## 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

1. OpenSessame

@Directrix

2. Directrix

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

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

No i looked it up..

5. Directrix

That's good.

6. OpenSessame

There is a whole bunch of them according to my textbook i didnt know which one you wanted

7. Directrix

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

So, what are the two congruent arcs for central angles O and P.

9. OpenSessame

ca and fd?

10. Directrix

There are no numbers on the diagram so I don't know where 11 comes from.

11. Directrix

This is the diagram I'm seeing.

12. Directrix

> ca and fd? No, these arcs are not cut off by the two angles.

13. OpenSessame

Then i have no idea...

14. Directrix

What are the names of the arcs I marked in blue in the attachment?

15. Directrix

Arc AB and Arc what?

16. OpenSessame

DE?

17. Directrix

Yes, Arc AB and Arc DE are congruent.

18. OpenSessame

So thats what we know?

19. Directrix

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

That was one of them

21. Directrix

Are the major arcs another option: Arc BCA is congruent to Arc EFD ?

22. OpenSessame

i have cab and fde?

23. Directrix

I don't see that as being correct.

24. OpenSessame

me Either

25. Directrix
26. OpenSessame

I think what we said first is right.

27. Directrix

Yes, I do, too. Option C.

28. OpenSessame

I Posted another question! Thanks!

29. Directrix

I'll look for it.