# Study sets matching "geometry properties"

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Properties of Equality

Addition Property of Equality (add.prop)

Subtraction Property of Equality (subtr…

Multiplication Property of Equality (mu…

...

If A=B, then A+C=B+C

If A=B, then A-C=B-C

If A=B, then A

**C=B**CProperties of Equality

...

Addition Property of Equality (add.prop)

If A=B, then A+C=B+C

Reflexive property

Substitution property

Addition property

Subtraction property

a = a (Any number is 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, then a - c = b - c

Reflexive property

a = a (Any number is equal to itself)

Substitution property

If a = b, then a can be substituted for b in any expression

distributive property

addition property of equality

subtraction property of equality

division property of equality

4(a + b) = 4a + 4b: -x over +

x - 4 = 8, x = 12

x + 4 = 8, x = 4

2x = 18, x = 9

distributive property

4(a + b) = 4a + 4b: -x over +

addition property of equality

x - 4 = 8, x = 12

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parallelogram properties

rhombus properties

rectangle properties

square properties

opposite sides congruent, opposite sides parallel, opposite an…

opposite sides parallel, opposite sides congruent, opposite an…

opposite sides parallel, opposite sides congruent, opposite an…

opposite sides congruent, opposite sides parallel, opposite an…

parallelogram properties

opposite sides congruent, opposite sides parallel, opposite an…

rhombus properties

opposite sides parallel, opposite sides congruent, opposite an…

Properties of parallelograms

Properties of rectangles

Properties of rhombus

Rhombi and rectangles share properties…

*two pairs of parallel sides... *opposite parallel sides are cong…

*four right angles... *all diagonals are congruent

*all sides are congruent... *diagonals are perpendicular... *diagona…

parallelograms

Properties of parallelograms

*two pairs of parallel sides... *opposite parallel sides are cong…

Properties of rectangles

*four right angles... *all diagonals are congruent

circle

radius

chord

diameter

the set of all points in a plane that are equidistant from a g…

a segment whose endpoints are the center of a circle and any p…

a segment whose endpoints are on a circle

a chord that contains the center of the circle

circle

the set of all points in a plane that are equidistant from a g…

radius

a segment whose endpoints are the center of a circle and any p…

all sides are congruent

opposite sides are congruent

opposite sides parallel

opposite angles are congruent

rhombus, square

parallelogram, rhombus, rectangle, square

parallelogram, rhombus, rectangle, square

parallelogram, rhombus, rectangle, square

all sides are congruent

rhombus, square

opposite sides are congruent

parallelogram, rhombus, rectangle, square

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 ac=bc

If 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

Substitution Property

Commutative Property of Addition and Mu…

Distributive

Multiplicative prop of equality

If a = b, then a can replace b in any equation.

a + b = b + a and ab = ba

a(b+c)=ab+ac

if a =b then ac = bc

Substitution Property

If a = b, then a can replace b in any equation.

Commutative Property of Addition and Mu…

a + b = b + a and ab = ba

Symmetric Property of Congruence.

A plane contains at least

Transitive Property of Congruence.

Reflexive Property of Congruence

If line AB is congruent to line CD, then line CD is congruent…

three noncollinear points.

If line AB is congruent to line CD and line CD is congruent to…

<1 is congruent to <1

Symmetric Property of Congruence.

If line AB is congruent to line CD, then line CD is congruent…

A plane contains at least

three noncollinear points.

Addition property of equality

Subtraction property of equality

Multiplication property of equality

Division property of equality

If p=q and r=s, then p+r=q+s

If p=q and r=s, then p-r=q-s

If p=q and r=s, then pr=qs

If p=q and r=s, then p/r= q/s

Addition property of equality

If p=q and r=s, then p+r=q+s

Subtraction property of equality

If p=q and r=s, then p-r=q-s

Quadrilateral

Kite

Trapezoid

Parallelogram

a four sided figure

A quadrilateral with exactly 2 pairs of consecutive congruent…

A quadrilateral with exactly one pair of parallel sides

A quadrilateral with both pairs of opposite sides parallel

Quadrilateral

a four sided figure

Kite

A quadrilateral with exactly 2 pairs of consecutive congruent…

addition property

subtraction property

multiplication property

division property

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

if a=b and and c≠ 0, then a/c = b/c

addition property

if a=b and c=d, then a+c = b+d

subtraction property

if a=b and c=d, then a-c = b-d

Parallelogram Properties

Rectangle Properties

Rhombus Properties

Square Properties

Opposite side congruent, opposite angles congruent, diagonal b…

All of the parallelogram PLUS: 4 congruent right angles (def.)…

All of parallelogram PLUS: all sides congruent (def.), diagona…

All of rectangle and rhombus properties

Parallelogram Properties

Opposite side congruent, opposite angles congruent, diagonal b…

Rectangle Properties

All of the parallelogram PLUS: 4 congruent right angles (def.)…

addition

subtraction

multiplication

division

the same number can be added to both sides of the equation

the same number can be subtracted from both sides of the equat…

the same number can be multiplied to both sides of the equation

both sides of equation can be divided by any non zero number

addition

the same number can be added to both sides of the equation

subtraction

the same number can be subtracted from both sides of the equat…

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Addition P.O.E.

Subtraction P.O.E.

Multiplication P.O.E.

Division P.O.E.

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

If a=b and c does not=0 then a divided by c=b divided by c

Addition P.O.E.

If a=b and c=d then a+c= b+d

Subtraction P.O.E.

If a=b and c=d then a-c=b-d

All sides are congruent in...

Both pairs of opposite sides are congru…

Both pair of opposite sides are paralle…

Exactly one pair of opposite sides are…

square, rhombus

Parallelogram, rectangle, rhombus, Square

Parallelogram rectangle rhombus Square

trapezoid, isosceles trapezoid

All sides are congruent in...

square, rhombus

Both pairs of opposite sides are congru…

Parallelogram, rectangle, rhombus, Square

Reflexive property of equality

Symmetric property of equality

Transitive property of equality

Substitution property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Flip things around with a equals sign (2x=a)

Train effect, if a=b and b=c then a=c

Allows you to substitute with an equivalent value (7+15+2x, 22…

Reflexive property of equality

Anything that is equal to itself (a=a) ; Reflect=mirror

Symmetric property of equality

Flip things around with a equals sign (2x=a)

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 a

**c=b**cIf a=b and c does not equal to 0, 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