CB ≅ CD (corresponding sides of congruent ∆s)
What are congruent triangles?
Congruent triangles have equal corresponding sides and angles, ensuring they are identical in shape and size when superimposed.
When two triangles have been proven congruent, it means that their corresponding sides and angles are equal. In terms of sides, this implies that the corresponding sides of the congruent triangles are of equal length.
AD ≅ ED (Given)
∠A ≅ ∠E (Given)
∠C ≅ ∠C(Reflective property of congruce)
∆ACD ≅ ∆ECB(Angle -Angle-Side ASA)
CB ≅ CD (corresponding sides of congruent ∆s)
Therefore, the congruence of the CB and CD has been proven.