prove Midpoint thm w/ synthetic, analytic, vector techniques

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ReadytoLearn

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Apr 15, 2009
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I am new to these forums and thank you for them.

I need to prove the Midpoint theorem by the means on synthetic, analytic and vector techniques.
"The line segment joining the midpoints of two sides of a triangle is parallel to the third side and one-half its length."

I am getting confused with the techniques. Is there someone who can prove these and help me understand the difference between the three types.

Thanks,
 
Re: Hi - and need you help..

ReadytoLearn said:
Thanks for that but what type of technique is that? What is the difference between the three?

What does your text-book/class-notes say?

Do a google search - come back and tell us what you found.
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I have been googling for a few days and seem to get more confused each day. My online course of study doesn't really help in this situation. I have tried contacting my community mentor and gives me some advice that hasn't helped much easier.

What I believe I know is that synthetic proofs are proved with the aid of postulates and proofs that have gone before. They cover all geomtetry and has been with us since the acient greeks.

Analytic and Vector are more recent with A using coordinates and V not.

I am just very confused right now and need a push in the right direction.

Not sure what the next step is just feel very frustrated.

I know and understand to do this proof but don't know which technique I am using. http://www.geocities.com/ibgeometry/midlineproof.html I believe its synthetic but not sure. If it is I wouldn't know how to start the other two.
 
ReadytoLearn said:
I have been googling for a few days and seem to get more confused each day. My online course of study doesn't really help in this situation. I have tried contacting my community mentor and gives me some advice that hasn't helped much easier.

What I believe I know is that synthetic proofs are proved with the aid of postulates and proofs that have gone before. They cover all geomtetry and has been with us since the acient greeks.

So the page suggested by Aladdin - provides you with a geometric proof.

Analytic and Vector are more recent with A using coordinates and V not.

Have you taken any preliminary courses in Analytic geometry or Vector geometry? If not - then I don't see the point of this excercize.

I am just very confused right now and need a push in the right direction.

Not sure what the next step is just feel very frustrated.
Click to expand...
 
Subhotosh Khan said:
ReadytoLearn said:
I have been googling for a few days and seem to get more confused each day. My online course of study doesn't really help in this situation. I have tried contacting my community mentor and gives me some advice that hasn't helped much easier.

What I believe I know is that synthetic proofs are proved with the aid of postulates and proofs that have gone before. They cover all geomtetry and has been with us since the acient greeks.

So the page suggested by Aladdin - provides you with a geometric proof.

Analytic and Vector are more recent with A using coordinates and V not.

Have you taken any preliminary courses in Analytic geometry or Vector geometry? If not - then I don't see the point of this excercize.

Neither do I but it's what they want me to do. I will continue to try and find the answers that I need. Just looking for some help



I am just very confused right now and need a push in the right direction.

Not sure what the next step is just feel very frustrated.
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Click to expand...
 
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