Question

Please someone help me with this math question.

Answer 1

See Below.

Explanation:

We can write a two-column proof.

Statements: Reasons:

`\displaystyle 1) \, \Delta ABC \text{ is isosceles with } AC = BC` Given

`\displaystyle 2) \, CE = CD` Given

`\displaystyle 3)\, \angle ACE \cong \angle BCD` Vert. Angles Are Cong.

`\displaystyle 4) \, \Delta ACE \cong \Delta BCD` SAS Congruence

`\displaystyle 5)\, AE \cong BD` CPCTC