Introduction to Theorems (Junior Cert Mathematics): Flashcards

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Introduction to Theorems
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Definition of axiom

A basic rule accepted as true without proof

Example of an axiom

Through any two points, there is exactly one line

Definition of theorem

Statement that can be proven to be true

Famous example of a theorem

Pythagoras' Theorem

Definition of proof

Steps showing why a theorem is true

Definition of corollary

Bonus fact that comes from a theorem

Corollary from 180°180° triangle angle sum

Each angle in equilateral triangle is 60°60°

Definition of converse

If PP then QQ flipped to If QQ then PP

Truth value of converses

Sometimes true, sometimes not; must be checked

Definition of implies

One statement leads to another

Symbol for implies

=>=>

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