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BIGDOG96
Group Title
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 twocolumn proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point.
Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof?
 2 years ago
 2 years ago
BIGDOG96 Group Title
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 twocolumn proof below describes the statements and justifications for proving the three medians of a triangle all intersect in one point. Which is the most logical order of statements and justifications I, II, III, and IV to complete the proof?
 2 years ago
 2 years ago

This Question is Closed

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
Statements Justifications Point F is a midpoint of Line segment AB Point E is a midpoint of Line segment AC 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 I BGCH is a parallelogram Properties of a Parallelogram (opposite sides are parallel) II Line segment FG is parallel to line segment BH and Line segment GE is parallel to line segment HC Midsegment Theorem III Line segment BD ≅ Line segment DC Properties of a Parallelogram (diagonals bisect each other) IV Line segment GC is parallel to line segment BH and Line segment BG is parallel to line segment HC Substitution Line segment AD is a median Definition of a Median
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
IV, II, III, I II, IV, I, III IV, II, I, III II, IV, III, I
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
It won't let me post the statements and justification in a two column
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
try taking a screenshot and post the pix... here you're trying to use parallelogram properties i think
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
I just did.
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
Does this work?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
look at \(\triangle ABH\)
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
Just heads up I HAVE NO CLUE what I'm doing.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
FG is the midsegment , so it is parallel to BH FG  BH
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
its okay im sure you would get enough clue by the time we finish ;p
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
Alright, continue.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
do the same thing for another triangle, look at \(\triangle\) AHC whats the midsegment in that triangle
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
dw:1347462588707:dw
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
dw:1347462742317:dw
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
thats right, EG is the midsegment
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
so EG  HC
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
good work :) so far. so our first statement must be which one ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
Perfect !
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
lets continue our logic from this point
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
There's only two that start with two.
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
only one of them is true
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
And they both have four next
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
we have this so far : we got two parallel sides according to midsegment theorem : FG  BH GE  HC
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
dw:1347463059283:dw
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
since GE  HC, BG also parallel to HC BG  HC so next statement is IV as you said
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
what could be the next ?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
dw:1347463185726:dw
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
thats one set of parallel sides
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
dw:1347463228999:dw
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
thats another set of parallel sides
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
doesnt it make that piece a parallelogram ?
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
So I was right, it's 1?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
yes ofcourse you're right :)
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
np.. yw ! (:
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
See you later. Thanks again!
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
is that a smiley D or you're saying the correct sequence is D lol
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
the correct sequence of statements is this : II, IV, I, III
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.2
good luck wid ur geometry proofs looks like you're at end of course. wish u best grades :) cya
 2 years ago

BIGDOG96 Group TitleBest ResponseYou've already chosen the best response.1
YEP thanks
 2 years ago
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