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Geometry 14 Online
OpenStudy (lifeisadangerousgame):

Could someone check this please? I'd appreciate it :D

OpenStudy (lifeisadangerousgame):

OpenStudy (lifeisadangerousgame):

Please? This is really important...

jimthompson5910 (jim_thompson5910):

the first four are correct, so nice job on that so far

jimthompson5910 (jim_thompson5910):

5 is correct but 6 is not

jimthompson5910 (jim_thompson5910):

same with 7, #7 is incorrect

jimthompson5910 (jim_thompson5910):

8 is incorrect as well

jimthompson5910 (jim_thompson5910):

9 is incorrect too I think you mixed up the terms converse and inverse

OpenStudy (lifeisadangerousgame):

Mmk, let me go back and do them. Thanks for checking them :D don't let me stop you xD

jimthompson5910 (jim_thompson5910):

10 is incorrect, you mixed up inverse and contrapositive

jimthompson5910 (jim_thompson5910):

11 is correct

jimthompson5910 (jim_thompson5910):

12 is correct

jimthompson5910 (jim_thompson5910):

13 is correct

jimthompson5910 (jim_thompson5910):

14 is correct

jimthompson5910 (jim_thompson5910):

15 is correct

OpenStudy (lifeisadangerousgame):

For 10, my teacher corrected it because there was a mistake (all the answers are wrong). 10. If a shape is a rectangle then it has 4 right angles. A If a shape is not a rectangle, then it does not have 4 right angles. TRUE B If a shape is not a rectangle, then it does not have 4 right angles, FALSE C If a shape does not have 4 right angles, then it is not a rectangle, TRUE D If a shape has does not have 4 right angles, then it is not a rectangle, FALSE It's that instead and I choose C.

jimthompson5910 (jim_thompson5910):

16 is a fallacy...which a lot of people mix up 16 is not a valid argument

OpenStudy (lifeisadangerousgame):

Alright, I fix that

jimthompson5910 (jim_thompson5910):

#10 (this new one), you're looking for the inverse? converse? contrapositive?

jimthompson5910 (jim_thompson5910):

17 is incorrect (it's definitely not true because if an animal had 4 legs, then it could easily be a cow, so that's false...but the original statement is true)

jimthompson5910 (jim_thompson5910):

18 is incorrect because it depends on 17 so if you got 17 wrong, then there's a very good chance you'll get 18 wrong

jimthompson5910 (jim_thompson5910):

19 is wrong

jimthompson5910 (jim_thompson5910):

so is 20

jimthompson5910 (jim_thompson5910):

21 is correct

jimthompson5910 (jim_thompson5910):

22 is correct because the two aren't equivalent (having 4 legs and being a dog)

jimthompson5910 (jim_thompson5910):

23 through 25 are all correct

OpenStudy (lifeisadangerousgame):

For number 10, I'm looking for the contrapositive. Why is 17 incorrect? I made the sentence into a conditional statement and then in 18 I said that the conditional statement was false.

jimthompson5910 (jim_thompson5910):

10. If a shape is a rectangle then it has 4 right angles. A If a shape is not a rectangle, then it does not have 4 right angles. TRUE B If a shape is not a rectangle, then it does not have 4 right angles, FALSE C If a shape does not have 4 right angles, then it is not a rectangle, TRUE D If a shape has does not have 4 right angles, then it is not a rectangle, FALSE C is correct for this one if you're looking for the contrapositive

OpenStudy (lifeisadangerousgame):

Mmk, also what is wrong with 19 and 20?

jimthompson5910 (jim_thompson5910):

think about it if I told you that "If an animal has four legs, then it is a dog" would what I'm saying be true or false?

OpenStudy (lifeisadangerousgame):

It would be false.

OpenStudy (lifeisadangerousgame):

But the one I chose says that: "If an animal is a dog, then it has four legs." And I said that (in Q 20) that that was true.

jimthompson5910 (jim_thompson5910):

ok now go back to the original statement "A dog is an animal with four legs" is that true or false?

jimthompson5910 (jim_thompson5910):

you have them mixed up, that's why

OpenStudy (lifeisadangerousgame):

That is true

jimthompson5910 (jim_thompson5910):

"A dog is an animal with four legs" is true but you said that the above translates to "If an animal has four legs, then it is a dog" which is false (a cat has four legs is a counter-example)

jimthompson5910 (jim_thompson5910):

so the two statements "A dog is an animal with four legs" and "If an animal has four legs, then it is a dog" are logically not equivalent

OpenStudy (lifeisadangerousgame):

Right, but then the converse of it "If an animal is a dog, then it has four legs." would be true right?

