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Mathematics, 05.06.2020 18:03 adriannamartinez000

(really need help! 12 points and brainliest to correct answer!) Use ΔABC to answer the question that follows:

(Triangle ABC. Point F lies on AB. Point D lies on BC. Point E lies on AC. AD, BE, and CF passes through point G. Line AD passes)

Given: ΔABC

Prove: The three medians of ΔABC intersect at a common point.

When written in the correct order, the two-column proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point:

StatementsJustifications
-Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC Draw Line segment BEDraw 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.
- IBGCH is a parallelogramProperties of a Parallelogram (opposite sides are parallel).
- IILine segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem.
- IIILine segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other)
- IVLine segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution.
Line segment AD is a medianDefinition of a Median.

Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof? (4 points)

Select one:
a. IV, II, III, I
b. II, IV, I, III
c. IV, II, I, III
d. II, IV, III, I


(really need help! 12 points and brainliest to correct answer!)

Use ΔABC to answer the question t

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Answers: 3

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