J.R. S. answered 03/14/25
Ph.D. University Professor with 10+ years Tutoring Experience
The answer given as tetrahedral is correct. The answer to how do you know the molecular geometry of methane requires further explanation.
Once you have the Lewis structure with C in the center with 4 H atoms bonded singly, you then see that there are 4 bonding pairs of electrons and no lone pairs of electrons on the central atom. This allows the H atoms to be separated from each other by the largest difference if they adopt a tetrahedral shape. This is most desirable since it leads to the most stable situation. In general chemistry, they usually provide you with a table of number of bonding pairs of electrons along with lone pairs on the central atom, and the table then tells you what the molecular geometry will be.