Study sets matching "geometry properties"

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Study sets matching "geometry properties"

5 terms
Geometry Properties
Trapezoid
Parallelogram
Rectangle
Rhombus
-1 pair of opposite sides ll... -consecutive angles that aren't…
-both pairs of opposite sides are congruent and parallel... -bot…
-all parallelogram properties... -the diaagonals are congruent... -…
-all properties of parallelogram... -has 2 congruent consecutive…
Trapezoid
-1 pair of opposite sides ll... -consecutive angles that aren't…
Parallelogram
-both pairs of opposite sides are congruent and parallel... -bot…
Geometry Properties
Reflexive Property
Symmetric Property
Transitive Property
Addition and Subtraction Property
a=a
If a=b, then b=a
If a=b and b=c, then a=c
If a=b, then a+c=b+c and a-c=b-c
Reflexive Property
a=a
Symmetric Property
If a=b, then b=a
Geometry Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a=b then a*+c* = b+c+c=b then a*+c* = b*+c*
If a=b then a*-c* = b-c-c=b then a*-c* = b*-c*
If a=b then a*c* = bcca=b then a*c* = b*c*
If a=b and c=/0 then a*/c* = b/c/c=b and c=/0 then a*/c* = b*/c*
Addition Property
If a=b then a*+c* = b+c+c=b then a*+c* = b*+c*
Subtraction Property
If a=b then a*-c* = b-c-c=b then a*-c* = b*-c*
6 terms
Geometry Properties
Parrallelogram
Rectangle
Rhombus
Square
- both pairs of opposite sides are parallel ... - both pairs of…
- same properties as a parallelogram; 2 different ... - the diag…
- all sides are congruent ... - the diagonals are perpendicular…
- has all the properties of a rectangle and a rhombus ... - a re…
Parrallelogram
- both pairs of opposite sides are parallel ... - both pairs of…
Rectangle
- same properties as a parallelogram; 2 different ... - the diag…
Geometry Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a = b, then a + c = b + c.
If a = b, then a - c = b - c.
If a = b, then a · c = b · c.
If a = b and c ≠ 0, then a/c = b/c.
Addition Property
If a = b, then a + c = b + c.
Subtraction Property
If a = b, then a - c = b - c.
12 terms
Properties- Geometry
Reflexive property
Symmetric Property
Transitive property
Addition Property
Any quantity is equal/congruent to itself.
The expressions on either side of the equal or congruent sign…
If two quantities are equal/ congruent to the same quantity,…
If equals, their sums are equal
Reflexive property
Any quantity is equal/congruent to itself.
Symmetric Property
The expressions on either side of the equal or congruent sign…
Geometry Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a=b, then a+c=b+c
If a=b, the a-c=b-c
If a=b, then axc = bxc
If a=b and c not = 0, then a/c=b/c
Addition Property
If a=b, then a+c=b+c
Subtraction Property
If a=b, the a-c=b-c
Geometry properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If a=b,then a+c=b+c
If a=b, then a-c=b-c
If a=b, then ac=bc
If a=b, then a/c=b/c
Addition Property of Equality
If a=b,then a+c=b+c
Subtraction Property of Equality
If a=b, then a-c=b-c
Geometry Properties
reflexive property
symmetric property
transitive property
addition property
a=a
if a=b then b=a
if a=b and b=c then a=c
if a=b then a+c=b+c
reflexive property
a=a
symmetric property
if a=b then b=a
Geometry properties
Parallelograms
Rectangle properties
Rhombus properties
square properties
Opp sides parallel and congruent... Opp angles congruent ... Consec…
Opp sides parallel and congruent... Opp angles congruent ... Consec…
Opp sides parallel and congruent... Opp angles congruent ... Consec…
Opp sides parallel and congruent... Opp angles congruent ... Consec…
Parallelograms
Opp sides parallel and congruent... Opp angles congruent ... Consec…
