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Study sets matching "geometry properties"

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Study sets matching "geometry properties"

11 terms
Geometry properties
Rhombus
Parallelogram
Normal Trapezoid properties
Isosceles Trapezoid Properties
1. Diagonals are perpendicular bisectors of each other 2. Dia…
1. diagonals bisect each other 2. Opposite angles are congrue…
1. Consecutive angles are supplementary 2. Mid segment is par…
1. Base angles are congruent 2.diagonals are congruent
Rhombus
1. Diagonals are perpendicular bisectors of each other 2. Dia…
Parallelogram
1. diagonals bisect each other 2. Opposite angles are congrue…
10 terms
Geometry Properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
x - 10 = 40 AB = GH... x = 50 AB + CD = GH + CD
x + 8 = 12 AB + GH = CD + GH... x = 4 AB = CD
x m<a = 90'... _ = 4 ... 5 2m<a =180'... x = 20
8x = 40 2m<b = 180'... x = 5 _ _... 2 2... m<b = 90'
Addition Property
x - 10 = 40 AB = GH... x = 50 AB + CD = GH + CD
Subtraction Property
x + 8 = 12 AB + GH = CD + GH... x = 4 AB = CD
9 terms
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 a x c = b x c
If a = b and c does not = 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
10 terms
Geometry properties
Commutative
Associative
Distributive
Identity
a+b = b+a
(a+b) + c = a + (b+c)
a(b+c) = ab+ac
a+0 = a and 0+a = a
Commutative
a+b = b+a
Associative
(a+b) + c = a + (b+c)
12 terms
Geometry Properties
Angle addition postulate
Definition of angle bisector
Angle bisector theorem
Segment addition postulate
Angle 1 + angle 2 = angle ABC
Angle 1 = angle 2
Angle 1 = 1/2 angle ABC
AM + MB += AB
Angle addition postulate
Angle 1 + angle 2 = angle ABC
Definition of angle bisector
Angle 1 = angle 2
15 terms
Geometry Properties
Parrallelogram
Parallelogram
Parallelogram
Parallelogram
Two pairs of opposite sides congruent
Two pairs of opposite angles congruent
Consecutive angles are supplementary
Diagonals bisect the interior angles
Parrallelogram
Two pairs of opposite sides congruent
Parallelogram
Two pairs of opposite angles congruent
11 terms
Geometry Properties
For a reflection, you need to know:
For a translation, you need to know:
For a ritation, you need to know:
Basic Rigid Motion
Line of reflection (little r)
Vector of translation (big T)
Center of rotation, angle of rotation (big R)
...
For a reflection, you need to know:
Line of reflection (little r)
For a translation, you need to know:
Vector of translation (big T)
27 terms
Properties Geometry
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 and c≠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
17 terms
Geometry properties
A=b... A+c=b+c
a=c... a-c=b-c
a=a
a=b... b=a
Addition prop of equality
subtraction prop of equality
reflexive property
symmetric property
A=b... A+c=b+c
Addition prop of equality
a=c... a-c=b-c
subtraction prop of equality
29 terms
Geometry Properties
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The distance between points A and B, written as AB, is the ab…
If B is between A and C, then AB + BC = AC; ... If AB + BC + AC,…
The measure of <ABC is equal to the absolute value of the dif…
If A is in the interior of <BCD, then the measure of <BCD is…
Ruler Postulate
The distance between points A and B, written as AB, is the ab…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC; ... If AB + BC + AC,…
15 terms
Geometry Properties
Exactly one pair of opposite sides are…
Both pairs of opposite sides are congr…
All sides are congruent.
