# Study sets matching "geometry properties"

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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.

Both pairs of opposite sides are parall…

Both pairs of opposite angles are congr…

Both pairs of opposite sides are congru…

Exactly one pair of opposite sides are…

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Parallelogram, rectangle, rhombus, square

Isosceles trapezoid

Both pairs of opposite sides are parall…

Parallelogram, rectangle, rhombus, square

Both pairs of opposite angles are congr…

Parallelogram, rectangle, rhombus, square

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

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 Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If equals are added to equals, the results are equal: If a = b…

If equals are subtracted from equals, the results are equal: I…

If equals are multiplied by equals, their products are equal:…

If equals are divided by nonzero equals, their quotients are e…

Addition Property of Equality

If equals are added to equals, the results are equal: If a = b…

Subtraction Property of Equality

If equals are subtracted from equals, the results are equal: I…

opposite sides are congruent

opposite angles are congruent

consecutive angles are supplementary

diagnols bisect eachother

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

parallelogram, rectangle, rhombus, square

opposite sides are congruent

parallelogram, rectangle, rhombus, square

opposite angles are congruent

parallelogram, rectangle, rhombus, square

quadrilateral

Trapezoid

isosceles trapezoid

Parallelogram

a four-sided polygon... Angles add up to 360

A quadrilateral with exactly one pair of parallel sides... Consec…

a trapezoid with congruent legs... Base angles are congruent ... Opp…

A quadrilateral with both pairs of opposite sides parallel... Bot…

quadrilateral

a four-sided polygon... Angles add up to 360

Trapezoid

A quadrilateral with exactly one pair of parallel sides... Consec…

Parallelogram

Rectangle

Rhombus

Square

Opposite sides are congruent, opposite angles are congruent, c…

Has all properties of a parallelogram, has 4 right angles, dia…

Has all properties of a parallelogram, all 4 sides are congrue…

All properties of a parallelogram, all properties of a rectang…

Parallelogram

Opposite sides are congruent, opposite angles are congruent, c…

Rectangle

Has all properties of a parallelogram, has 4 right angles, dia…

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

opposite sides are parallel

opposite sides are congruent

opposite angles are congruent

a diagonal forms two congruent angles

ALL: rectangle, rhombus, parallelogram, square

ALL: rectangle, rhombus, parallelogram, square

ALL: rectangle, rhombus, parallelogram, square

ALL: rectangle, rhombus, parallelogram, square

opposite sides are parallel

ALL: rectangle, rhombus, parallelogram, square

opposite sides are congruent

ALL: rectangle, rhombus, parallelogram, square

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

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…

Additive Identity

Additive Inverse

Multiplicative Identity

Multiplicative Property of 0

For any number a, a + 0 = a

For any number a, a + (-a) = a

For any number a, a x 1 = a

For any number a, a x 0 = a

Additive Identity

For any number a, a + 0 = a

Additive Inverse

For any number a, a + (-a) = a

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…

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

Commutative Property

Associative Property

Identity Property

Additive Inverse/Opposites

changes order... ab = ba... a + b = b + a... 4 x 7 = 7 x 4... 8 + 3 = 3 +…

changes grouping... (a + b) + c = a + (b + c)... (a x b) x c = a x (…

a x 1 = a... a + 0 = a... 4 x 1 = 4... 5 + 0 = 5

a + (-a) = 0... 7 + (-7) = 0

Commutative Property

changes order... ab = ba... a + b = b + a... 4 x 7 = 7 x 4... 8 + 3 = 3 +…

Associative Property

changes grouping... (a + b) + c = a + (b + c)... (a x b) x c = a x (…

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

If a = b, then a + c = b + c (add same number to Both sides)

If a = b, then a - c = b - c (subtract same number from both s…

If a = b, then ac = bc (multiply same number to both sides)

if a = b and c is not equal to 0, then a/c = b/c (divide same…

addition property of equality

If a = b, then a + c = b + c (add same number to Both sides)

subtraction property of equality

If a = b, then a - c = b - c (subtract same number from both s…