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2 years ago

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Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Answer:

B: II, IV, I, III

Step-by-step explanation:

We believe the proof <em>statement — reason</em> 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

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)

Line segment AD is a median Definition of a Median

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