Point O is the center of a circle passing through points A, B, and C. Which statement about ABC is true?

Question

Point O is the center of a circle passing through points A, B, and C. Which statement about  ABC is true?

anonymous · Answer

A) OA bisects A.
B) OA bisects BC .
C) OA is perpendicular to BC
D) The perpendicular bisectors of AB , BC , and AC pass through O.
E) The bisectors of AB, BC , and AC through O have equal lengths.

anonymous · Answer

@IMStuck , could you help please?(:

imstuck · Answer

I'm here!!! Do you have a picture of this?  I'm losing the specifics of it trying to decipher the way it looks.

anonymous · Answer

they didn't give me a picture. just the question and answers! this ones really hard!

imstuck · Answer

Ok, then.  Let me have a go at this!  BRB!!

imstuck · Answer

Ok, wow.  I think I found it but it is kukoo.  Here is what I have drawn.  Bear with me.|dw:1402330166921:dw|

imstuck · Answer

The segment tangent to the circle at each of the points creates a right angle.  See that?

anonymous · Answer

yes!

imstuck · Answer

Radius OA definitely does not bisect BC, which is the second choice.  So it's not that one.  I skipped the first one on purpose.

anonymous · Answer

ok(:

imstuck · Answer

Can you have more than one answer that is correct here?

anonymous · Answer

i don't think so!

imstuck · Answer

|dw:1402330684558:dw|This is what results when you draw that.  Look at my first drawing.  ABC actually form a triangle.  If this is correct, then OA does bisect A, if A is an angle.  OA is also perpendicular to BC if this is a triangle.  The perpendicular bisectors of AB, BC, AC do pass through the center because that is the definition of a perpendicular bisector (it passes through the center).  And, because O is the center of the circle, hence the center of the triangle, all the radii that generate from O are equal in length.  Hmm...

imstuck · Answer

You definitely do not have an image for this?  Left to my own devices, that is what I came up with and I am confused if there is not supposed to be more than one answer.

anonymous · Answer

im just gonna take a good guess for this one, because nobody seems to know it! no worries! thank you so much for the help!!

imstuck · Answer

I think if I had to make the best guess out of the given, I'd pick A.  So sorry I couldn't be of more help to you!