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im about to put the questions.
Please pay attention in class, so you don't have to ask for your entire homework answer.
I do pay attention in class. I just have never understood proofs and always have trouble. Im asking for help not answers.
I love proofs! We'll do this together!
Awesome! Maybe when were done I wont hate them as much.
Can we start on the first question? What im confused about with proofs is i get confused with all of the terms and what it could be and i usually dont pick the right postulate or definition.
Sure, sorry, mom called haha
oh okay. lol
Okay, we have AB is congruent to DE, and that's given. What's another given that's not already on the proof?
Are we looking at the same problem?
im looking at number 1.
oh wait.. i get what your saying.. another given is b=~ e A=~D
There is nothing labeled C in #1 though
Okay, there we go. A \(\cong\) D is in the next step, so we know that B \(\cong\) E has to be in the second step
Oh wait, there is a C. Shows how blind I am :)
okay so 2. is A=~ D
Yep, and we just figured out that A \(\cong\) D is a given, so that will be 3
Now, do you know the triangle theorems such as side angle side, angle side side, etc?
what is the reason that the two triangles are congruent? I think i know them but not very well. I get mixed up with all of them
would this be congruent by the angle angle side theorem?
That's fine :) We have an angle, a side then another angle, so how we figure this out, is just put them in order of where they are. |dw:1449678033010:dw|
Oh okay i see. I always confuse myself.
haha, I used to hate proofs, but now I love them because I've had some time to process all of the information needed :)
So, for number 2, 1 and 2 for the staments are PQ=~RS and ,PQS=~RSQ?
and number 3's reason is the adjacent angles postulate or theorem?
Now for #3 in question 2, do you know what the reflexive property is? Basically a = a, or x + y = x+y
That's what we're going to use for #3, QS = QS, reflexive property of congruence
Basically saying, x = x
okay and number 4 is SAS?
will the last one always be one of the SAS ASA or one of those?
for number 3, i fill in all of the given things? and then on number four put ABC=~DEF?
Yes, I think they made a typo haha
typo on what?
Prove ABD \(\cong\) DEF
But ABD isn't a triangle
oh yeah i see
You're catching on to proofs really quickly :)
yeah im excited thanks:) im not sure why i just could never get it.
For number 4 do the two givens then number 3 is MO=~ OM 4. ASA or AAS?
I think you've got #4 figured out already ;)
im just going to type my answers so you can check becuase i can do it but im still a little doubtfull on some of my answers.
Close for number 3, it would either be MO \(\cong\) MO or OM \(\cong\) OM
what about for 4. i think it would be AAS
and for proving congruence, just remember to look at what is directly in a row |dw:1449678966242:dw|
Yep, AAS :)
okay cool. thats what i thought but ,y other thoughts were if we go clockwise it would be ASA but those arent as close as the AAS
for five 1 is given and 2 is ae bisects bd . for number 3, it says the reason is definition of bisect so what would i put for the statement?
I only have 10 minutes left untill i have to leave. Im going to fill in the givens on all of the problems becuase i know i have that part and try to see what im sure about on my own so i can only ask about the stuff im confused on.
Okay, if AE bisects BD, then DC \(\cong\) CB
so write DC =~CB?
i dont get 4.
4, do you know what vertical angles are?
Vertical angles are congruent, ACB and DCE are vertical angles
so for four put vertical angles theorem
or definition of vertical angles?
I would put definition of vertical angles
okay and for 5 AAS?
Question 6, I'm honestly not sure
is that right for 5? AAS?
Yes, question 5 is correct
look at number 4 on 6. there is no ACB or DCE..
Yes, that's partially why I'm confused about it
Is this homework?
i can just cross it out and put a note on the side that there is none. lets just do the problem with out 4.
would 3 be verticle angles?
or alternate interior angles?
I know it's not vertical angles, I think you're right with alternate interior
okay. now to 7 i think there is another typo on 4.
i think DEF needs to be DEC
Okay, well it's kind of obvious now that the first 2 things are most likely going to be given, so we know that
I think you're right on that typo :)
what are the reasons though for 3 and 4 im pretty sure 5 is SAS
Now 3, is going to be vertical angles I'm pretty sure
4 is SAS, that's where we're proving the triangles, 5, b \(\cong\) D, have you heard of Corresponding Parts of Corresponding Triangles are Congruent?
yes but i dont understand it. 4 is SAS or 5?
4 is SAS because 4 is proving the triangles
Then 5 is CPCTC because we're just proving the angles
i get cpctc i just looked it up. that is 5 right/
#4 for question 8
Definition of a midpoint
okay then 5 and 6.
is I the cooresponding angle?
or H and I
We know it has to make SAS congruence for the next one, so I'd go with
6. GHI =~ JIK?
7, same as the last one, angle G and angle J are in the same spot on each triangle, so CPCTC
4 on question 9
would that be cooresponding?
Since OP bisects MN, that mean MO = ON
and OP = OP
Wait, I'm a step ahead
yeah whats four?
We need an angle >_<
i shouldve left 15 minutes ago but im trying to get this done.. were almost done..
I would go with SAS for #4, that's the only thing I can think of
what about 5?
and both 2's for question 10
MO = ON, definition of a bisector
TU = TU, reflex prop of cong
Does that make sense?
Thank you so much i really really appreciate you rhelp. I have to go now.. I have 12 minutes to get ready to leave and usually take 30 lol but i got my math done.:D
Okay, now HL theorem requires triangles to be congruent, so statement would be SUT \(\cong\) VTU
i got that already.
Then TS \(\cong\) UV :)
yep. Thanks for all your help:D
Hopefully you understand proofs better now :) It sure looks like you do ^_^