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Geometry Question
Posted:
Wed Jan 03, 2007 8:19 pmby 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?
Re: Geometry Question
Posted:
Wed Jan 03, 2007 8:21 pmby XenHu
Sammy gags wrote: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
Posted:
Wed Jan 03, 2007 8:22 pmby AndyDufresne
I bet it searched on google, you could find it.
--Andy
Posted:
Wed Jan 03, 2007 8:28 pmby Sammy gags
i did, i found the theorem repeated over & over again but i never found a site that proved it
Posted:
Wed Jan 03, 2007 8:30 pmby XenHu
Sammy gags wrote: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
Posted:
Wed Jan 03, 2007 8:35 pmby Sammy gags
if i could just look in my book, y would my teacher give it 2 me 4 hw?
Posted:
Wed Jan 03, 2007 8:38 pmby XenHu
Sammy gags wrote: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
Posted:
Wed Jan 03, 2007 8:41 pmby Sammy gags
any help would be nice...
Posted:
Wed Jan 03, 2007 8:43 pmby cricket
use real numbers as replacements for the unknown
Posted:
Wed Jan 03, 2007 8:43 pmby 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?
Posted:
Wed Jan 03, 2007 8:50 pmby Sammy gags
no, we need 2 use a 2 column proofs
Posted:
Wed Jan 03, 2007 8:52 pmby rathersane
What do you have so far?
Re: Geometry Question
Posted:
Wed Jan 03, 2007 8:56 pmby vtmarik
Sammy gags wrote: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
Re: Geometry Question
Posted:
Wed Jan 03, 2007 9:01 pmby rathersane
vtmarik wrote:Step 6 (optional): Staple to instructor's head
This might produce unintended results.
Posted:
Wed Jan 03, 2007 9:06 pmby 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
Posted:
Wed Jan 03, 2007 9:14 pmby 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...
Posted:
Wed Jan 03, 2007 9:18 pmby Sammy gags
thats where im stumped at, i dont know how 2 prove the theorum from there
Posted:
Wed Jan 03, 2007 9:27 pmby 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.
Posted:
Wed Jan 03, 2007 9:56 pmby spiesr
rathersane wrote: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
Posted:
Thu Jan 04, 2007 5:27 pmby Sammy gags
i dont know how id put that in2 a 2 column proof though
Posted:
Thu Jan 04, 2007 5:28 pmby Econ2000
hmm 55minutes
Posted:
Thu Jan 04, 2007 8:42 pmby rathersane
Refresh my memory: What's a two-column proof?
Posted:
Thu Jan 04, 2007 8:44 pmby DogDoc
When I was in school, I had to do these the old fashioned way. I copied them from my friend's homework!
Posted:
Thu Jan 04, 2007 8:50 pmby rathersane
Last time I did a geometry proof, the Internet was still text-only!
Posted:
Thu Jan 04, 2007 8:50 pmby Sammy gags
statement/reason or theorem