Which piece of additional information can be used to prove cea ~ cdb?

Option A is correct that is Required additional information is ∠BDC and ∠AED are right angles.

Step-by-step explanation:

We need to find an additional information used to to prove ΔCEA ~ ΔCDB

In ΔCEA and  ΔCDB

    ∠ACE = ∠BCD  ( common angle in both triangle )

if,  ∠AEC = ∠BDC  ( both are right angles )

then ΔCEA ~ ΔCDB by AA similarity criteria.

Therefore, Option A is correct that is Required additional information is ∠BDC and ∠AED are right angles.  

this is false ^.^ lol