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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

  • 11 months ago
  • 11 months ago

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  1. OpenSessame Group Title
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    @Directrix

    • 11 months 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.

    • 11 months 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

    • 11 months ago
  4. OpenSessame Group Title
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    No i looked it up..

    • 11 months ago
  5. Directrix Group Title
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    That's good.

    • 11 months 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

    • 11 months 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.

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

    • 11 months ago
  9. OpenSessame Group Title
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    ca and fd?

    • 11 months 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.

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

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

    • 11 months ago
  13. OpenSessame Group Title
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    Then i have no idea...

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

    • 11 months ago
  15. Directrix Group Title
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    Arc AB and Arc what?

    • 11 months ago
  16. OpenSessame Group Title
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    DE?

    • 11 months ago
  17. Directrix Group Title
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    Yes, Arc AB and Arc DE are congruent.

    • 11 months ago
  18. OpenSessame Group Title
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    So thats what we know?

    • 11 months 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.

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

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

    • 11 months ago
  22. OpenSessame Group Title
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    i have cab and fde?

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

    • 11 months ago
  24. OpenSessame Group Title
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    me Either

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

    • 11 months ago
  26. OpenSessame Group Title
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    I think what we said first is right.

    • 11 months ago
  27. Directrix Group Title
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    Yes, I do, too. Option C.

    • 11 months ago
  28. OpenSessame Group Title
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    I Posted another question! Thanks!

    • 11 months ago
  29. Directrix Group Title
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    I'll look for it.

    • 11 months ago
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