Geometry Question

[Sammy gags]

I know that there is a theorem that states"If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal", but how would i prove it?

[XenHu]

I know that there is a theorem that states"If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal", but how would i prove it?

Are you trying to get us to do your homework Sammy?

I won't do it.. That would be cheating

-X

[AndyDufresne]

I bet it searched on google, you could find it.


--Andy

[Sammy gags]

i did, i found the theorem repeated over & over again but i never found a site that proved it

[XenHu]

i did, i found the theorem repeated over & over again but i never found a site that proved it

Try...oh I don't know... A book?

What a concept

[Sammy gags]

if i could just look in my book, y would my teacher give it 2 me 4 hw?

[XenHu]

if i could just look in my book, y would my teacher give it 2 me 4 hw?

I....Oh nvm...I'm distracting you.

Get back to your homework

[Sammy gags]

any help would be nice...

[cricket]

use real numbers as replacements for the unknown

[Evil Pope]

Do your own homework.. or don't do it at all.. Thats what I do..

But wouldn't you just prove it by showing that the equation works?

[Sammy gags]

no, we need 2 use a 2 column proofs

[rathersane]

What do you have so far?

[vtmarik]

I know that there is a theorem that states"If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal", but how would i prove it?

Step 1: Go to Wikipedia
Step 2: Look up mathematical theorems
Step 3: Find theorem in question
Step 4: Print out the page with the theorem
Step 5: Highlight proofs on page and hand to instructor
Step 6 (optional): Staple to instructor's head


http://library.thinkquest.org/20991/geo/circles.html
http://www.123helpme.com/view.asp?id=93621

[rathersane]

Step 6 (optional): Staple to instructor's head

This might produce unintended results.

[Sammy gags]

1) <D congruent <B/inscribed <'s
2) <A congruent <C/inscribed <'s
3) <APB congruent <CPD/vertical <'s
4) tri< APB~tri<CPD

[rathersane]

And so you have a proportion:

BP:AP as DP:CP

I'm not quite sure where to go next, it's been many years, but I hope that helps...

[Sammy gags]

thats where im stumped at, i dont know how 2 prove the theorum from there

[rathersane]

Cross-multiply the proportion like you learned in Algebra:

BP:AP as DP:CP

BP•CP = AP•DP

I believe this proves the products of your chord segments to be equal.

[spiesr]

Cross-multiply the proportion like you learned in Algebra:

BP:AP as DP:CP

BP•CP = AP•DP

I believe this proves the products of your chord segments to be equal.

And therefor AP=(BP•CP)/DP

[Sammy gags]

i dont know how id put that in2 a 2 column proof though

[Econ2000]

hmm 55minutes

[rathersane]

Refresh my memory: What's a two-column proof?

[DogDoc]

When I was in school, I had to do these the old fashioned way. I copied them from my friend's homework!

[rathersane]

Last time I did a geometry proof, the Internet was still text-only!

[Sammy gags]

statement/reason or theorem