Question

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

∠BDC and ∠AED are right angles
AE ≅ ED
△BDC is a right triangle
∠DBC ≅ ∠DCB

Answer 1

I think it's A. ∠BDC and ∠AED are right angles

Explanation:

I hope this helps.

Answer 2

∠BDC and ∠AED are right angles

Explanation:

Because ∠C ≅ ∠C, the additional bit of information above can be used to show AA similarity.

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None of the other offered choices says anything about both triangles. In order to show similarity, you need information about corresponding parts of the two triangles. Information about one triangle alone is not sufficient.