Answer:
The correct option is D.
Step-by-step explanation:
Given information: △ABC≅△ECD.
The corresponding parts of congruent triangles are congruent.
The congruent angles are :
[tex]\angle A\cong \angle E[/tex]
[tex]\angle B\cong \angle C[/tex]
[tex]\angle C\cong \angle D[/tex]
[tex]\triangle BCA\cong \triangle CDE[/tex]
Option A is incorrect.
[tex]\triangle CAB\cong \triangle DEC[/tex]
Option B is incorrect.
The congruent sides are :
[tex]BC\cong CD[/tex]
Option C is incorrect.
[tex]AC\cong ED[/tex]
[tex]AB\cong EC[/tex]
It can also written as
[tex]AB\cong CE[/tex] [tex][\because EC=CE,\text{Reflective Property}][/tex]
Therefore the correct option is D.
