SOLUTION: Complete the proof. Given: ∠DCE≅∠CDE≅∠DEC; ∠CDB≅∠CBD Prove: BC≅DE a. DE≅EC≅CD because ___? b. BC&#877

Algebra ->  Geometry-proofs -> SOLUTION: Complete the proof. Given: ∠DCE≅∠CDE≅∠DEC; ∠CDB≅∠CBD Prove: BC≅DE a. DE≅EC≅CD because ___? b. BC&#877      Log On


   

Question 777978: Complete the proof.
Given: ∠DCE≅∠CDE≅∠DEC; ∠CDB≅∠CBD
Prove: BC≅DE
a. DE≅EC≅CD because ___?
b. BC≅DC because ___?
c. ∴ BC≅DE because ___?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the proof.
Given: ∠DCE≅∠CDE≅∠DEC; ∠CDB≅∠CBD
Prove: BC≅DE
a. DE≅EC≅CD because __CPCTC__
b. BC≅DC because __CPCTC__
c. ∴ BC≅DE because __Substitution Property__

Note: CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent"