Question

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

Answer 1

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?

Answer 2

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

Answer 3

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

Answer 4

i cut the triangle in half

Answer 5

it*

Answer 6

It divides the angle into two

Answer 7

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

Answer 8

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

Answer 9

ohh okay.

Answer 10

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

Answer 11

well, I know its not C nor B

Answer 12

Why not C?

Answer 13

because the measure of angle XQR is 70 not 35 right

Answer 14

wait, looking at the wrong problem...

Answer 15

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

Answer 16

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

Answer 17

Angle PQR is 70

Answer 18

ohhh, okay, then that would make C the answer

Answer 19

Right

Answer 20

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

Answer 21

Which length is the radius for first question?

Answer 22

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?

Answer 23

Dotted line is the radius

Answer 24

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

Answer 25

Why did you think the dotted line is the radius?

Answer 26

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

Answer 27

I remember learning that about radius in school

Answer 28

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

Answer 29

here's where circumcentre comes into play

Answer 30

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

Answer 31

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

Answer 32

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

Answer 33

I cant remember the exact formula

Answer 34

No need of any formula

Answer 35

Do you know what does circumcentre mean?

Answer 36

where the three perpendicular bisectors meet?

Answer 37

And it's also the centre of circle

Answer 38

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

Answer 39

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

Answer 40

And OR is the radius

Answer 41

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

Answer 42

No problem

Answer 43

Are you good at chemistry?

Answer 44

somewhat, im taking chemistry this year...

Answer 45

I know the basic;s of chemistry pretty well

Answer 46

basic's*

Answer 47

What is hardwater?

Answer 48

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

Answer 49

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

Answer 50

Ok, thanks

Answer 51

np :)