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OpenStudy (anonymous):
OpenStudy (anonymous):
statement 6?
OpenStudy (mertsj):
What is the area of the 4 grey triangles in figure A?
OpenStudy (mertsj):
Hello???? Are you there???
OpenStudy (anonymous):
Yes sorry
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OpenStudy (anonymous):
uh B-4xy
OpenStudy (mertsj):
Did you read the problem? It tells you what the area of the 4 grey triangles is in figure A
OpenStudy (mertsj):
What does statement 1 say?
OpenStudy (anonymous):
A-(1/2xy)-2xy
OpenStudy (mertsj):
Statement 1 says that the area of the 4 grey triangles inside Figure A = 4(1/2xy)=2xy
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OpenStudy (mertsj):
Looking at the picture, we see that is true. The base and height of the grey triangles is x and y. So the area is 1/2(xy). There are 4 grey triangles so the total area of all 4 is 4 (1/2)(2xy) which is 2xy.
OpenStudy (mertsj):
Are you with me so far?
OpenStudy (anonymous):
yes
OpenStudy (mertsj):
So now, just to make sure, what is the total area of the 4 grey triangles?
OpenStudy (anonymous):
c2
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OpenStudy (mertsj):
There are 4 grey triangles so the total area of all 4 is 4 (1/2)(2xy) which is 2xy.
OpenStudy (anonymous):
2xy my bad
OpenStudy (mertsj):
Are the grey triangles in Figure B the same as the grey triangles in Figure A?
OpenStudy (anonymous):
no
OpenStudy (mertsj):
What does it say ABOVE Figures A and B?
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OpenStudy (anonymous):
oh yes they are
OpenStudy (anonymous):
they are identical but are arranged differently
OpenStudy (mertsj):
Yes. They are the same triangles and their area is, once again _____?
OpenStudy (anonymous):
2xy
OpenStudy (mertsj):
Now what does statement 4 say?
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OpenStudy (anonymous):
Area of the four grey triangles inside figure B = 4xy
OpenStudy (mertsj):
Is that true?
OpenStudy (anonymous):
no
OpenStudy (mertsj):
Because we know that the area of the 4 grey triangles is 2xy. So statement 4 is obviously false.
OpenStudy (anonymous):
Wow such a simple question, im so dumb ;/
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OpenStudy (anonymous):
Thanks for you help
OpenStudy (mertsj):
You are not dumb. I think you just need to read a little more carefully.