Question

Use ∆ABC to answer the question that follows.



Given: ∆ABC

Prove: The three medians of ∆ABC 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.

Answer 1

Use ∆ABC to answer the question that follows.



Given: ∆ABC

Prove: The three medians of ∆ABC 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.

Statements
Justifications
Point F is a midpoint of
Point E is a midpoint of
Draw
Draw
by Construction
Point G is the point of intersection between and
Intersecting Lines Postulate
Draw
by Construction
Point D is the point of intersection between and
Intersecting Lines Postulate
Point H lies on such that ≅
by Construction
I
≅
Properties of a Parallelogram (diagonals bisect each other)
II
and
Midsegment Theorem
III
and
Substitution
IV
BGCH is a parallelogram
Properties of a Parallelogram (opposite sides are parallel)
is a median
Definition of a Median

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

II, III, I, IV

III, II, I, IV

II, III, IV, I

III, II, IV, I

Answer 2

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1001_05/image0174e982e70.gif

Answer 3

May someone please help me?

Answer 4

the last part is a bit jumbled, any way to get a screenshot of that too?

Answer 5

Just give me a moment....

Answer 6

ok

Answer 7

I couldn't do a screenshot, but that's what I could do.

Answer 8

So statement I is \(\Large \overline{BD} \cong \overline{DC} \)

Answer 9

i didn't answer it though? I'm lost lol

Answer 10

I just asked if statement I was \(\Large \overline{BD} \cong \overline{DC} \)

Answer 11

oh... I now realized that...I'm lost too, lol. And yes. It was.

Answer 12

statement II must come before statement III since III depends on II

Answer 13

and IV must come before I since statement I depends on IV

Answer 14

so the correct order is

II, III, IV, I

Answer 15

THANK YOU!!!!!!!! :)