Problem: Geometry & Hybridization

Determine the geometry of the atom indicated with the arrow and state its atomic orbital hybridization.

Analysis

We must first translate this picture into a complete structure, taking into account the "shortcuts" involved in the bond-line structure shown. This involves several steps to remember: Given this, the carbon atom to which the arrow points is shown having three bonds: a single bond to the oxygen, and a double bond to the carbon on the other side. The missing 4th bond must be to hydrogen.

A full representation is shown below.

Now, we have to predict the geometry of that carbon. Carbon in most compounds will have only three possibilities: tetrahedral, trigonal planar and linear. Since it is connected to 3 other atoms (one O, one C and the H--disregard multiple bonds), it must be trigonal planar. This also provides us the atomic orbital hybridization: trigonal planar carbon is sp2 hybridized; the unhybridized p orbital is used to make the multiple (π) bond.
Draw the molecule below and look at the 3-D structure.