Geometry Proofs

  • Thread starter Dagenais
  • Start date
  • #1
Dagenais
283
4
In this book I am reading about Geometry, it is teaching on how to prove things.

It gives a bunch of examples that don't make much sense to me.

It has the picture, statement and the givens...then the Proof (what the writer is proving).

I am assuming that there was a theorem previous to this to prove, or do you have to chose something yourself to prove in Geometry?
 

Answers and Replies

  • #2
selfAdjoint
Staff Emeritus
Gold Member
Dearly Missed
6,881
10
I'll bet you are supposed to intuit the theorem in the process of working out the proofs. The book is not trying to teach you geometry but to teach you how creative mathematicians work.
 
  • #3
Dagenais
283
4
I don't think so.

It gives a picture, and then the givens, and then the Proof Statement.

I was simply wondering when I start Geometry class, will I have to figure out what to prove myself, or will there be a theorem for me that I have to prove?
 
  • #4
Integral
Staff Emeritus
Science Advisor
Gold Member
7,253
63
I am sure that you will start by proving a set of theorems based on the fundamental Axioms, then you will use those theorems to prove more involved theorems. The theorems you will be proving have been known for centuries, you will not have to come up with them on your own.
 
  • #5
Dagenais
283
4
Okay, so basically they will ask me what to prove, and I won't have to find out myself, what I have to prove right?

I was looking at the book and it didn't make any sense, I could chose dozens of things to prove, I thought that their must be a Theorem that they give you to prove.
 
  • #6
Integral
Staff Emeritus
Science Advisor
Gold Member
7,253
63
Be patient, there will be plenty of theorems to prove.
 
  • #7
HallsofIvy
Science Advisor
Homework Helper
43,021
970
You said "It has the picture, statement and the givens".

The "statement" IS the theorem to be proven. The "givens" are a precise statement of the hypotheses of the theorem.
 

Suggested for: Geometry Proofs

  • Last Post
Replies
4
Views
463
  • Last Post
Replies
1
Views
440
Replies
38
Views
451
Replies
1
Views
305
Replies
18
Views
351
Replies
1
Views
294
  • Last Post
Replies
2
Views
499
  • Last Post
Replies
3
Views
983
Replies
29
Views
758
  • Last Post
Replies
1
Views
535
Top