Question

Using CPCTC-Given: AD= BC and BCD -ZADC
Prove: DE = CE

Answer 1

To prove that DE = CE, we can use the CPCTC (corresponding parts of congruent triangles are congruent) theorem. Given that AD = BC and ∠BCD = ∠ZADC, we can conclude that △BDC ≅ △CDA. Using CPCTC, we know that DE = CE because the corresponding parts of congruent triangles are congruent. Therefore, we have proved that DE = CE.

Step-by-step explanation:

To prove that DE = CE, we can use the CPCTC (corresponding parts of congruent triangles are congruent) theorem. Given that AD = BC and ∠BCD = ∠ZADC, we can conclude that △BDC ≅ △CDA.

Using CPCTC, we know that DE = CE because the corresponding parts of congruent triangles are congruent.

Therefore, we have proved that DE = CE.