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Study sets matching "geometry properties"

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Study sets matching "geometry properties"

9 terms
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
43 terms
Geometry properties
Addition Property of equality
Subtraction property of equality
Multiplication property of equality
division property of equality
x-5=7, x=12
x+4= 10, x=6
x/2=9, x=18
-3x=36, x=-12
Addition Property of equality
x-5=7, x=12
Subtraction property of equality
x+4= 10, x=6
Geometry properties
Addition Property of equality
Subtraction property of equality
Multiplication property of equality
division property of equality
x-5=7, x=12
x+4= 10, x=6
x/2=9, x=18
-3x=36, x=-12
Addition Property of equality
x-5=7, x=12
Subtraction property of equality
x+4= 10, x=6
12 terms
Geometry Properties
Reflexive property of equality
Symmetric property of equality
Transitive property of equality
Substitution property of equality
Anything that is equal to itself (a=a) ; Refect=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, 2…
Reflexive property of equality
Anything that is equal to itself (a=a) ; Refect=mirror
Symmetric property of equality
Flip things around with a equals sign (2x=a)
11 terms
Geometry: Properties
Addition Property of Equatity
Subtraction Property of Equatity
Multiplication Property of Equatity
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.
If a = b and c =/= 0, then a/c = b/c.
Addition Property of Equatity
If a = b and c = d, then a + c = b + d.
Subtraction Property of Equatity
If a = b and c = d, then a - c = b - d.
19 terms
Geometry properties
Right angle Theorem
supplementary theorem
complementary angle theorem
complementary
All right angles are congruent
if angle 1 is sup angle 2 and angle 1 is sup to angle 3 then…
if angle 4 is comp to angle 5 then angle 4 is comp to angle 6…
= 2 angles that add up to 90
Right angle Theorem
All right angles are congruent
supplementary theorem
if angle 1 is sup angle 2 and angle 1 is sup to angle 3 then…
16 terms
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
14 terms
Geometry Properties
Segment Addition Postulate
Angle Addition Postulate
Addition Property of Equality
Subtraction Property of Equality
If three points, A, B, and C, are collinear, and B is between…
If point B is the interior of <AOC then m<AOB+m<BOC= m<AOC
If a=b, then a+c=b+c
If a=b, then a-c=b-c
Segment Addition Postulate
If three points, A, B, and C, are collinear, and B is between…
Angle Addition Postulate
If point B is the interior of <AOC then m<AOB+m<BOC= m<AOC
12 terms
Geometry Properties
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
Commutative Property of Addition
a+b=b+a
Commutative Property of Multiplication
ab=ba
8 terms
Geometry- Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
States that if the same amount is added to both sides of an e…
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
States that if the same amount is added to both sides of an e…
Subtraction Property of Equality
States that when both sides of an equation have the same numb…
43 terms
Geometry properties
Addition Property of equality
Subtraction property of equality
Multiplication property of equality
division property of equality
x-5=7, x=12
x+4= 10, x=6
x/2=9, x=18
-3x=36, x=-12
Addition Property of equality
x-5=7, x=12
Subtraction property of equality
x+4= 10, x=6
11 terms
Geometry Properties
Definition of mid point
Verticle angles are congruent
Def of angle bisect
def of linear pair
the point halfway between the endpoints of a segment
2 non adjacent angles formed by intersecting lines
a ray that divides an angle into 2 congruent angles
a pair of adjacent angles that are supplementary
Definition of mid point
the point halfway between the endpoints of a segment
Verticle angles are congruent
2 non adjacent angles formed by intersecting lines
12 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 times c= b times c
If a=b and c does not equal 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
11 terms
Geometry: Properties
Addition Property of Equatity
Subtraction Property of Equatity
Multiplication Property of Equatity
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.
If a = b and c =/= 0, then a/c = b/c.
Addition Property of Equatity
If a = b and c = d, then a + c = b + d.
Subtraction Property of Equatity
If a = b and c = d, then a - c = b - d.
