Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#4 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-04 04:02:46

Did someone found out s.th. helpful or anything else at least?

#5 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-03 01:48:32

Okay, I understand what you are saying. I think it's helpful, so one only has to prove by using this finding such moves are impossible to get to the set.

#6 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-03 01:05:12

Hi.
What you wrote seems to be logic. However, I don't understand what you mean by parity. Could you enlarge on that?

#7 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-02 13:07:58

Yeah, you are right.
However, I have tried it quite intensively, I tend to say it is not possible. I am just lacking a proof as I cannot just say I didn't manage to move them...

#8 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-02 10:14:26

Hmm, Jane, the method seems to be interesting, however, there are infinite possible final moves...
Moreover, how can I prove a certain move is impossible?

#9 Re: Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-02 10:12:37

Yes, they are, as long as they don't break the rule: To reposition a point, there must be another point exactly in the middle between the new and the old position. Therefore diaganoal moves are allowed.

#12 Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-02 08:20:56

Thomas11
Replies: 15

Hi, I really need your help. My Maths teacher wants me to do a presentation on the follwoing problem to improve my Maths mark. I just don't know how to do that task. Please help me.

There are 4 points on a plane coordinate system.
These points have the following coordinates:
1.(0;0)
2.(1;0)
3.(0;1)
4.(1;1)
These 4 points are to be repositioned.
You may only reposition points in the following way:
You may only change the position of a point, if there is another
point exactly in the middle between the original and the new
position of the point.

Now, I have to prove whether or whether not it is possible to
reposition the points, in order to get the following coordinates:
1.(0;0)
2.(1;1)
3.(2;-1)
4.(3;0)

I've tried this little game quite intensively and I'm sure it is impossible but I still can't prove it.

#13 Help Me ! » Geometric or algebraic problem...I don't know » 2008-02-02 08:18:33

Thomas11
Replies: 0

There are 4 points on a plane coordinate system.
These points have the following coordinates:
1.(0;0)
2.(1;0)
3.(0;1)
4.(1;1)
These 4 points are to be repositioned.
You may only reposition points in the following way:
You may only change the position of a point, if there is another
point exactly in the middle between the original and the new
position of the point.

Now, I have to prove whether or whether not it is possible to
reposition the points, in order to get the following coordinates:
1.(0;0)
2.(1;1)
3.(2;-1)
4.(3;0)

#15 Re: Help Me ! » Geometric proof wanted (triangle, bisector) » 2007-02-10 05:22:09

Uh, please inform me, even if you only find s.th. that might be helpful, I'll appreciate your efforts.

#16 Re: Help Me ! » Geometric proof wanted (triangle, bisector) » 2007-02-06 03:31:07

Has anybody found s.th. interesting or helpful yet? (me not -.-')

#17 Re: Help Me ! » Geometric proof wanted (triangle, bisector) » 2007-02-02 23:03:20

Thomas11 wrote:

Hello, that is my problem:
There is a triangle ABC. On the side AC there is a point E and on the side BC there is a point F. Besides you must notice that the line segment AE is as long as the line segment BF. So: AE=BF
Then one examines the circumscribed circles of the two triangles, which are a part of the triangle ABC, AFC and BEC. These circumscribed triangles subtend each other at the point C and at another point D. Finally it is to prove that the line segment with the starting point C and the ending point D is the bisector of the angle gamma (the angle at the point C).

    Please help me, I am nearly desperate... I just don't know how tpó proof this...

Now the picture matches the exercise, I named s.th. wrong. Now it should be right.

#18 Re: Help Me ! » Geometric proof wanted (triangle, bisector) » 2007-02-02 13:07:28

kylekatarn wrote:
Stanley_Marsh wrote:

What? how can the segment CF besect any angle? Name the angle gamma ,I don't really understand ,lol

Segment CF bissects angle gamma.

It's segment CD. Segment CF is a part of the triangle side a. Have a look at the picture. wave

#19 Re: Help Me ! » Geometric proof wanted (triangle, bisector) » 2007-02-02 07:26:02

Did the picture help you to understand my problem?

#20 Re: Help Me ! » solve system by addition » 2007-02-02 03:09:21

Here's the solution:

2x+3y=1
5x+3y=16 | 3x=15, x=5

5*5+3y=16
25+3y=16
3y=-9
y=-3

x=5
y=-3

Board footer

Powered by FluxBB