Question

geometry

A conjecture and the flowchart proof used to prove the conjecture are shown.

Answer 1

Definiton of parallelogram- Transitive Property of congruence.

Given- Definition of bisect.

1 ~ 2- 3 ~ 2

DC bisects ADE- AD is parallel to BC

Answer 2

Answer with explanation:

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)