Question

Please help fast

Answer 1

Answer:

  B:  II, IV, I, III

Step-by-step explanation:

We believe the proof statement — reason pairs need to be ordered as shown below

  Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC — given

  Draw Line segment BE Draw Line segment FC — by Construction

  Point G is the point of intersection between Line segment BE and Line segment FC — Intersecting Lines Postulate

  Draw Line segment AG — by Construction

  Point D is the point of intersection between Line segment AG and Line segment BC — Intersecting Lines Postulate

  Point H lies on Line segment AG such that Line segment AG ≅ Line segment GH — by Construction

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  II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC — Midsegment Theorem

  IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC — Substitution

  I BGCH is a parallelogram — Properties of a Parallelogram (opposite sides are parallel)

  III Line segment BD ≅ Line segment DC — Properties of a Parallelogram (diagonals bisect each other)

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  Line segment AD is a median Definition of a Median