The figure below shows triangle PQR with a circumscribed circle of radius 7 inches.
http://assets.openstudy.com/updates/attachments/505b3fd4e4b0cc122893ea30-renee99-1348157619927-456845882011121142pm1902385864.png
Which segment must measure 7 inches?
A. segment RO
B. segment RQ
C. the angle bisectors
D. the perpendicular bisectors

- anonymous

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- schrodinger

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- anonymous

there's also this one:
Look at triangle PQR.
http://assets.openstudy.com/updates/attachments/505b3fd4e4b0cc122893ea30-renee99-1348157849369-456845882011122801pm596145625.png
Segment QX is an angle bisector. Which statement must be true?
A. length of segment XP = 6 inches
B. length of segment XQ = 4 inches
C. measure of angle XQR = measure of angle XQP = 35˚
D. measure of angle QRX = 180˚ – (90˚+ 35˚) = 180˚ – (125˚) = 55˚
I think the answer is A, is that right?

- anonymous

I don't know the first one, but I think the second one is A

- anonymous

Segment QX is an angle bisector. What do you understand by this?

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## More answers

- anonymous

i cut the triangle in half

- anonymous

it*

- anonymous

It divides the angle into two

- anonymous

and half of 12 is 6 so that's where I get my answer...

- anonymous

It does not divide the side, it only divides the angle.

- anonymous

ohh okay.

- anonymous

In case of an isosceles triangle, it divides the opposite side also.

- anonymous

well, I know its not C nor B

- anonymous

Why not C?

- anonymous

because the measure of angle XQR is 70 not 35 right

- anonymous

wait, looking at the wrong problem...

- anonymous

hold on im mixed up, was looking at the other problems pic... lol

- anonymous

but yeah, the angle is 70 and not 35 isnt it?

- anonymous

Angle PQR is 70

- anonymous

ohhh, okay, then that would make C the answer

- anonymous

Right

- anonymous

because half of 70 is 35! okay thanks so much! could u maybe help me with the first one now?

- anonymous

Which length is the radius for first question?

- anonymous

well, its says a circumscribed circle of radius 7 inches, which kind of confuses me, but I always thought the radius was the doted line?

- anonymous

Dotted line is the radius

- anonymous

okay, so now how do we find the measure that equals 7 inches?

- anonymous

Why did you think the dotted line is the radius?

- anonymous

Idk, I think its a subconscious thing, I just remember that the dotted line should be the radius?

- anonymous

I remember learning that about radius in school

- anonymous

If you want to conclude that OR is radius, then you must prove that O is the centre of the circle.

- anonymous

here's where circumcentre comes into play

- anonymous

okay... so then would that mean that the answer is A, since we're saying it's the radius?

- anonymous

Answer is right, but you cannot just conclude that OR is radius. The main question is that you need to prove that OR is radius

- anonymous

okay, isn't there a formula for that, I don't have my formula sheet with me, but if I remember correctly, isn't something like 3.14(R)^2

- anonymous

I cant remember the exact formula

- anonymous

No need of any formula

- anonymous

Do you know what does circumcentre mean?

- anonymous

where the three perpendicular bisectors meet?

- anonymous

And it's also the centre of circle

- anonymous

In the picture, two pependicular bisectors meet, which means the third perpendicular bisector would also meet at the same point.

- anonymous

by this you can conclude that O is the centre of circle.

- anonymous

And OR is the radius

- anonymous

gotcha, thanks for ur help! I really really appreciate it!

- anonymous

No problem

- anonymous

Are you good at chemistry?

- anonymous

somewhat, im taking chemistry this year...

- anonymous

I know the basic;s of chemistry pretty well

- anonymous

basic's*

- anonymous

What is hardwater?

- anonymous

I believe hard water is water that has high mineral content...

- anonymous

or something like that, not sure, look it up?

- anonymous

Ok, thanks

- anonymous

np :)

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