jimthompson5910 (jim_thompson5910):

yes it would be true, but again you have them mixed up

jimthompson5910 (jim_thompson5910):

"A dog is an animal with four legs" translates to "If an animal is a dog, then it has four legs." both of which are true statments

jimthompson5910 (jim_thompson5910):

the converse would be "If an animal has four legs, then it is a dog" which is false

OpenStudy (lifeisadangerousgame):

But that's not one of my answers D:

jimthompson5910 (jim_thompson5910):

what do you mean

OpenStudy (lifeisadangerousgame):

19. What is the converse of the statement? A If an animal is not a dog, then it does not have four legs B If an animal has four legs, then it is not a dog C If an animal does not have four legs, then it is not a dog D If an animal is a dog, then it has four legs. If an animal has four legs, then it is a dog isn't in there so the only one that is actually a conversed conditional statement would be D which is true

jimthompson5910 (jim_thompson5910):

well idk what to tell you, there's a serious typo or something is missing

jimthompson5910 (jim_thompson5910):

17 should be C 18 should be true 19 should be "If an animal has four legs, then it is a dog"

OpenStudy (lifeisadangerousgame):

Wait, why is 17 C? I know it's not B or D because those aren't conditional statements, but why would it be C?

jimthompson5910 (jim_thompson5910):

because "A dog is an animal with four legs" and "If an animal is a dog, then it has four legs." are both true statements

jimthompson5910 (jim_thompson5910):

17 is NOT A because "If an animal has four legs, then it is a dog" is NOT true

jimthompson5910 (jim_thompson5910):

"If an animal has four legs, then it is a dog" is false because a cat has four legs, but it's not a dog

jimthompson5910 (jim_thompson5910):

but flip it and it's definitely true because all dogs have 4 legs (assuming they didn't lose any)

OpenStudy (lifeisadangerousgame):

But in Question 18, I said that A is false which is correct, correct?

jimthompson5910 (jim_thompson5910):

18 would be true

jimthompson5910 (jim_thompson5910):

because the conditional "If an animal is a dog, then it has four legs." is true

jimthompson5910 (jim_thompson5910):

so you can see how messing up one (#17) messes up the rest (#18 through #20)

OpenStudy (lifeisadangerousgame):

Oohh, I do get it. Yikes that would've been a huge mistake D:

OpenStudy (lifeisadangerousgame):

Thanks so much for explaining it all to me, I hope I didn't frustrate you or anything D:

jimthompson5910 (jim_thompson5910):

you're fine lol

OpenStudy (lifeisadangerousgame):

Thanks again! I'll let you know what grade I get ^_^

OpenStudy (lifeisadangerousgame):

I got 44/50, 6, 19, and 20 were incorrect

OpenStudy (lifeisadangerousgame):

For each statement below (#’s 6-9) write the converse of the statement and determine if the converse is true or false. 6. If a shape is a rectangle then it is a parallelogram. A If a shape is not a rectangle, then it is not a parallelogram TRUE B If a shape is not a rectangle, then it is not a parallelogram, FALSE C If a shape is a parallelogram, then it is a rectangle, TRUE D If a shape is a parallelogram then it is a rectangle, FALSE I think #6 should've been D instead. Because a square is a rectangle ( I think), but a rectangle is not a square.

jimthompson5910 (jim_thompson5910):

hmm i knew something fishy was up with 17-20...there had to have been a typo

OpenStudy (lifeisadangerousgame):

It is kinda weird, I'm going to have to talk to my teacher during office hours. #19 was 19. What is the converse of the statement? A If an animal is not a dog, then it does not have four legs B If an animal has four legs, then it is not a dog C If an animal does not have four legs, then it is not a dog D If an animal is a dog, then it has four legs. I chose D for 19 forgetting that I had change my answer for 17 (which made it so that they were the same statement and not conversed). But none of the other answers are correctly conversed..

OpenStudy (lifeisadangerousgame):

And 20 was wrong because 19 was wrong so I know 20 is supposed to be False.

jimthompson5910 (jim_thompson5910):

yeah everything was dependent on 17 so if you got 17 wrong, then everything from 18 onto 20 was wrong

OpenStudy (lifeisadangerousgame):

Yea, but I got 17 right

jimthompson5910 (jim_thompson5910):

true, so there has to be a typo in #19

OpenStudy (lifeisadangerousgame):

Yea, she made a typo in #10 so it's likely. Thanks a whole bunch, I would've gotten a lot worse than 44/50 if you hadn't of checked it. I'll have to ask her about it after class.

jimthompson5910 (jim_thompson5910):

good idea

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