Question

What is the correct reason for statement 6 in the proof?

Given
Identity Property of Multiplication
Symmetric Property of Equality
Transitive Property Of Equality

Answer 1

One last one. I know it isnt A for sure.
@NobodysSalvation

Answer 2

Why do you say that?

Answer 3

Because Given is always the first step.

Answer 4

ok so a.1=a what do u call this property ?

Answer 5

Identity right?

Answer 6

yep exactly :)

Answer 7

but there is one thing that confuse me in ur question, about this one
Symmetric Property of Equality
i dont see why its wrong to use it, maybe cause its the same property that u wanna prove ?

Answer 8

Im not sure. Its what confused me too...

Answer 9

The answer is Symmetric Property because the basic rule for that one is a=b so b=a
In the problem though we're only shown one-half of the property. Both sides are still equal though due to the given.

Answer 10

Okay, I wasnt sure what it would be. That makes sense though. Thank you, both of you

Answer 11

well thats depend on the axiom system ur working on
the question itself wanna u to prove if Symmetric Property of Equality really works ,i'll tell u why :-
if the reason was symmetric property then why didnt we use it directly to prove
a.c=b.c ?
got it now ??

Answer 12

Yeah, I get it. Makes way more sense

Answer 13

so the answer is the identity look for how it make more sense

Answer 14

Oh wait- so its Identity not Symmetry?

Answer 15

I see what you're saying, but the reason I went with symmetric was because of the fact that given is the reason fro a*c=b*c

Answer 16

Im confused now.

Answer 17

well here what i think :-
1.ac=bc given
2.ac.1/c=bc.1/c symmetric property (we can multiply both side with same stuff like a balance)
3.
4.
5.
6. identity XD


if we use symmetric directly on 6,then there is no need for this whole proof as we can also say
ac=bc given
a=b symmetric blah blah ..
end .

Answer 18

That is true, but I think it is because there is a better fit for the others. Even if it makes it all unnecessary.

Answer 19

Like you said it fits better for 2 but that one actually would be the multiplicative identity.

Answer 20

hmm i think its all about text book and what they trying to teach, its up to u now to decide
@glittergurl0101
i would really like to know whats the answer when u got it :)

Answer 21

Same here.

Answer 22

thanks for brain storming @NobodysSalvation

Answer 23

You too @ikram002p

Answer 24

Yeah, I will go with what I think is best. Then I will let you too know. Thanks so much for the help.

Answer 25

You're welcome @glittergurl0101

Answer 26

Ahhhh...... The answer was identity. I went with symmetry and got it wrong.

Answer 27

Ah. Okay so this one goes to @ikram002p

Answer 28

Lol yup. Thanks for the help anyways

Answer 29

no problem :)