Rectangle properties
Opp sides parallel and congruent... Opp angles congruent ... Consec…
14 terms
Geometry Properties
Diagonals bisect both pairs of opposit…
2 pairs of opposite angles are supplem…
Diagonals are congruent
2 pairs of opposite angles are congruent
Rhombus, square
Rectangle, trapezoid, isosceles trapezoid
Rectangle, square, isosceles trapezoid
Parallelogram, rectangle, rhombus, square
Diagonals bisect both pairs of opposit…
Rhombus, square
2 pairs of opposite angles are supplem…
Rectangle, trapezoid, isosceles trapezoid
10 terms
Geometry properties
Reflexive property
Symmetric property
Addition property
Subtraction prop
a=a 7=7
If x=7 then 7=x
If a=b then a-c=b-c. ... If x-2=8 then x-2+2=8+2 ... So you add fro…
If x+4=5 then x+4-4=5-4 ... When you subtract from one side to g…
Reflexive property
a=a 7=7
Symmetric property
If x=7 then 7=x
Geometry Properties
addition
subtraction
multiplication
division
if a=b then a+c=b+c
if a=b then a-c=b-c
if a=b then ac=bc
if a=b then a/c=b/c
addition
if a=b then a+c=b+c
subtraction
if a=b then a-c=b-c
geometry properties
quadrilateral
trapezoid
isosceles trapezoid
parallelogram
4 sided polygon, angles sum to 360
at least 1 pair of parallel sides, median=b1+b2/2
non parallel sides are congruent, base angles are congruent,o…
2 pairs of opposite sides are parallel and congruent,opposite…
quadrilateral
4 sided polygon, angles sum to 360
trapezoid
at least 1 pair of parallel sides, median=b1+b2/2
11 terms
Properties Geometry
Exactly two pairs of parallel sides.
Diagonals bisect each other.
All sides are congruent.
Diagonals are perpendicular.
Parallellogram, rectangle, rhombus and square
Parallelogram, rectangle, rhombus and square
Rhombus and square
Rhombus, square and kite
Exactly two pairs of parallel sides.
Parallellogram, rectangle, rhombus and square
Diagonals bisect each other.
Parallelogram, rectangle, rhombus and square
12 terms
Properties- Geometry
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Addition Property of Equality
states that for every real number x, x = x. Reflexive pretty…
if a = b then b = a.
if a = b and b = c, then a = c.
states that if you add the same number to both sides of an eq…
Reflexive Property of Equality
states that for every real number x, x = x. Reflexive pretty…
Symmetric Property of Equality
if a = b then b = a.
Geometry Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
if a=b and c=d, then a+c=b+d
if a=b and c=d, then a-c=b-d
if a=b, then Ca=Cb
is a=b and ~c=0, then a/c=b/c
Addition Property of Equality
if a=b and c=d, then a+c=b+d
Subtraction Property of Equality
if a=b and c=d, then a-c=b-d
Geometry Properties
Reflexive
Symmetric
Addition
Transitive
AB=AB
If OA=AB then AB=OA
If AB=DF and BC=CD, then AB + BC = DF + CD
if AB=BC and BC=EF, then AB=EF
Reflexive
AB=AB
Symmetric
If OA=AB then AB=OA
Geometry properties
Addition property
Addition property
Addition property
Addition property
If a segment is added to congruent segments, the sums are con…
If a=b, then a+c=b+c / if a=b and c=d, a+c=b+d
If congruent segments are added to congruent segments, the su…
If an angle is added to congruent angles, the sums are congru…
Addition property
If a segment is added to congruent segments, the sums are con…
Addition property
If a=b, then a+c=b+c / if a=b and c=d, a+c=b+d
6 terms
Geometry properties
Reflexive property
Transitive property
Symmetric property
Reflexive property
A quantity is equal to itself
If two quantities are equal to the same quantity, then they a…
If Oa=AB the AB=OA
A quantity is equal to itself
Reflexive property
