## 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.

1. Squirrel02

|dw:1355350960376:dw| Diagram is not to scale. They are supposed to be equal length I believe.

2. PaulK

yeah sorry.....i have no memory of how to do one like this

3. Squirrel02

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

holy cow is this geometry?

5. Squirrel02

Yes

6. PaulK

whoa no wonder! yeah buddy.....99% of geometry i have NO memory of...sorry about that.

7. Squirrel02

It's okay. Thank you for your help with the first question. :)

8. Squirrel02

@AriPotta Could you help me with this problem please?

9. AriPotta

|dw:1355352710085:dw| eh. idunno what to do after that

10. Squirrel02

So, basically angles NMP and CMP are congruent to one another by the ASA Postulate?

11. AriPotta

no..

12. Squirrel02

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

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

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

i know, that's why i made marked them on the picture

16. Squirrel02

Okay...so the information we have posted is not enough to prove it by one of the postulates?

17. AriPotta

i don't think so :/ but they wouldn't give you an impossible question...

18. Squirrel02

Indeed...let's see..

19. Squirrel02

I think it would be due to the SAS Postulate... Just a moment please.

20. Squirrel02

Oh I don't know where I got the C from. It's supposed to be an O.

21. AriPotta

lol i knew what you meant

22. Squirrel02

Okay lol

23. Squirrel02

Is there something that we are missing?

24. AriPotta

dunno

25. AriPotta

it's your question. is all the info there?

26. Squirrel02

I know sometimes when I type or say something aloud, then it helps me figure things out. Yes, everything should be stated.

27. Squirrel02

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

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

you can't use SSS postulate to prove that two angles are congruent lol

30. AriPotta

oh my. the reflexive property. i totally forgot about that. loolz.

31. Squirrel02

Oh yeah ^^; I think that the SAS Postulate would make more sense.

32. AriPotta

triangle NMP is congruent to triangle OPM by SSS

33. Squirrel02

Oh okay

34. Squirrel02

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

yes

36. Squirrel02

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

um. sure, i guess i can do that

38. Squirrel02

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

|dw:1355354648575:dw|

40. Squirrel02

Angle ABC is congruent to DEC by the vertical angles are congruent Line segment BA is congruent to line segment DE

41. 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

42. Squirrel02

Okay, thank you for your help. I really appreciate it.

43. AriPotta

no problem