Examples of proofs involving geometrical forms

In summary, a proof involving geometrical forms is a mathematical argument that uses logical reasoning and the properties of geometric shapes to demonstrate the truth or validity of a statement or conjecture. Some common examples of these proofs include proving the Pythagorean theorem and the angle sum theorem. These proofs are used in real-world applications such as engineering and architecture. Common strategies for constructing these proofs include using definitions, postulates, and theorems and using diagrams and algebraic and geometric manipulations. While these proofs can be challenging to understand, with practice and patience, they can be learned by anyone.
  • #1
blumfeld0
148
0
I am looking for some good websites that have proofs involving parallelograms and rhombus'?
preferably in statement and reasons format

any help would be appreciated.

thank you
 
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  • #2
  • #3
Mattara said:
MathWorld is a good place to start :)

Yes, but they are quite confusing for a eight grader like me :cry:
 
  • #4
MadScientist 1000 said:
Yes, but they are quite confusing for a eight grader like me :cry:

Try this link out: http://www.math.psu.edu/geom/koltsova/index.html" .
 
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1. What is a proof involving geometrical forms?

A proof involving geometrical forms is a mathematical argument that uses logical reasoning and the properties of geometric shapes to demonstrate the truth or validity of a statement or conjecture.

2. What are some common examples of proofs involving geometrical forms?

Some common examples of proofs involving geometrical forms include proving the Pythagorean theorem, proving the angle sum theorem, and proving the properties of congruent triangles.

3. How are proofs involving geometrical forms used in real-world applications?

Proofs involving geometrical forms are used in many real-world applications, such as engineering, architecture, and physics, to solve problems and make predictions about the physical world.

4. What strategies are typically used to construct a proof involving geometrical forms?

Some common strategies used to construct a proof involving geometrical forms include using definitions, postulates, and theorems; drawing diagrams; and using algebraic and geometric manipulations.

5. Can proofs involving geometrical forms be challenging to understand?

Yes, proofs involving geometrical forms can be challenging to understand, as they often require a strong understanding of geometry concepts and logical reasoning skills. However, with practice and patience, anyone can learn to construct and understand these proofs.

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