A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
The figures below show two different ways of arranging four identical triangles of grey poster board on top of a white square. The square has sides equal to x + y, while the hypotenuse of each triangle is represented by the variable c.
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_07/image0034e8ca1c0.jpg
Hazel wrote the following statements to prove that c2 = x2 + y2.
 2 years ago
The figures below show two different ways of arranging four identical triangles of grey poster board on top of a white square. The square has sides equal to x + y, while the hypotenuse of each triangle is represented by the variable c. http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_1008_07/image0034e8ca1c0.jpg Hazel wrote the following statements to prove that c2 = x2 + y2.

This Question is Closed

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.01. Area of the four grey triangles inside figure A = http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1008/1008_G7_Q26a.gif 2. Area of the white square inside figure A = c2 3. Area of figure A = c2 + 2xy 4. Area of the four grey triangles inside figure B = http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1008/1008_G7_Q26b.gif 5. Area of the two white squares inside figure B = 2x2+ 2y2 6. Area of figure B = 2x2+ 2y2 + 2xy 7. Area of figure A = area of Figure B, hence c2 + 2xy = 2x2+ 2y2 + 2xy 8. Therefore, c2 = x2+ y2 Which is the first incorrect statement in Hazel’s proof?

A.Avinash_Goutham
 2 years ago
Best ResponseYou've already chosen the best response.15 it's x2 + y2 i blive

gitahimart
 2 years ago
Best ResponseYou've already chosen the best response.1its statement 8: in A: 4grey = 2xy 2white = c^2 therefore A = 2xy + c^2 in B: 2white: = 2x^2+2y^2 and area B = 2x^2+2y^2+2xy and if A=B, then 2xy + c^2 = 2x^2+2y^2+2xy c^2= 2x^2+2y^2, therefore statement 8 is wrong.

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0These are my choices: Statement 5 Statement 6 Statement 7 Statement 4

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0I thought it was statement 8 too but apparently its not

gitahimart
 2 years ago
Best ResponseYou've already chosen the best response.1let me see, just a minute:

gitahimart
 2 years ago
Best ResponseYou've already chosen the best response.1I get it since 1 and 4 are the same, then by same thinking then statement 5 should equal twice statement 2, hence 5 should read 2c^2 instead of 2x2+ 2y2, and hence 5 must be incorrect, what do you think?
Ask your own question
Sign UpFind 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.