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Squirrel02

  • 2 years ago

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.

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  1. Squirrel02
    • 2 years ago
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    |dw:1355350960376:dw| Diagram is not to scale. They are supposed to be equal length I believe.

  2. PaulK
    • 2 years ago
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    yeah sorry.....i have no memory of how to do one like this

  3. Squirrel02
    • 2 years ago
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    It's okay. I understand. Would you know how to write a paragraph proof? That's the last question I require some help on.

  4. PaulK
    • 2 years ago
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    holy cow is this geometry?

  5. Squirrel02
    • 2 years ago
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    Yes

  6. PaulK
    • 2 years ago
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    whoa no wonder! yeah buddy.....99% of geometry i have NO memory of...sorry about that.

  7. Squirrel02
    • 2 years ago
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    It's okay. Thank you for your help with the first question. :)

  8. Squirrel02
    • 2 years ago
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    @AriPotta Could you help me with this problem please?

  9. AriPotta
    • 2 years ago
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    |dw:1355352710085:dw| eh. idunno what to do after that

  10. Squirrel02
    • 2 years ago
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    So, basically angles NMP and CMP are congruent to one another by the ASA Postulate?

  11. AriPotta
    • 2 years ago
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    no..

  12. Squirrel02
    • 2 years ago
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    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?

  13. AriPotta
    • 2 years ago
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    i'm thinking you mean CPM and not CMP. but i just don't know how we conclude that those two angles are congruent

  14. Squirrel02
    • 2 years ago
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    They gave me this information: Given: Line segment NP is congruent to line segment OM, line segment MN is congruent to line segment PO

  15. AriPotta
    • 2 years ago
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    i know, that's why i made marked them on the picture

  16. Squirrel02
    • 2 years ago
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    Okay...so the information we have posted is not enough to prove it by one of the postulates?

  17. AriPotta
    • 2 years ago
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    i don't think so :/ but they wouldn't give you an impossible question...

  18. Squirrel02
    • 2 years ago
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    Indeed...let's see..

  19. Squirrel02
    • 2 years ago
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    I think it would be due to the SAS Postulate... Just a moment please.

  20. Squirrel02
    • 2 years ago
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    Oh I don't know where I got the C from. It's supposed to be an O.

  21. AriPotta
    • 2 years ago
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    lol i knew what you meant

  22. Squirrel02
    • 2 years ago
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    Okay lol

  23. Squirrel02
    • 2 years ago
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    Is there something that we are missing?

  24. AriPotta
    • 2 years ago
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    dunno

  25. AriPotta
    • 2 years ago
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    it's your question. is all the info there?

  26. Squirrel02
    • 2 years ago
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    I know sometimes when I type or say something aloud, then it helps me figure things out. Yes, everything should be stated.

  27. Squirrel02
    • 2 years ago
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    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.

  28. Squirrel02
    • 2 years ago
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    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?

  29. AriPotta
    • 2 years ago
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    you can't use SSS postulate to prove that two angles are congruent lol

  30. AriPotta
    • 2 years ago
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    oh my. the reflexive property. i totally forgot about that. loolz.

  31. Squirrel02
    • 2 years ago
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    Oh yeah ^^; I think that the SAS Postulate would make more sense.

  32. AriPotta
    • 2 years ago
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    triangle NMP is congruent to triangle OPM by SSS

  33. Squirrel02
    • 2 years ago
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    Oh okay

  34. Squirrel02
    • 2 years ago
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    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.

  35. AriPotta
    • 2 years ago
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    yes

  36. Squirrel02
    • 2 years ago
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    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.

  37. AriPotta
    • 2 years ago
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    um. sure, i guess i can do that

  38. Squirrel02
    • 2 years ago
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    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

  39. Squirrel02
    • 2 years ago
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    |dw:1355354648575:dw|

  40. Squirrel02
    • 2 years ago
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    Angle ABC is congruent to DEC by the vertical angles are congruent Line segment BA is congruent to line segment DE

  41. AriPotta
    • 2 years ago
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    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

  42. Squirrel02
    • 2 years ago
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    Okay, thank you for your help. I really appreciate it.

  43. AriPotta
    • 2 years ago
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    no problem

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