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geometry - halfway

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geometry - halfway

by Xbond » Mon Aug 03, 2009 10:37 pm
Hi there,

I woud like your input about this difficult geometry question. Someone can explain to me in simple way the concept. Sorry, I don't know the answer. LOOK at the attachment

On the number line shown, is zero halfway between, r and s ?

(1) s is to the right of zero.
(2) The distance between t and r is the same as the distance between t and -s.
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by real2008 » Wed Aug 05, 2009 12:22 am
IS it C?
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by Xbond » Wed Aug 05, 2009 9:48 am
explanation, please
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by maihuna » Wed Aug 05, 2009 10:05 am
Its basically an modulus (number line) question.

using 2: dist between t and r = dist between t ans -s
or |t-r| = |t+s|
case I: t-r = t+s =>r+s = 0 or r = -s so if s is positive r is negative and vice versa. if r = -5 s = 5 , here will be number line:
------|-----------|------
-5 5

for r = -5 s = 5 so 0 will be halfway between r and s


case II: t-r = -(t+s) => t-r = -t-s => 2t = r-s or t = 1/2(r-s)
I m not sure how to proceed with this case though..
Charged up again to beat the beast :)
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by Xbond » Sun Aug 09, 2009 8:56 am
the right answer is C
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