TED-ED: How to prove a mathematical theory - Scott Kennedy

The video tutorial explains the significance of proofs in various fields, starting with Euclid's role in formalizing mathematics through axioms. It provides an example of proving triangle congruence using the Side-Side-Side Congruence Theorem. The tutorial highlights the importance of studying proofs, citing their applications in architecture, art, and technology, and mentions the potential financial rewards for solving complex mathematical problems.

Who is considered the father of geometry and known for formalizing mathematics?

• Pythagoras

• Euclid

• Archimedes

• Aristotle

What is the purpose of using axioms in mathematics according to Euclid?

• To simplify calculations

• To prove theorems and ideas

• To create new mathematical operations

• To memorize mathematical formulas

In the triangle congruence proof, what property states that everything is congruent to itself?

• Symmetric Property

• Transitive Property

• Reflexive Property

• Associative Property

What theorem is used to prove the congruence of two triangles by comparing their sides?

• Angle-Side-Angle Theorem

• Angle-Angle-Side Theorem

• Side-Angle-Side Theorem

• Side-Side-Side Theorem

What is one of the potential rewards for solving a Millennium Problem?

• A patent

• A million dollars

• A scholarship

• A Nobel Prize