Based on the angle-angle similarity theorem, the piece of additional information can be used to prove ΔCEA ≅ ΔCDB is: A. ∠BDC and ∠AED are right angles.
What is the Angle-angle Similarity Theorem?
Based on the angle-angle similarity theorem, if two triangles have two pairs of corresponding angles that are congruent, then both triangles are similar.
In the diagram given, we can establish that the two triangles have one pair of congruent angles, ∠CEA ≅ ∠CDB.
Thus, an additional information that is needed to prove that both triangles are similar is: A. ∠BDC and ∠AED are right angles.
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