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Mathematics 11 Online
princeevee:

can someone check my answers?

princeevee:

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mhchen:

Sorry I don't think that's correct. |dw:1529025871118:dw| Look at this part and see if you can figure out what the question mark '?' is.

princeevee:

40

princeevee:

right?

mhchen:

Sorry I was gone. Yeah it's 40.

mhchen:

So the measure of angle 3 is 40. And it says the measure of angle 2 is 45 soooo |dw:1529028413190:dw|

mhchen:

Now find the measure of angle 1 here.

princeevee:

95

mhchen:

Yep.

princeevee:

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princeevee:

is this correct?

princeevee:

19 + 60 = 150 + 30 = 180

mhchen:

Uh, that angle looks like it's outside of the tent.

mhchen:

|dw:1529029679420:dw| I think it's more like this. Can you find out what '?' is here

princeevee:

120?

mhchen:

Nope. Let me make this easier: |dw:1529030019563:dw| Since it's a straight line, it'll add up to 180.

princeevee:

ah, so it's 150

mhchen:

yeap

princeevee:

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mhchen:

RQS is correct, but NMO doesn't seem right. |dw:1529030373334:dw|

princeevee:

so B?

mhchen:

yeah

princeevee:

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mhchen:

Well the first blank is wrong. What they did is combine the equations: 1. m<1 + m<2 + m<3 = 180 2. m<3 = 90 | | | | \/ m<1 + m<2 + 90 = 180 They replaced m<3 in the first equation with 90. That's called substitution.

mhchen:

And the second blank is wrong as well. To get from \[m<1 + m<2 + 90 = 180\] to \[m<1 + m<2 = 90\] You subtract 90 from both sides. So that would be subtraction.

princeevee:

oh, alright

princeevee:

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mhchen:

Er, I can't see the proof in that picture. But I'm going to say that you're wrong again xD. You're 'given' that it's equiangular, and you should always use the 'given' a the beginning of proofs. So the first blank is equiangular. The second blank is division since you know that all the angles in a triangle add up to 180. If you divide 180 by 3, because there's 3 angles, all the angles become 60. So it'll be division.

princeevee:

oh, sorry

princeevee:

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mhchen:

The first blank is equiangular. Equiangular just means that every angle is the same. <A = <B = <C The second blank is talking about how they got from 3m<A = 180 to m<A = 60 Do you know what 'property of equality' they used to do that?

princeevee:

division?

mhchen:

yep

mhchen:

So it'll be the Division property of equality

princeevee:

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mhchen:

Well...it is acute since it's less than 90. Buuuut the question asks for an angle measure, so it should be a number.

princeevee:

then 60.

princeevee:

then 60.

mhchen:

yeah

princeevee:

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mhchen:

Yep. That's correct.

princeevee:

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mhchen:

Congruent Supplements Theorem is like this: |dw:1529032199502:dw| It uses angles that add up to 180. But your question has angles that adds up to 90. so we use the Congruent Complements Theorem instead |dw:1529032296452:dw|

mhchen:

Basically anything that says 'supplements' adds up to 180. A straight line. Anything that says 'complements' adds up to 90. A right-angle.

princeevee:

alright

princeevee:

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mhchen:

So the the conclusion is what you get at the very end. And when you prove something, the thing at the very is always the thing you're trying to 'prove'. So it would be 'prove' instead. Statements only lead to the conclusion.

princeevee:

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mhchen:

yep

princeevee:

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princeevee:

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mhchen:

It says 'Given: <1 and <3 are supplementary' So that's given. Come on that should've been easy.

princeevee:

i'm r e a l l y not good at math...

mhchen:

ah well. Are there any more?

princeevee:

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princeevee:

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mhchen:

This one is a little harder probably. Look what he did at line 4. 45 + m<2 = 90 || Transitive Property of Equality This is actually Substitution Property of Equality cuz he replaced "m<1" with 45 in "m<1" + m<2 = 90 That's substitution, so it's an 'incorrect reason to justify his statement.'

princeevee:

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princeevee:

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mhchen:

Actually there's not a single 'Given' in the proof. Every proof should start with a the givens.

mhchen:

Bro I'm pretty tired now. I don't think I can help much longer.

princeevee:

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princeevee:

oh, alright then.

mhchen:

I'll help with this last one

mhchen:

And yes you are correct

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