A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side.
Given: ∆ABC
Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.
Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the xaxis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by th
 2 years ago
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side. Given: ∆ABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the xaxis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by th

This Question is Closed

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side. Given: ∆ABC Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC. Draw ∆ABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the xaxis at (x2, 0). Label point D as the midpoint of Line segment AB with coordinates at Ordered pair the quantity 0 plus x sub 1, divided by 2; the quantity 0 plus y sub 1, divided by 2 by the Midpoint Formula. Label point E so it is the midpoint of Line segment BC with an ordered pair of Ordered pair the quantity of x sub 1 plus x sub 2 divided by 2; the quantity of 0 plus y sub 1 divided by 2 by the Midpoint Formula. The slope of Line segment DE is found to be 0 through the application of the slope formula: The difference of y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of the quantity 0 plus y sub 1, divided by 2, and the quantity 0 plus y sub 1, divided by 2, divided by the difference of the quantity x sub 1 plus x sub 2, divided by 2 and the quantity 0 plus x sub 1, divided by 2 is equal to 0 divided by the quantity x sub 2 divided by 2 is equal to 0 When the slope formula is applied to Line segment AC the difference between y sub 2 and y sub 1, divided by the difference of x sub 2 and x sub 1 is equal to the difference of 0 and 0, divided by the difference of x sub 2 and 0 is equal to 0 divided by x sub 2 is equal to 0, its slope is also 0. Since the slope of Line segment DE and Line segment AC are identical, Line segment DE and Line segment AC are parallel by the definition of parallel lines.

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1001/1001_G4_Q12b.gif

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0here are the answer choices...

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0What is the flaw in Gina’s proof? Points D and E must be constructed, not simply labeled, as midpoints. Segments DE and AC are parallel by construction. The slope of segments DE and AC is not 0. The coordinates of D and E were found using the Distance between Two Points Postulate

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3Is it this question? http://assets.openstudy.com/updates/attachments/4fe3df92e4b06e92b872936fyourmom141340333980899georgeiiieiehjkdhkjs.jpg

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3It was a question I answered two days ago.

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0Did you find it on FLVS online?

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0I am a Florida Virtual School Student

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0can you help me out here?

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3First off, which choices can we easily eliminate?

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0Choice three is erroneous

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3Right, any others you can see are obviously wrong?

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0and the distance formula was never used, so we can eliminate 4

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0But there was a flaw in her work

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0I have a feeling that her flaw was in choice 1

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3Right again. Now it's up to 1 or 2. Let's look at 1. Did Gina construct D and E, or did she label them?

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0Points D and E must be constructed, not simply labeled, as midpoints.

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0she did not construct them

KingGeorge
 2 years ago
Best ResponseYou've already chosen the best response.3Right. So the flaw is that she labeled them

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0by browser logged off automatically without my permission :(

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0wait!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0;D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0:D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0I didn't lose them!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

luisz
 2 years ago
Best ResponseYou've already chosen the best response.0two more nasty suckers coming up
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.