A quantity is equal to itself
Transitive property
If two quantities are equal to the same quantity, then they a…
Geometry properties
Linear pair postulate
Reflexive
Symmetric
Def of Supplementary
Tells if two angles are supplementary
A=A,12=12
If AB=CD CD=AB
If <1 & <2 are sup then <1+<2=180... (Two angles that add to 180)
Linear pair postulate
Tells if two angles are supplementary
Reflexive
A=A,12=12
Geometry Properties
reflexive property of equality
symmetric property of equality
transitive property of equality
addition property of equality
a=a
if a=b, then b=a
if a=b and b=c, then a=c
if a=b, then a+c=b+c
reflexive property of equality
a=a
symmetric property of equality
if a=b, then b=a
Geometry Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If x-4=11, then x=15
If x+4 =9, then x=5
If x/2 =18, then x= 36
If -3x=30, then x=-10
Addition Property of Equality
If x-4=11, then x=15
Subtraction Property of Equality
If x+4 =9, then x=5
12 terms
Geometry Properties
Addition PoE
Subtraction PoE
Multiplication PoE
Division PoE
If a=b, then a+c=b+c.
If a=b, then a−c=b−c.
If a=b, then ac=bc.
If a=b, then a/c=b/c.
Addition PoE
If a=b, then a+c=b+c.
Subtraction PoE
If a=b, then a−c=b−c.
8 terms
Geometry properties
Reflexive property of equality
Reflexive property of congruence
Symmetric property of equality
Symmetric property of congruence
AB=AB
<Z congruent <z
XY= ZA ... ZA=XY
<Q congruent <R then <R congruent <Q
Reflexive property of equality
AB=AB
Reflexive property of congruence
<Z congruent <z
Geometry Properties
Parallelogram, Rectangle, Rhombus, Squ…
Parallelogram, Rectangle, Rhombus, Squ…
Parallelogram, Rectangle, Rhombus, Squ…
Trapezoid, Isosceles Trapezoid
Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent
Both pairs of opposite angles are congruent
Exactly one pair of opposite sides are parallel
Parallelogram, Rectangle, Rhombus, Squ…
Both pairs of opposite sides are parallel
Parallelogram, Rectangle, Rhombus, Squ…
Both pairs of opposite sides are congruent
8 terms
Geometry Properties
Quadrilateral
Trapezoid
Isosceles Trapezoid
Parallelogram
4 sided polygon.
1. The bases are parallel... 2. Each lower base angle is supplem…
1. The bases are parallel... 2. Each lower base angle is supplem…
1. Opposite sides are parallel.... 2. Opposite sides are congrue…
Quadrilateral
4 sided polygon.
Trapezoid
1. The bases are parallel... 2. Each lower base angle is supplem…
12 terms
Geometry - Properties
If m<1 = m<2, then m<2 = m<1
If m<1 = 180 and m<2 = m<1, then m<2 =…
If AB = RS and RS = WY, then AB = WY
(5 + 6) + 10 = 5 + (6 + 10)
Symmetric Property of Equality
Substitution Property
Transitive Property of Equality
Associative Property
If m<1 = m<2, then m<2 = m<1
Symmetric Property of Equality
If m<1 = 180 and m<2 = m<1, then m<2 =…
Substitution Property
6 terms
Geometry: properties
the reflexive property
the substitution property
the addition property
the subtraction property
a=a (and any number equal to itself)
if a=b, then a can be substituted for b in any expression
if a=b, then a+c = b+c
if a=b, than a-c = b-c
the reflexive property
a=a (and any number equal to itself)
the substitution property
if a=b, then a can be substituted for b in any expression
9 terms
Geometry Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a = b, then a + c = b + c
If a = b, then a - c = b - c
If a = b, then a x c = b x c
If a = b and c doesn't = 0, then a/c = b/c
Addition Property
If a = b, then a + c = b + c
Subtraction Property
If a = b, then a - c = b - c
7 terms
Geometry Properties
Reflexive Property
Symmetric Property
Transitive Property
Add./Sub. Property
For every number a, a=a.
