Unit 13- Geometry as a Mathematical System Flashcards
0
Q
Theorem
A
A conjecture that has been proven
1
Q
Deductive system
A
A set of premises, or accepted facts, to organize geometry properties
2
Q
Postulate
A
A statement that does not need to be proved and is accepted as true
3
Q
a+b=b+a
A
Commutative property of addition
4
Q
ab=ba
A
Commutative property of multiplication
5
Q
(a+b)+c=a+(b+c)
A
Associative property of addition
6
Q
(ab)c=a(bc)
A
Associative property of multiplication
7
Q
a(b+c)=ab+ac
A
Distributive POE
8
Q
a=a
A
Reflexive POE
9
Q
if a=b and b=c, then a=c
A
Transitive POE
10
Q
if a=b, then b=a
A
Symmetric POE
11
Q
if a=b, then a+b=c+b
A
Addition POE
12
Q
if a=c, then a-b=b-c
A
Subtraction POE
13
Q
if a=b, then ac=bc
A
Multiplication POE
14
Q
if a^2=b, then a=(plus or minus the square root of b)
A
Square root POE
