Help!with proof
:)

- anonymous

Help!with proof
:)

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- anonymous

|dw:1370912734284:dw|
Statement Reason
1)m

- anonymous

|dw:1370913239861:dw|

- anonymous

@jim_thompson5910

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## More answers

- jim_thompson5910

why is m

- anonymous

i was think angle addition postulate??

- anonymous

that cant be it

- jim_thompson5910

yes that is

- jim_thompson5910

angles 1 and 2 add to APC

- anonymous

Ok i see that

- jim_thompson5910

ok so that's the reason for #2
what's the statement for #3?

- anonymous

im thinking m

- jim_thompson5910

good

- jim_thompson5910

actually sry

- jim_thompson5910

it should be BPD

- anonymous

ooh ya that's what i ment

- jim_thompson5910

now how do we get m<1+m<2=m<2+m<3

- anonymous

im think addition property

- jim_thompson5910

no

- jim_thompson5910

go back to what you are given

- jim_thompson5910

m

- anonymous

im not suree does it has something to do with addion

- jim_thompson5910

actually it's substitution

- jim_thompson5910

you're given m

- jim_thompson5910

we just found out that
m < APC = m < 1 + m < 2 (angle addition postulate)
m < BPD = m < 2 + m < 3 (angle addition postulate)
---------------------
so...
m

- jim_thompson5910

or you can just do all the substitutions in one step (instead of 2)

- anonymous

Ok now i see who you get that

- jim_thompson5910

whats next

- anonymous

im thinking m

- jim_thompson5910

no

- jim_thompson5910

that is true though (just not useful)

- anonymous

Ok so now im thinking m

- jim_thompson5910

that's essentially what you're trying to prove, so you can't use it as part of your evidence

- jim_thompson5910

otherwise, you're using circular logic

- anonymous

am i eave close?? could you give me a hint LOL

- jim_thompson5910

lol
start with m < 1 + m < 2 = m < 2 + m < 3

- jim_thompson5910

what can be cancelled out?

- jim_thompson5910

remember all these steps are connected and are building up to the answer

- anonymous

so <1=m<3

- jim_thompson5910

correct, why?

- anonymous

hold on you are on step ahead

- jim_thompson5910

true, i tend to do that a lot

- anonymous

it ok LOL

- anonymous

i need to find the statement and reason after m<1+m<2=m<2+m<3

- jim_thompson5910

well the statement is m < 1 = m < 3
you got that already

- jim_thompson5910

the reason is __________

- anonymous

simplify?

- jim_thompson5910

what are you doing to m < 2

- jim_thompson5910

you are _______ both sides

- anonymous

multiplying

- jim_thompson5910

no

- jim_thompson5910

what undoes addition?

- anonymous

ooh subtraction

- jim_thompson5910

yep subtractive property of equality (or additive property of equality since you can add negatives to both sides)

- jim_thompson5910

subtractive property of equality: if a = b, then a-c = b-c

- jim_thompson5910

additive property of equality: if a = b, then a+c = b+c

- anonymous

ok i still have a step missing

- jim_thompson5910

show me your updated table so far

- anonymous

Statement Reason
1)m

- jim_thompson5910

statement 5 should be m < 1 = m < 3
the reason is either the subtractive property of equality or the additive property of equality

- jim_thompson5910

the reason for #6 should be the symmetry property of equality

- jim_thompson5910

the symmetric property says that if x = y, then y = x

- jim_thompson5910

also in #2, change "property" to "postulate"
I guess it's not that big a deal, but your teacher will probably want this exact wording

- anonymous

is m<1=m<3 the same as <3=m<1 just want to make sure

- jim_thompson5910

yes and this is true because of the symmetric property of equality

- anonymous

ok i didn't understand that thanks for clearing it up :)

- jim_thompson5910

So your full and completed proof table would look like this
Statement Reason
1)m

- anonymous

Yup i got i cant thakn you enough for the help :)

- jim_thompson5910

actually...it should be this
Statement Reason
1)m

- jim_thompson5910

notice how there are no m's before the angle markers in line 7 (statement 7)

- jim_thompson5910

seems silly I know, but m < 1 means "measure of angle 1" while <1 means "angle 1"
and the two are completely different

- anonymous

ooh i did not kn othat i will have to do that thatnks again for the help

- jim_thompson5910

you're welcome

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