For every number a and b, if a=b, then b=a.
For all numbers a, b, and c, if a=b and b=c, then a=c.
For all numbers a, b, and c, if a=b then a+c=b+c
Reflexive Property
For every number a, a=a.
Symmetric Property
For every number a and b, if a=b, then b=a.
8 terms
Geometry properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
If a=b then a+c=b+c
If a=b then a-c=b-c
If a=b then ac=ab
If a=b and c doesn't = 0 then, a/c=b/c
Addition Property
If a=b then a+c=b+c
Subtraction Property
If a=b then a-c=b-c
18 terms
Geometry Properties
p --> q, q--> r than p --> r (only for…
a value is equal to itself
a=b, b=c, a=c (only with numbers)
if x = y, then x can be substituted in…
Law of Syllogism
Reflexive Prop
Transitive Prop
Substitution Prop
p --> q, q--> r than p --> r (only for…
Law of Syllogism
a value is equal to itself
Reflexive Prop
9 terms
Geometry Properties
Addition
Subtraction
Multiplacation
Division
A=B, A+C=B+C
A=B, A-C=B-C
A=B, AxC=BxC
A=B, C not 0, A divided by C=B divided by C
Addition
A=B, A+C=B+C
Subtraction
A=B, A-C=B-C
12 terms
Geometry Properties
Reflexive Property
Symmetric Property
Transitive Property
Addition and Subtraction Properties
a=a
If a=b, then b=a.
If a=b and b=c, then a=c.
If a=b, then a+c = b+c and a-c = b-c.
Reflexive Property
a=a
Symmetric Property
If a=b, then b=a.
Geometry Properties
Reflexive Property
Symmetric Property
Transitive Property
Subtraction Postulate
A quantity is congruent (equal) to itself. a = a
If a = b, then b = a.
If a = b and b = c, then a = c.
If equal quantities are subtracted from equal quantities, the…
Reflexive Property
A quantity is congruent (equal) to itself. a = a
Symmetric Property
If a = b, then b = a.
Geometry Properties
Commutative
Associative
Distributive
Additive Identity
Moving around numbers for the answer
You can add or multiply no matter what numbers are grouped
Multiply the number outside of the parenthesis to ALL of the…
Added to any element to x it will still it will still be x
Commutative
Moving around numbers for the answer
Associative
You can add or multiply no matter what numbers are grouped
geometry properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
The property that states that if you add the same number to b…
States that when both sides of an equation have the same numb…
states that if you multiply both sides of an equation by the…
states that if you divide both sides of an equation by the sa…
Addition Property of Equality
The property that states that if you add the same number to b…
Subtraction Property of Equality
States that when both sides of an equation have the same numb…
16 terms
GEOMETRY PROPERTIES
Addition Property of Equality
Division Property of Equality
Reflexive Property of Equality
Subtraction Property of Equality
If you add the same numbers to each side of an equation, both…
when you solve an equation by dividing both sides of the equa…
a = a
Subtracting the same number to each side of the equation prod…
Addition Property of Equality
If you add the same numbers to each side of an equation, both…
Division Property of Equality
when you solve an equation by dividing both sides of the equa…
Geometry- properties
Addition property
Subtraction property
Multiplication property
Division property
If a=b and c=d then a+c=d+b
If a=b and c=d then a-c=b-d
If a=b, then ca=cb
If a=b and c is not equal to zero, then a/c= b/c
Addition property
If a=b and c=d then a+c=d+b
Subtraction property
If a=b and c=d then a-c=b-d
Geometry Properties
addition
subtraction
multiplication
division
adding the same thing to both sides of an equation doesn't ch…
subtracting the same thing from both sides of an equation doe…
multiplying both sides of an equation by the same value doesn…