Both pairs of consecutive sides are co…
Isosceles Trapezoid
Parallelogram, Rectangle, Rhombus, Square
Rhombus, Square
Kite
Exactly one pair of opposite sides are…
Isosceles Trapezoid
Both pairs of opposite sides are congr…
Parallelogram, Rectangle, Rhombus, Square
16 terms
Geometry properties
Properties of a kite
properties of a trapezoid
properties of an isosceles trapezoid
midsegments of a triangle
1. The diagonals are perpendicular... 2. The diagonal connecting…
the consecutive angles between the two bases are supplementary
1. the base angles are congruent... 2.the diagonals are congruent
1. divide it into 4 congruent triangles... 2. parallel to the th…
Properties of a kite
1. The diagonals are perpendicular... 2. The diagonal connecting…
properties of a trapezoid
the consecutive angles between the two bases are supplementary
15 terms
Properties (geometry)
A+B=B+A
If x=y, then y=x
57xyz = 57xyz
(a)(1/a) = 1
Commutative Property of Addition
Symmetric Property
Reflexive Property
Inverse Property of Multiplication
A+B=B+A
Commutative Property of Addition
If x=y, then y=x
Symmetric Property
21 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=a/b
addition POE
if a=b, then a+c=b+c
subtraction POE
if a=b, then a-c=b-c
11 terms
Geometry properties
1)Rhombus
2) rhombus
3)rhombus
1) parallelogram
All sides of a rhombus are congruent equilateral
The diagonals of a rhombus are perpendicular
The diagonals bisect it's angles
A parallelogram has 2 parallel sides
1)Rhombus
All sides of a rhombus are congruent equilateral
2) rhombus
The diagonals of a rhombus are perpendicular
19 terms
Geometry Properties
Reflexive
Symmetric
Transitive of Equality
Commutative Property with the respect…
If a=a, then a=a
If a=b, the b=a
If a=b and b=c, then a=c
If a+b=c, then b+a=c
Reflexive
If a=a, then a=a
Symmetric
If a=b, the b=a
17 terms
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
16 terms
geometry properties
parallelogram, rectangle, rhombus, squ…
parallelogram, rectangle, rhombus, squ…
parallelogram, rectangle, rhombus, squ…
parallelogram, rectangle, rhombus, squ…
both pairs of opp sides are parallel
both pairs of opp sides are congruent
both pairs of opp angles are congruent
all pairs of consecutive angles are supp
parallelogram, rectangle, rhombus, squ…
both pairs of opp sides are parallel
parallelogram, rectangle, rhombus, squ…
both pairs of opp sides are congruent
23 terms
Geometry Properties
reflexive property
symmetric property
transitive property
addition postulate
a quantity is congruent to itself
if a = b, then b = a
if a = b and b = c, then a = c
if equal quantities are added to equal quantities, the sums a…
reflexive property
a quantity is congruent to itself
symmetric property
if a = b, then b = a
9 terms
Geometry: Properties
communative of addition (order)
communative of multiplication (order)
associative of addition (grouping)
associative of multiplication (grouping)
a+b= b+a
3•5= 5•3
(a+b)+c = (c+b)+a
(a•b)5 = (5•b)a
communative of addition (order)
a+b= b+a
communative of multiplication (order)
3•5= 5•3
16 terms
Properties for Geometry
Properties of Equality
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Let a, b, and c be real numbers
If a=b, then a+c=b+c
If a=b, then a-c=b-c
If a=b, then ac=bc
Properties of Equality
Let a, b, and c be real numbers
Addition Property of Equality
If a=b, then a+c=b+c
8 terms
Properties (geometry)
Addition prop. Of =
Subtraction prop. Of =
Multiplication prop. Of =
Division prop. Of =
m<A = m<B ... m<A + 30 = m<B + 30
m<A = m<B... m<A - 30 = m<B - 30
m<A = m<B... 2(m<A) = 2(m<B)
m<A = m<B... m<A/2 = m<B/2
Addition prop. Of =
m<A = m<B ... m<A + 30 = m<B + 30
Subtraction prop. Of =
m<A = m<B... m<A - 30 = m<B - 30
9 terms
Geometry- Properties
addition property of equality
subraction
multiplication
division
...
...
...
...
addition property of equality
...
subraction
...
