Determine the hybridization and geometry around the indicated carbon atoms.

Atom A :  sp³ hybridized  and Tetrahedral  

Atom B :   sp² hybridized  and Trigonal planar

Atom C :   sp² hybridized  and Linear

Hybridization is the combination of atomic orbitals to create a new ( hybrid ) orbital which enables the pairing of electrons for the formation of chemical bonds.

The hybridization of Atom A (  in the image attached is sp³ hybridized  and Tetrahedral around carbon atoms bonded to it.

The hybridization of Atom B is sp² hybridized and Trigonal planar around carbon atoms bonded to it.

Hence we can conclude that Atom A : sp³ hybridized  and Tetrahedral  

Atom B : sp² hybridized  and Trigonal planar

Atom C :  sp² hybridized  and Linear .

Learn more : link

attached below is the missing data related to your question

Atom A has SP3 Hybridization and tetrahedral geometry around the indicated carbon atoms.

Atom B has SP2 Hybridization and planar trigonal geometry around the indicated carbon atoms.

Atom C has SP2 Hybridization and linear geometry around the indicated carbon atoms.

Explanation: