Points c and d are equidistant from point a. complete the following table to prove that aec≅ aed statement reason 1. ad ≅ 2. cae ≅ ae is the 3. ae ≅ 4. ead ≅

To prove that AEC≅ AED, we need to write following proofs or statement reasons.

It is given that points C and D are equidistant to point A. Hence,
AD ≅ AC

Next, CAE ≅ DAE. AE is the common side or the included side. 

Then, AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.

Lastly, EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.

Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.