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Mathematics 18 Online
OpenStudy (anonymous):

Which biconditional is NOT a good definition? A. A whole number is even if and only if it is divisible by 2. B. A whole number is odd if and only if the number is not divisible by 2. C. An angle is straight if and only if its measure is 180. D. A ray is a bisector of an angle if and only if it splits the angle into two angles.

OpenStudy (zzr0ck3r):

straight angle?

OpenStudy (anonymous):

That seems like a good definition.

OpenStudy (zzr0ck3r):

I dont know what a straight angle is....

OpenStudy (anonymous):

A straight line... Lol It measures 180

OpenStudy (mathmate):

Every one seems good in the forward direction. Since they all say "if and only if", each one should also work backwards, Can we correctly say: If a number is divisible by two, then it is even. If it is (it is) correct, then it is a correct biconditional. If not, it is not. @zzr0ck3r A straight angle is one that is not bent :), i.e. 180 degrees.

OpenStudy (zzr0ck3r):

angles dont bent

OpenStudy (zzr0ck3r):

bend*

OpenStudy (mathmate):

lol!

OpenStudy (zzr0ck3r):

never heard that term...but I get it:)

OpenStudy (zzr0ck3r):

and yes if a whole number is even then it is divisible by 2 if whole number is divisible by 2 then it is even

OpenStudy (anonymous):

I'm still confused... This is supposed to be geometry... not wordplay! Lol

OpenStudy (mathmate):

Geometry and logic are closely related. Geometry proofs need logical thinking, of which Euclid is a master.

OpenStudy (zzr0ck3r):

was:P

OpenStudy (zzr0ck3r):

I still don't know the answer....they all seem fine to me.

OpenStudy (anonymous):

Good point @mathmate . I guess that's why it's Euclidean geometry.

OpenStudy (mathmate):

@zzr0ck3r Thanks. In my mind, his books live on.

OpenStudy (zzr0ck3r):

touche

OpenStudy (zzr0ck3r):

he might have figured out time travel, and he is actually here. if anyone could....

OpenStudy (mathmate):

I would rather time travel back, then I can show them calculus! lol.

OpenStudy (zzr0ck3r):

ha, its the last one @Leanybean

OpenStudy (tkhunny):

"D" is horrible. Never say that!

OpenStudy (zzr0ck3r):

yeah I read it wrong. the last word is angle...

OpenStudy (mathmate):

Anyway, it doesn't read backwards.

OpenStudy (anonymous):

Sooo A or B is what I'm thinking...

OpenStudy (zzr0ck3r):

^^^^ read up

OpenStudy (anonymous):

B? Haha sorry I got confused with everyone answering at once :3

OpenStudy (mathmate):

For B, the test is: "If a whole number is not divisible by two, then it's odd". Does that make sense? If it does, B is not the answer.

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