cap would be where the front tip of the mortarboard appears dead center on your forehead, between your eyes. The elastic band and tag should be centered on the back of the head. Do not tilt cap back, it should sit directly on top of your head.

where do graduation pins go? There's only one golden rule for lapel pins: To wear them approximately where the lapel buttonhole is or would be. That's the upper part of the left lapel. Some double-breasted suits have these buttonholes on both lapels, but lapel pins should always go on the left-hand side.

Similarly one may ask, which way does the tassel go on a graduation cap?

Graduation tassels go on the right side of your cap before you graduate. In some schools, you move the tassel over to the left after you shake the hand of the person who grants your diploma.

Do you move the tassel from left to right?

Once you receive your diploma, depending on your school, you may move your graduation tassel from the right side to the left. Tassels first begin on the right side of your cap and upon receiving your degree or following instruction from the ceremonial speaker, the graduation tassel will be moved to the left.