geometry unit 2 quiz 2
2(4+5)=2(4)+2(5)
distributive property of equality
expression
a number, symbol, or group of numbers and/or symbols with their operations used to express some mathematical fact, quantity, or value
geometric property
a property that compares the congruence of one geometric figure with the same or another geometric figure
algebraic property
a universally accepted statement about an algebraic expression or equation that holds true in every instance in which the conditions of the property are met
Comunitive property of addition
for all expressions a and b, a+b=b+a ab=ba
For any geometric figures A , B , and C , if A≅B and B≅C , then A≅C .
transitive
For all expressions a , b , and c , if a = b and b = c , then a = c .
transitive property of equality
For any geometric figure A , A≅A .
reflexive
For all expressions a , b , and c , if a=b then ac=bc .
multiplication property of equality
Which property is illustrated? XY¯≅XY¯
reflexive property of congruence
For every expression a, a=a .
reflexive property of equality
For all expressions a and b , if a=b , then b can be substituted for a in any expression.
substitution property of equality
For all expressions a , b , and c , if a=b , then a-c=b-c .
subtraction property of equality
If x+3=2x+6 , then x+3-3=2x+6-3 .
subtraction property of equality
For any geometric figures A and B , if A≅B , then B≅A .
symmetric
Which property is illustrated? ∠A≅∠B so ∠B≅∠A
symmetric property of congruence
3 x 10 = 30 and 30=5×6 so 3×10=5×6
transitive property of equality
Symmetric Property of Congruence
for any geometric figures A and B, if A≅B, then B≅A
For all expressions a , b , and c , if a=b , then a+c=b+c .
addition property of equality
For all expressions a , b , and c , a+(b+c)=(a+b)+c
associative property of addition
For all expressions a , b , and c , (ab)c=a(bc)
associative property of multiplication
x+9=9+x
communitive property of addition
For all expressions a and b , a+b=b+a
commutative property of addition
For all expressions a and b , ab=ba .
commutative property of multiplication
For all expressions a , b , and c , a(b+c)=ab+ac
distributive property of equality
For all expressions a , b , and c , if a=b and c≠0 , then a/c=b/c .
division property of equality
Symmetric Property of Equality
for all expressions a and b, if a=b, then b=a
Substitution Property of Equality
for all expressions a, and b, if a=b then b can be substituted for a in any expression
Associative Property of Addition
for all expressions a, b, and c, (a+b)+c=a+(b+c) (ab)c=a(bc)
Distributive Property of Multiplication
for all expressions a, b, and c, a(b+c)=(ab)+(ac)
Transitive Property of Equality
for all expressions a, b, and c, if a=b and b=c, then a=c
Division Property of Equality
for all expressions a, b, and c, if a=b and c≠0, then, a/c=b/c
Addition Property of Equality
for all expressions a, b, and c, if a=b, then a+c=b+c
Subtraction Property of Equality
for all expressions a, b, and c, if a=b, then a-c=b-c
Multiplication Property of Equality
for all expressions a, b, and c, if a=b, then ac=bc
Reflexive Property of Congruence
for any geometric figure A, A≅A
Transitive Property of Congruence
for any geometric figures A, B, and C, if A≅B and B≅C, then A≅C
Reflexive Property of Equality
for every expression a, a = a
For all expressions a and b , if a=b then b=a .
symmetric property of equality
If x=y , then y=x .
symmetric property of equality
