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

Question

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

anonymous · Answer

@Directrix

directrix · Answer

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.

directrix · Answer

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

anonymous · Answer

No i looked it up..

directrix · Answer

That's good.

anonymous · Answer

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

directrix · Answer

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.

directrix · Answer

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

anonymous · Answer

ca and fd?

directrix · Answer

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

directrix · Answer

This is the diagram I'm seeing.

directrix · Answer

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

anonymous · Answer

Then i have no idea...

directrix · Answer

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

directrix · Answer

Arc AB and Arc what?

anonymous · Answer

DE?

directrix · Answer

Yes, Arc AB and Arc DE are congruent.

anonymous · Answer

So thats what we know?

directrix · Answer

That is what I conclude from the diagram. If you have answer options, it may be that we are to choose from among those.

anonymous · Answer

That was one of them

directrix · Answer

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

anonymous · Answer

i have cab and fde?

directrix · Answer

I don't see that as being correct.

anonymous · Answer

me Either

directrix · Answer

http://www.mhsweather.org/images/Geometry_Chapter_12_Test_SAMPLE.pdf

anonymous · Answer

I think what we said first is right.

directrix · Answer

Yes, I do, too. Option C.

anonymous · Answer

I Posted another question! Thanks!

directrix · Answer

I'll look for it.