Geometry a conjecture and the flowchart proof used to prove the conjecture are shown.

We are asked to complete the given flowchart with the help of the choices provided to us.

We are given that ABCD is a parallelogram.

Hence, by the definition of parallelogram we have that:

Also, we are given that:

∠3≅∠2

and ∠1≅∠3 by the property that corresponding angles are congruent.

Hence, we have that:

∠1≅∠2  ( By the transitive property of congruence

i.e. a≅b and b≅c ⇒ a≅c )

Hence, line segment DC bisects ∠ADE. (By the definition of bisect)

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