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Yes- sigma bonds are always single bonds. So, in a double bond there will be 1 sigma bond and 1 pi bond, and in a triple bond there will be 1 sigma bond and 2 pi bonds. I don't believe we will have to draw this, but basically in a sigma bond the orbitals overlap end-to-end and in a pi bond they overlap side-by-side (which explains why pi bond prevents rotation).
When drawing the bonds, make sure to emphasize the overlap between the orbitals. The pi bond will be side to side, which is why these bonds lock two molecules into place as opposed to sigma bonds which are side to side and allow molecules to rotate.
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