85 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 doesn't = 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
15 terms
Geometry Properties
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Division property of equality
a + c = b + c
a - c = b - c
ac = bc
a/c = b/c
Addition property of equality
a + c = b + c
Subtraction property of equality
a - c = b - c
12 terms
Geometry Properties of Equality and Congruence
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, 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.
21 terms
Geometry Properties
Segment Addition Postulate
Definition Midpoint
Definition Right Angle
Congruent Angles
If B is between A and C, then AB+BC=AC
M is on AB and AM=MB
An angle whose measure is 90 degrees
Two angles that have the same measure
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
Definition Midpoint
M is on AB and AM=MB
13 terms
Properties for Basic Geometry Proofs
Addition Property
Subtraction Property
Division Property
Multiplication 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 as long as C isn't 0.
If A = B, then AxC = BxC
Addition Property
If A = B, then A + C = B + C
Subtraction Property
If A = B, then A - C = B - C
19 terms
Geometry Properties of Equality and Congruence
Reflexive Property of Equality
Reflexive Property of Equality
Reflexive Property of Congruence
Reflexive Property of Congruence
For any angle A, m∠A = m∠A
For any segment AB, AB = AB
Reflexive Property of Equality
For any angle A, m∠A = m∠A
Reflexive Property of Equality
For any segment AB, AB = AB
9 terms
Geometry Properties
Reflexive Property
Symmetric Property
Transitive Property
Addition Property of equality
Reflexive Property
Symmetric Property
29 terms
Chapter 2 Geometry properties
Addition Property Of Equality (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 and c =/ 0, then a/c = b/c
Addition Property Of Equality (POE)
if a = b, then a + c = b + c
Subtraction POE
if a = b, then a - c = b - c
69 terms
Geometry Properties
Segment Addition Postulate
Definition of a Congruent Segment
Definition of a Segment Bisector
Definition of a Midpoint
If three points A, B, C are collinear and B is between A and…
Segments that have the same length (Used when you switch from…
a line, segment, ray, or plane that intersects a segment at i…
divides the segment into two congruent segments
Segment Addition Postulate
If three points A, B, C are collinear and B is between A and…
Definition of a Congruent Segment
Segments that have the same length (Used when you switch from…
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 = bc
If a=b, then a/c = b/c as long as c is not equal to zero
Addition Property
If a=b, then a+c = b+c
Subtraction Property
If a=b, then a-c = b-c
26 terms
Geometry properties
Addition Property of equality
Subtraction property of equality
Multiplication property of equality
division property of equality
x-5=7, x=12
x+4= 10, x=6
x/2=9, x=18
-3x=36, x=-12
Addition Property of equality
x-5=7, x=12
Subtraction property of equality
x+4= 10, x=6
11 terms
Geometry: Properties
Addition Property of Equatity
Subtraction Property of Equatity
Multiplication Property of Equatity
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.
If a = b and c =/= 0, then a/c = b/c.
Addition Property of Equatity
If a = b and c = d, then a + c = b + d.
Subtraction Property of Equatity
If a = b and c = d, then a - c = b - d.
19 terms
Geometry Properties of Equality and Congruence
Reflexive Property of Equality
Reflexive Property of Equality
Reflexive Property of Congruence
Reflexive Property of Congruence
For any angle A, m∠A = m∠A
For any segment AB, AB = AB
Reflexive Property of Equality
For any angle A, m∠A = m∠A
Reflexive Property of Equality
For any segment AB, AB = AB
9 terms
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
14 terms
Geometry Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Propertt of Equality
Division Property of Equality
a=b ---> a+c=b+c... (y+b=mx-b+b)
a=b ---> a-c=b-c... (y-b=mx+b-b)
a=b ---> a•c=b•c... (y•3/5=mx+3/5)
a=b ---> a/c=b/c... (9/3=3x+b)
Addition Property of Equality
a=b ---> a+c=b+c... (y+b=mx-b+b)
Subtraction Property of Equality
a=b ---> a-c=b-c... (y-b=mx+b-b)
33 terms
Geometry properties
Addition Property of equality
Subtraction property of equality
Multiplication property of equality
division property of equality
x-5=7, x=12
x+4= 10, x=6
x/2=9, x=18
-3x=36, x=-12
Addition Property of equality
x-5=7, x=12
Subtraction property of equality
x+4= 10, x=6
36 terms
Geometry properties
Reflexive
Symetric
Transitive
Addition postulate
A quantity congruent to itself (a=a)
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 ar…
Reflexive
A quantity congruent to itself (a=a)
Symetric
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, then a+c=b+c
If a=b, then a-c=b-c
If a=b, then ac=bc
If a=b and c isn't 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
9 terms
Geometry- Properties
Addition Property
Addition Property (congruent segments/…
Subtraction Property
Subtraction Property (congruent segmen…
If a segment is added to congruent/angles segments, then the…
If congruent segments/angles are added to congruent segments,…
...
