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OpenSessame

  • 2 years 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
    • 2 years ago
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    @Directrix

  2. Directrix
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    No i looked it up..

  5. Directrix
    • 2 years ago
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    That's good.

  6. OpenSessame
    • 2 years 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
    • 2 years 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
    • 2 years ago
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    So, what are the two congruent arcs for central angles O and P.

  9. OpenSessame
    • 2 years ago
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    ca and fd?

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

  11. Directrix
    • 2 years ago
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    This is the diagram I'm seeing.

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

  13. OpenSessame
    • 2 years ago
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    Then i have no idea...

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

  15. Directrix
    • 2 years ago
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    Arc AB and Arc what?

  16. OpenSessame
    • 2 years ago
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    DE?

  17. Directrix
    • 2 years ago
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    Yes, Arc AB and Arc DE are congruent.

  18. OpenSessame
    • 2 years ago
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    So thats what we know?

  19. Directrix
    • 2 years 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
    • 2 years ago
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    That was one of them

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

  22. OpenSessame
    • 2 years ago
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    i have cab and fde?

  23. Directrix
    • 2 years ago
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    I don't see that as being correct.

  24. OpenSessame
    • 2 years ago
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    me Either

  25. Directrix
    • 2 years ago
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    http://www.mhsweather.org/images/Geometry_Chapter_12_Test_SAMPLE.pdf

  26. OpenSessame
    • 2 years ago
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    I think what we said first is right.

  27. Directrix
    • 2 years ago
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    Yes, I do, too. Option C.

  28. OpenSessame
    • 2 years ago
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    I Posted another question! Thanks!

  29. Directrix
    • 2 years ago
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    I'll look for it.

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