Geometry- Properties
Addition
Subtraction
Multiplication
Division
Plain addition (both sides of the equal sign)
Plain subtraction (both sides of the equal sign)
Plain multiplication (both sides of the equal sign)
Plain division (both signs of the equal sign)
Addition
Plain addition (both sides of the equal sign)
Subtraction
Plain subtraction (both sides of the equal sign)
21 terms
Geometry, properties
Distributive
Substitution
Multiplication
Definition of midpoint
A+A = 2(A)
If a + b is 70 and b is 35 then a + 35 is 70
If A is 7 then 7(A) = 7(7)
Given J is the midpoint of LM, LJ=JM
Distributive
A+A = 2(A)
Substitution
If a + b is 70 and b is 35 then a + 35 is 70
Properties of geometry
Addition property
Subtraction
Multiplication property
Division property
a=b , a+c=b+c
A=b , a - c = b - c
a = b , ac=bc
a=b , a/c = b/c
Addition property
a=b , a+c=b+c
Subtraction
A=b , a - c = b - c
9 terms
Properties of geometry
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 is 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
31 terms
Geometry Theorems, Postulates, and Properties
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with the real…
If B is between A and C, then AB+BC=AC.
The measure of ∠AOB, which can be written as m∠AOB, is equal…
If P is in the interior of ∠RST, then the measure of ∠RST is…
Ruler Postulate
The points on a line can be matched one to one with the real…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC.
13 terms
Properties of Geometry
Commutative of Addition
Associative of Addition
Commutative of Multiplication
Associative of Multiplication
a + b = b + a
(a + b) + c = a + (b + c)
ab = ba
ab) c = a (bc)
Commutative of Addition
a + b = b + a
Associative of Addition
(a + b) + c = a + (b + c)
12 terms
Geometry Properties
One pair of parallel sides
Diagonals are congruent
Opposite sides are congruent
Diagonals bisect the angles
Trapezoid, Isosceles Trapezoid
Rectangle, Square, Isosceles Trapezoid
Rhombus, Rectangle, Parallelogram, Square
Rhombus, Square
One pair of parallel sides
Trapezoid, Isosceles Trapezoid
Diagonals are congruent
Rectangle, Square, Isosceles Trapezoid
15 terms
Geometry Properties
If equals are added to equals, then th…
If equals are subtracted from equals,…
If equals are multiplied by equals, th…
If equals are divided by non-zero equa…
Addition Postulate
Subtraction Property
Multiplication property
Division Property
If equals are added to equals, then th…
Addition Postulate
If equals are subtracted from equals,…
Subtraction Property
13 terms
Properties Geometry
properties of parallelograms
conditions for parallelograms
properties for rectangles
conditions for rectangles
opposite sides are parallel, opposite sides are congruent, op…
if opposite sides are parallel, if one pair of opposite sides…
is a parallelogram has all the properties of parallelograms,…
if it has at least one right angle, if its diagonals are cong…
properties of parallelograms
opposite sides are parallel, opposite sides are congruent, op…
conditions for parallelograms
if opposite sides are parallel, if one pair of opposite sides…
13 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=bc
If a =b, 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
9 terms
Properties for geometry
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•c
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
16 terms
Geometry Properties
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
12 terms
Geometry Properties
What are polygons?
What are quadrilaterals?
What is the family tree?
How many properties does a p'gram have?
Closed figure with straight sides
A shape with 4 sides and 4 angles
Quads, p'gram, rectangle, rhombus, square
5
What are polygons?
Closed figure with straight sides
What are quadrilaterals?
