Question

I need help.

What biconditional is NOT a good definition?

o A whole number is odd if and only if the number is not divisible by 2.
o An angle is straight if and only if its measure is 180 degrees.
o A whole number is even if and only if it is divisible by 2.
o A ray is a bisector of an angle if and only if it splits the angle into two angles.

Answer 1

hint: it's the choice that is not specific enough

does that help?

Answer 2

I would think "A whole number is even if and only if it is divisible by 2."
What makes a biconditional a good definition exactly? I forgot.

Answer 3

it's a good definition if the definition is complete

Answer 4

and also if you cannot think of a counterexample

Answer 5

Okay, I understand that part. One moment please.

Answer 6

sure

Answer 7

I'm not sure..

Answer 8

I think it might be the last choice; "A ray is a bisector of an angle if and only if it splits the angle into two angles."

Answer 9

What do you think?

Answer 10

I believe that the other three options are true.

Answer 11

actually you're right. because the last option is not complete

Answer 12

Thank you. :)
Would you mind helping me with another problem real quick?

Answer 13

sure

Answer 14

by the way...the *complete* definition of angle bisector is a line that splits an angle into two EQUAL angles

Answer 15

Use the Law of Detachment to draw a conclusion from the two given statements.

If I miss a basketball practice, then I cannot play in the upcoming game.
I cannot play in the upcoming game.

o I missed basketball practice.
o I did not miss the basketball practice.
o If I miss the upcoming game, then I missed practice.
o Not possible

Answer 16

I think it is the first choice.

Answer 17

Oh okay, thank you for letting me know that.

Answer 18

Law of detachment truth value is

P Q LoD
T T T
T F F
F T T
F F T

now...if you put Q first...

Q P LoD
T T T
F T T
T F F
F F T

so in your statement, Q is already true. Therefore, only way for it to be true is if P is true. therefore you're right.

Answer 19

What does LoD stand for?

Answer 20

law of detachment

Answer 21

Okay

Answer 22

Thanks again!

Answer 23

welcome

Answer 24

Thank you for the medal as well. :)