Geometry A conjecture and the flowchart proof used to prove the conjecture are shown.
2 answers:
<h2>Answer with explanation:</h2>
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:
- Line segment AB is parallel to line segment CD.
- and line segment AD is parallel to line segment BC.
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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