A shape with 4 sides and 4 angles
5 terms
Properties in Geometry
Quadrilateral
Parallelogram
Rectangle
Rhombus
angle sum is 360 and 4 sides
diagonals bisect each other, opposite sides parallel, opposit…
Diagonals congruent, and equiangular
equilateral, diagonals are perpendicular, diagonals bisect th…
Quadrilateral
angle sum is 360 and 4 sides
Parallelogram
diagonals bisect each other, opposite sides parallel, opposit…
9 terms
Properties of Geometry
Reflexive prop
Symmetric prop
Transitive prop
Substitution prop
A=a
If a=b then b=a
If a=b and b=c then a=c
If a=b then a can replace b in any situation
Reflexive prop
A=a
Symmetric prop
If a=b then b=a
13 terms
Geometry properties
One pair of opposite angles equal
one pair of opposite sides equal
one pair of parallel sides
both pair of opposite sides equal
kite
isos trapezoid
trapezoid & isos trapezoid
Parallelogram, rhombus, square & rectangle
One pair of opposite angles equal
kite
one pair of opposite sides equal
isos trapezoid
10 terms
Properties In Geometry
If a=b and c=d, then a+c=b+d
If a=b, then ac=bc
If a=b and c doesn't equal 0, then a/c…
a=a
Addition Property
Multiplication Property
Division Property
Reflexive Property
If a=b and c=d, then a+c=b+d
Addition Property
If a=b, then ac=bc
Multiplication Property
9 terms
Properties in Geometry
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 = 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
10 terms
Geometry Properties of ...
Opposite side are parallel
Opposite sides and angles are congruen…
Consecutive angles are supplements
All angles are congruent
Parallelogram... Rectangle... Rhombus... Square ... Kite
Parallelogram ... Rectangle... Rhombus ... Square
Parallelogram ... Rectangle ... Rhombus ... Square
Rectangle ... Square
Opposite side are parallel
Parallelogram... Rectangle... Rhombus... Square ... Kite
Opposite sides and angles are congruen…
Parallelogram ... Rectangle... Rhombus ... Square
15 terms
Properties of Geometry
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 then c does not equal 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
Properties in Geometry
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:…
If equals are multiplied by equals, their products are equal:…
If equals are divided by nonzero equals, their quotients are…
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:…
22 terms
Properties of Geometry
a(b + c) = ab + ac
ab = ba
a + b = b + a
(a + b)c = a + (b + c)
distribution
communitive (mult.)
communitive (add.)
associative (add.)
a(b + c) = ab + ac
distribution
ab = ba
communitive (mult.)
9 terms
Geometry properties
If it is a parallelogram it is also wh…
If it is a rectangle it is also what?
If it is a rhombus it is also what?
Properties of a parallelogram
Rectangle, rhombus, and square
A square
A square
1. Both pairs of opposite sides are congruent ... 2. Both pairs…
If it is a parallelogram it is also wh…
Rectangle, rhombus, and square
If it is a rectangle it is also what?
A square
9 terms
Geometry Properties of Triangles
Centroid
Midpoint
Midpoint Line
Circumcenter
Three lines from three midpoints intersecting.
The middle point of a line segment.
A line coming from the midpoint.
The intersection of three perpendicular bisectors.
Centroid
Three lines from three midpoints intersecting.
Midpoint
The middle point of a line segment.
25 terms
Geometry - Chapter 10 - Properties of Circles
circle
radius
chord
diameter
the set of all points in a plane that are equidistant from a…
a segment whose endpoints are the center of a circle and any…
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…
radius
a segment whose endpoints are the center of a circle and any…
13 terms
Properties of Geometry
Commutative of Addition
Associative of Addition
Commutative of Multiplication
Associative of Multiplication
a + b = b + a
(a + b) + c = a + (b + c)
ab = ba
ab) c = a (bc)
Commutative of Addition
a + b = b + a
Associative of Addition
(a + b) + c = a + (b + c)
15 terms
Geometry Properties
Which shapes have exactly one pair of…
Which shapes have both pairs of opposi…
Which shape has exactly one pair of op…
Which shapes have both pairs of opposi…
Trapezoid and isosceles trapezoid
llogram, rectangle, rhombus, square (PRRS)
Isosceles trapezoid
llogram, rectangle, thrombus, square (PRRS)
Which shapes have exactly one pair of…
Trapezoid and isosceles trapezoid
Which shapes have both pairs of opposi…
llogram, rectangle, rhombus, square (PRRS)
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