Why is the hybridization sp instead of sp2 with double bonds on both sides?

[cathy]

Homework Statement

http://img42.com/ASivg
Please look at this image.
2. The attempt at a solution

Hello, I was looking at this image. Why is the top image sp? Shouldn't it be sp2 because there are double bonds on both sides? I understand the rest. Please advise, any help would be appreciated.
Thank you.

 

[hav0c]

The carbon you referred to has 2 double bonds,1 on either side. To make 2 double bonds carbon requires 2 p orbitals...
This is similar to the case of the triple bond..

 

[cathy]

Got it :) Thanks