Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1) \, \Delta ABC \text{ is isosceles with } AC = BC[/tex] Given
[tex]\displaystyle 2) \, CE = CD[/tex] Given
[tex]\displaystyle 3)\, \angle ACE \cong \angle BCD[/tex] Vert. Angles Are Cong.
[tex]\displaystyle 4) \, \Delta ACE \cong \Delta BCD[/tex] SAS Congruence
[tex]\displaystyle 5)\, AE \cong BD[/tex] CPCTC
