Relationship of circles and polygons

[Harry_the_cat]

The point Q is where the same tangent touches the other circle. Yes?

 

[Ihatdogs10]

yes external

 

[Harry_the_cat]

Ok. so what do you know about the angle formed at P between the radius XP and the tangent PQ?
This is one of the circle theorems I have been asking you about.

 

[Ihatdogs10]

angle pox?

 

[Ihatdogs10]

is that secant and a tangent?

 

[Harry_the_cat]

angle pox?

No, the angle XPO or XPQ , they are the same angle.

 

[Harry_the_cat]

is that secant and a tangent?

it's a radius and a tangent

 

[Ihatdogs10]

ahhh okay that is not written on my book thats why I dont know it

 

[Harry_the_cat]

ahhh okay that is not written on my book thats why I dont know it

But you know what a radius is, so XP is a radius.
And you know what a tangent is, so PQ (or PO, it's the same line) is a tangent.

 

[Harry_the_cat]

Now, can you look in your textbook for something called "circle theorems". I would think, since you have been given this problem to do, that you should know those.

 

[Ihatdogs10]

But you know what a radius is, so XP is a radius.
And you know what a tangent is, so PQ (or PO, it's the same line) is a tangent.

yes

 

[Ihatdogs10]

Now, can you look in your textbook for something called "circle theorems". I would think, since you have been given this problem to do, that you should know those.

yes in my textbook it has a lot of theorems, what kind of theorems I should look for?

 

[Harry_the_cat]

Now, can you look in your textbook for something called "circle theorems". I would think, since you have been given this problem to do, that you should know those.

 

[Harry_the_cat]

It'll look something like this:

 

[Harry_the_cat]

Have you seen these before?

 

[Ihatdogs10]

is it central and inscribed?

 

[Harry_the_cat]

is it central and inscribed?

No you don't have to worry about that yet.
Just look for your basic circle theorems. See post above.

 

[Ihatdogs10]

Have you seen these before?

somee , radius and tangent form a right angle is new to me

 

[Ihatdogs10]

5 theorems is only familiar to me

 

[Harry_the_cat]

Ok , so the one about the radius and tangent forming a right angle is the appropriate one here.
So, back to one of the first questions I asked, what is angle XPO?