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OpenSessame Group Title

Circle O and circle P are congruent. What can you conclude from the diagram? https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc001-1.jpg

  • one year ago
  • one year ago

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  1. OpenSessame Group Title
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    @Directrix

    • one year ago
  2. Directrix Group Title
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    I think you need the theorem that begins: In the same circle or in congruent circles, congruent central angles have ________________________________? That would be, I think, what you could conclude. But, first look up that theorem.

    • one year ago
  3. Directrix Group Title
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    Rather than guess, look up the theorem. In the same circle or in congruent circles, congruent central angles have congruent arcs. So, what are the two congruent arcs for central angles O and P. Those are the arcs cut off by the angles. @OpenSessame

    • one year ago
  4. OpenSessame Group Title
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    No i looked it up..

    • one year ago
  5. Directrix Group Title
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    That's good.

    • one year ago
  6. OpenSessame Group Title
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    There is a whole bunch of them according to my textbook i didnt know which one you wanted

    • one year ago
  7. Directrix Group Title
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    First, you have to see that the two circles are congruent, that O and P are central angles that are marked congruent. Then, read the theorem that talks about the arcs of congruent central angles of congruent circles.

    • one year ago
  8. Directrix Group Title
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    So, what are the two congruent arcs for central angles O and P.

    • one year ago
  9. OpenSessame Group Title
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    ca and fd?

    • one year ago
  10. Directrix Group Title
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    There are no numbers on the diagram so I don't know where 11 comes from.

    • one year ago
  11. Directrix Group Title
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    This is the diagram I'm seeing.

    • one year ago
  12. Directrix Group Title
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    > ca and fd? No, these arcs are not cut off by the two angles.

    • one year ago
  13. OpenSessame Group Title
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    Then i have no idea...

    • one year ago
  14. Directrix Group Title
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    What are the names of the arcs I marked in blue in the attachment?

    • one year ago
  15. Directrix Group Title
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    Arc AB and Arc what?

    • one year ago
  16. OpenSessame Group Title
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    DE?

    • one year ago
  17. Directrix Group Title
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    Yes, Arc AB and Arc DE are congruent.

    • one year ago
  18. OpenSessame Group Title
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    So thats what we know?

    • one year ago
  19. Directrix Group Title
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    That is what I conclude from the diagram. If you have answer options, it may be that we are to choose from among those.

    • one year ago
  20. OpenSessame Group Title
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    That was one of them

    • one year ago
  21. Directrix Group Title
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    Are the major arcs another option: Arc BCA is congruent to Arc EFD ?

    • one year ago
  22. OpenSessame Group Title
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    i have cab and fde?

    • one year ago
  23. Directrix Group Title
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    I don't see that as being correct.

    • one year ago
  24. OpenSessame Group Title
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    me Either

    • one year ago
  25. Directrix Group Title
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    http://www.mhsweather.org/images/Geometry_Chapter_12_Test_SAMPLE.pdf

    • one year ago
  26. OpenSessame Group Title
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    I think what we said first is right.

    • one year ago
  27. Directrix Group Title
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    Yes, I do, too. Option C.

    • one year ago
  28. OpenSessame Group Title
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    I Posted another question! Thanks!

    • one year ago
  29. Directrix Group Title
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    I'll look for it.

    • one year ago
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