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OpenSessame

  • one year ago

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

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  1. OpenSessame
    • one year ago
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    @Directrix

  2. Directrix
    • one year ago
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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.

  3. Directrix
    • one year ago
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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

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

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

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

  7. Directrix
    • one year ago
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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.

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

  9. OpenSessame
    • one year ago
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    ca and fd?

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

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

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

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

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

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

  16. OpenSessame
    • one year ago
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    DE?

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

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

  19. Directrix
    • one year ago
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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.

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

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

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

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

  24. OpenSessame
    • one year ago
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    me Either

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

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

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

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

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

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