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

∠BDC and ∠AED are right angles.

Reason: If ∠AED and ∠BDC are both 90°, then ∠AED = ∠BDC, and the two triangles also share ∠C. Thus the two triangles have two equal angles (AA), so △CEA ~ △CDB.