anonymous
  • anonymous
I HAVE to get this done within the next 30 minutes. So, if could take the time to help me for a few minutes, I'd really appreciate it. Name a pair of triangles in the figure and state whether they are congruent by SSS, SAS, ASA, AAS, or HL. Given: Line segment NP is congruent to line segment OM, line segment MN is congruent to line segment PO Diagram is in the comments.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1355350960376:dw| Diagram is not to scale. They are supposed to be equal length I believe.
anonymous
  • anonymous
yeah sorry.....i have no memory of how to do one like this
anonymous
  • anonymous
It's okay. I understand. Would you know how to write a paragraph proof? That's the last question I require some help on.

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anonymous
  • anonymous
holy cow is this geometry?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
whoa no wonder! yeah buddy.....99% of geometry i have NO memory of...sorry about that.
anonymous
  • anonymous
It's okay. Thank you for your help with the first question. :)
anonymous
  • anonymous
@AriPotta Could you help me with this problem please?
AriPotta
  • AriPotta
|dw:1355352710085:dw| eh. idunno what to do after that
anonymous
  • anonymous
So, basically angles NMP and CMP are congruent to one another by the ASA Postulate?
AriPotta
  • AriPotta
no..
anonymous
  • anonymous
Line segment CP is congruent to line segment NM. Line segment NP is congruent to line segment OM. Angles NPM is congruent to CMP. Is that correct?
AriPotta
  • AriPotta
i'm thinking you mean CPM and not CMP. but i just don't know how we conclude that those two angles are congruent
anonymous
  • anonymous
They gave me this information: Given: Line segment NP is congruent to line segment OM, line segment MN is congruent to line segment PO
AriPotta
  • AriPotta
i know, that's why i made marked them on the picture
anonymous
  • anonymous
Okay...so the information we have posted is not enough to prove it by one of the postulates?
AriPotta
  • AriPotta
i don't think so :/ but they wouldn't give you an impossible question...
anonymous
  • anonymous
Indeed...let's see..
anonymous
  • anonymous
I think it would be due to the SAS Postulate... Just a moment please.
anonymous
  • anonymous
Oh I don't know where I got the C from. It's supposed to be an O.
AriPotta
  • AriPotta
lol i knew what you meant
anonymous
  • anonymous
Okay lol
anonymous
  • anonymous
Is there something that we are missing?
AriPotta
  • AriPotta
dunno
AriPotta
  • AriPotta
it's your question. is all the info there?
anonymous
  • anonymous
I know sometimes when I type or say something aloud, then it helps me figure things out. Yes, everything should be stated.
anonymous
  • anonymous
Line segment NP is congruent to line segment OM Reason: Given Line segment MN is congruent to line segment PO Reason: Given So, I guess we need angles next, since all of the possible line segments have been stated.
anonymous
  • anonymous
I think that NMP is congruent to NPM by the SSS postulate possibly. This is due to NP = OM and MN = PO MP is congruent to MP by the reflexive property. What do you think?
AriPotta
  • AriPotta
you can't use SSS postulate to prove that two angles are congruent lol
AriPotta
  • AriPotta
oh my. the reflexive property. i totally forgot about that. loolz.
anonymous
  • anonymous
Oh yeah ^^; I think that the SAS Postulate would make more sense.
AriPotta
  • AriPotta
triangle NMP is congruent to triangle OPM by SSS
anonymous
  • anonymous
Oh okay
anonymous
  • anonymous
Do you think this is enough to prove it? Line segment NP is congruent to line segment OM Reason: Given Line segment MN is congruent to line segment PO Reason: Given MP is congruent to MP by the reflexive property. Triangle NMP is congruent to triangle OPM by SSS.
AriPotta
  • AriPotta
yes
anonymous
  • anonymous
Okay, thank you! Would you mind helping me with one more problem please? It's the last one I need to do, and I just want you to check my answers real quick.
AriPotta
  • AriPotta
um. sure, i guess i can do that
anonymous
  • anonymous
Thank you very much. Write a paragraph proof. Given: line segment BC is congruent to line segment EC and line segment AC is congruent to line segment DC Prove: line segment BA is congruent to line segment ED
anonymous
  • anonymous
|dw:1355354648575:dw|
anonymous
  • anonymous
Angle ABC is congruent to DEC by the vertical angles are congruent Line segment BA is congruent to line segment DE
AriPotta
  • AriPotta
It is given that line segment BC is congruent to line segment EC and line segment AC is congruent to line segment DC. Angles ACB and ECD are congruent by the vertical angles theorem. By SAS, triangles ABC and DEC are congruent. Therefore, line segment BA is congruent to line segment ED by CPCTC
anonymous
  • anonymous
Okay, thank you for your help. I really appreciate it.
AriPotta
  • AriPotta
no problem

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