# 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.

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

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

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…

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

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

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

Reflexive Property Equality

Symmetric Property of Equality

Transitive Property of Equality

Reflexive Property of Segment Congruence

a = a

If a = b, then b = a

If a = b and b = c, then a = c

AB = AB

Reflexive Property Equality

a = a

Symmetric Property of Equality

If a = b, then b = a

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

Addition Property of equality

Subtraction Property of equality

Multiplication Property of equality

Division Property of equality

given: x-8=10... then: x=18

given: x+12=30... then: x=18

given: x/3=5... then: x=15

given: 10=2(3x-4)... then: 5=3x-4

Addition Property of equality

given: x-8=10... then: x=18

Subtraction Property of equality

given: x+12=30... then: x=18

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)

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…

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…

If AB ~- XY then AB = XY

If m is the midpoint of XY then XM = MY

If a = b then a + c = b+c

If a = b then a-c = b-c

Definition of congruent segments... Turns picture into math

Definition of midpoint segments

Addition POE

Subtraction POE

If AB ~- XY then AB = XY

Definition of congruent segments... Turns picture into math

If m is the midpoint of XY then XM = MY

Definition of midpoint segments

commutative property of addition

distributive property

addition property of equality

subtraction property of equality

a + b = b +a

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

commutative property of addition

a + b = b +a

distributive property

a(b + c) = ab + ac

Altitude

Angle Bisector

Centroid

Circumcenter

A line segment from a vertex of a triangle that is perpendicul…

A line or segment that bisects an angle; cuts an angle in half

The point of concurrency of the medians of a triangle; center…

The point of concurrency of the perpendicular bisectors of a t…

Altitude

A line segment from a vertex of a triangle that is perpendicul…

Angle Bisector

A line or segment that bisects an angle; cuts an angle in half

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…

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 ac = bc

if a=b 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

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