## OpenSessame 2 years ago Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A. https://study.ashworthcollege.edu/access/content/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_12_files/mc011-2.jpg

1. OpenSessame

Column A: AP Column B: AX

2. OpenSessame

A. The quantity in Column A is greater. B. The quantity in Column B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.

3. Mandre

From what I can see D is the answer, but I might be missing something so maybe someone who knows better than me will answer :).

4. OpenSessame

Okay, thanks:)

5. OpenSessame

@Directrix Help me out again please?

6. Directrix

Are we given that segment AP is a tangent to the circle. This type problem, Quantitative Comparison, was on the SATs at one time. So, if segment AP is a tangent, it will be stated. Look at the question and see. And, if there are several questions based on this diagram, look above the first question for given information.

7. OpenSessame

Whats given, im not sure how to read the picture?

8. OpenSessame

I just know the two things im supposed to compare and that AP is tangent.

9. dumbcow

ok here is what you need...look at first 2 theorems http://en.wikipedia.org/wiki/Circles#Theorems

10. dumbcow

from those you can find.... AX = 9 AP = 2sqrt13

11. Directrix

AP = 2sqrt13 is based on the assumption that segment AP is a tangent, is it not? @dumbcow

12. dumbcow

it states that AP is tangent to circle

13. Directrix

@OpenSessame The solution for AX comes from this theorem:

14. OpenSessame

So that would mean that AP is bigger?

15. OpenSessame

The problem is thats what i got at first and it said it was wrong. And Directrix is says that PA is tangent of the circle.

16. dumbcow

in original post "Compare the quantity in Column A with the quantity in Column B. PA is tangent to the circle at A. "

17. Directrix

1) The problem is thats what i got at first and it said it was wrong. --> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong? 2) is says that PA is tangent of the circle. Okay. Finally, I see it. Thanks for your patience on that.

18. Directrix

@OpenSessame Tell me about this: 1) The problem is thats what i got at first and it said it was wrong. --> I don't know what you are saying here. What did you write the first time and was told what you wrote is wrong?

19. OpenSessame

That AP is the bigger quantity.

20. Directrix

AX = 9 = sqrt(81) ----> LARGER AP = 2sqrt13 = sqrt(52)

21. OpenSessame

So the answer would be B?

22. Directrix

Yes.

23. OpenSessame

Okay thanks! I have a few other questions i need help with...

24. Directrix

Close this thread and open a new post. I'll meet you at the new post.

25. OpenSessame

Okay!