dividing both sides of an equation by the same thing doesn't…
addition
adding the same thing to both sides of an equation doesn't ch…
subtraction
subtracting the same thing from both sides of an equation doe…
Geometry Properties
addition property of equality (add poe)
subtraction property of equality (subt…
multiplication property of equality (m…
division property of equality (div poe)
if a=b, then a + c = b+c
if a=b, then a-c = b-c
if a=b, then a times c= b times c
if a=b and c is not = to 0, then a/c = b/c
addition property of equality (add poe)
if a=b, then a + c = b+c
subtraction property of equality (subt…
if a=b, then a-c = b-c
15 terms
Geometry Properties
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
commutative property of addition
commutative property of multiplication
associaitive property of addition
associaitive property of multiplication
a+b=b+a
commutative property of addition
ab=ba
commutative property of multiplication
Geometry Properties
Distributive Property of Equality
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
a(b + c) = ab + ac
If a = b and c = d, then a + c = b + d
If a = b and c = d, then a - c = b - d
If a = b and c = d, then ac = bd
Distributive Property of Equality
a(b + c) = ab + ac
Addition Property of Equality
If a = b and c = d, then a + c = b + d
Geometry-Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If a=b, then a+c=b+c.
If a=b, then a-c=b-c.
If a=b, then ac=ac.
If a=b, then a/c=b/c.
Addition Property of Equality
If a=b, then a+c=b+c.
Subtraction Property of Equality
If a=b, then a-c=b-c.
14 terms
Geometry Properties
REFLEXIVE PROPERTY OF EQUALITY
SYMMETRIC PROPERTY OF EQUALITY
TRANSITIVE PROPERTY OF EQUALITY
SUBSTITUTION PROPERTY OF EQUALITY
A quantity is equal to itself
A quantity can be expressed in either order
IF two quantities are equal to the same or equal quantities,…
A quantity may be substituted for its equal in any expression.
REFLEXIVE PROPERTY OF EQUALITY
A quantity is equal to itself
SYMMETRIC PROPERTY OF EQUALITY
A quantity can be expressed in either order
10 terms
geometry (properties)
opposite sides are parallel
opposite sides are congruent
opposite angles are congruent
a diagonal forms two congruent triangles
parallelogram, rectangle, rhombus, square
parallelogram, rectangle, rhombus, square
parallelogram, rectangle, rhombus, square
parallelogram, rectangle, rhombus, square
opposite sides are parallel
parallelogram, rectangle, rhombus, square
opposite sides are congruent
parallelogram, rectangle, rhombus, square
geometry properties
addition property
subtraction property
multiplication property
division property
if a = b then a + c = b + c
if a = b then a - c = b - c
if a = b then ac = bc
if a = b and c does not = 0, then a/c = b/c
addition property
if a = b then a + c = b + c
subtraction property
if a = b then a - c = b - c
Geometry properties
Addition property
Subtraction property
Multiplication property
Division property
If a=b then a+c = c+b; x-8=10 then x=18
If a=b then a-c = b-c; x+5=12 then x=7
If a=b then a(c) = b(c); x/3 = 5 then x=15
If a=b then a/c = b/c; 2x=24 then x=12
Addition property
If a=b then a+c = c+b; x-8=10 then x=18
Subtraction property
If a=b then a-c = b-c; x+5=12 then x=7
9 terms
Properties Geometry
Addition Property of Equality (Algebra)
Subtraction Property of Equality (Alge…
Multiplication Property of Equality (A…
Division Property of Equality (Algebra)
If a = b, then a + c = b + c
If a = b, then a - c = b - c
if a=b, then ca=cb
If a=b and c≠0 then a/c = b/c.
Addition Property of Equality (Algebra)
If a = b, then a + c = b + c
Subtraction Property of Equality (Alge…
If a = b, then a - c = b - c
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