Question

Which piece of additional information can be used to prove CEA ~ CDB?

Answer 1

I think the answer to your question is A, hope this helps

Answer 2

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

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.