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Prep question

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by jc114 » Mon Apr 16, 2007 6:53 am
There is a triange ABC with a line BD that is perpendicular to AC on the xy plane, where AB=BC and AC= BD, and A= (-8,0) and C=(20,o) (What are the coordinates of point B in the xy plane?

A (6,12)
B (6, 28)
C (8,20)
D (12,20)
E (14, 28)
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Source: — Problem Solving |

Re: Prep question

by jayhawk2001 » Mon Apr 16, 2007 8:25 pm
jc114 wrote:There is a triange ABC with a line BD that is perpendicular to AC on the xy plane, where AB=BC and AC= BD, and A= (-8,0) and C=(20,o) (What are the coordinates of point B in the xy plane?

A (6,12)
B (6, 28)
C (8,20)
D (12,20)
E (14, 28)
BD is the perpendicular bisector of line AC (as AB = BC).
So, D has a x co-ordinate of 6 (i.e. 20 - 28/2) and so does B.

Since BD = AC = 28 (20 - (-8 )) , B has a y co-ordinate of 28

I choose B (6,28 )

What is the OA ?
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by RAGS » Tue Apr 17, 2007 6:32 am
jc please remove smileys from the options so that it is easy to read them
I was stuck up bcos i didnt see any option with a 28 as y co-ordinate
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by jayhawk2001 » Tue Apr 17, 2007 8:56 pm
RAGS wrote:jc please remove smileys from the options so that it is easy to read them
I was stuck up bcos i didnt see any option with a 28 as y co-ordinate
It is actually a combination of 8 and ) that is causing this.

For example if you have 8 followed by ) you get "8)"

Maybe one can use 8-space-) to offset the smiley problem as in "8 )"
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by jc114 » Wed Apr 18, 2007 6:23 am
Oh sorry i didn't know the smilies there...the OA is B
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