Question

can someone help me review postulates, theorem, undefined, and defined terms in Geometry without google. I feel like I am still not 100% good on them.

Answer 1

um. what?

Answer 2

i just want to review what they are :/

Answer 3

make flash cards if you need to memorize them. But I think the best way to remember theorems and stuff is to understand why they are true, and then they become "obvious"

Answer 4

um...

Answer 5

I just need a quick review before my lesson

Answer 6

There are 10000s of theorems in geometry. We have no idea what you are learning.

Answer 7

i mean the definition what am theorem is..

Answer 8

and how to recognize all the 4 terms i just listed

Answer 9

A theorem is just a statement. Like if a number is even, then its square is even

Answer 10

a postulate is the same thing, but with no proof.

Answer 11

Undefined term - a term used in Geometry that has no definition. We just try to explain what it is.
Postulate or axiom - a statement that is assumed to be true.
Theorem - a true statement that can be proved using definitions, postulates, and previously proved theorems.

Answer 12

The definitions of these terms are a bit weird and differ throughout the world.

Many say that a Axiom/postulate should be self evident. But some axioms are not. Like axiom of choice. It can be stated in a way that is not self evident at all and in fact seems wrong, but most of us take it for true.

Answer 13

p.s. we get out definitions from google :)

Answer 14

Real number properties are statements about numbers that are accepted as true.

A theorem is a statement that is shown to be true by the use of a logically developed argument.

A proof is logical reasoning that uses given facts, definitions, and previously proved theorems to show that a theorem is true.

Answer 15

Real number properties are statements about numbers that are accepted as true.

^^ I dont agree with that.

The real numbers are dense and this is surely not assumed.

Answer 16

A set of numbers is said to be dense if, for any two numbers in the set we can find another number that is between those two numbers and is also a member of that set.

Answer 17

The proper fractions less than 1 are obviously dense.

Answer 18

right. That is a property of real numbers that we do no assume to be true. We prove it.

Answer 19

the word "property" in mathematics is vague

Answer 20

@skullpatrol that is 0% of the numbers :)