...
Addition Property
If a segment is added to congruent/angles segments, then the…
Addition Property (congruent segments/…
If congruent segments/angles are added to congruent segments,…
14 terms
Geometry Properties
Angle Measure Postulate
Equal Angle Measures Theorem
Linear Pair Theorem
Vertical Angles Theorem
If angles AVC and CVB are adjacent angles, then m/_ACV + m/_C…
If two angles have the same measure, their complements have t…
If two angles form a linear pair, then they are supplementary.
If two angles are vertical angles, then their measures are eq…
Angle Measure Postulate
If angles AVC and CVB are adjacent angles, then m/_ACV + m/_C…
Equal Angle Measures Theorem
If two angles have the same measure, their complements have t…
5 terms
geometry properties
reflexive property
symmetric property
addition property
subtraction property
for every number a, a=a
for all numbers a and b, if a=b and b=c then a=c
for all numbers a, b, and c, if a=b then a+c=b+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 all numbers a and b, if a=b and b=c then a=c
18 terms
Geometry Properties
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If a=c & b=d, then a+b=c+d
If a=c & b=d, then a-b=c-d
If a=b then ca=cb
If a=b & c not= 0 then a/c=b/c
Addition Property of Equality
If a=c & b=d, then a+b=c+d
Subtraction Property of Equality
If a=c & b=d, then a-b=c-d
25 terms
Geometry Properties
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
13 terms
Geometry Properties
Substitution Property of Equality
Subtraction Property of Equality
Addition Property of Equality
Reflexive Property of Equality
If a=b then b can replace a in any equation
If a=b then a-c = b-c
If a=b then a+c = b+c
a=a
Substitution Property of Equality
If a=b then b can replace a in any equation
Subtraction Property of Equality
If a=b then 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=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.
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
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 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
20 terms
Geometry Properties
Conditional
Converse
Inverse
Contrapositive
p->q
q->p
~p->~q
~q->~p
Conditional
p->q
Converse
q->p
17 terms
Geometry Properties
Addition/ Subtraction Property of Equa…
Multiplication/ Division Property of E…
Reflexive Property of Equality
Symmetric Property of Equality
If a=b, the a+c = b+c... or... If a=b, then a-c = b-c
If a=b, then ac = bc... or... If a=b and c doesn't equal 0, th…
a = a
If a = b, then b = a
Addition/ Subtraction Property of Equa…
If a=b, the a+c = b+c... or... If a=b, then a-c = b-c
Multiplication/ Division Property of E…
If a=b, then ac = bc... or... If a=b and c doesn't equal 0, th…
Basic Geometry Vocabulary and Properties
Conditional Statement
Converse statement
Inverse Statement
Contrapositive
An if-then statement symbolized by p->q, where p is the hypot…
Switching the hypothesis and conclusion of a conditional stat…
The inverse of a conditional statement is formed by negating…
Switching the hypothesis and conclusion of a conditional stat…
Conditional Statement
An if-then statement symbolized by p->q, where p is the hypot…
Converse statement
Switching the hypothesis and conclusion of a conditional stat…
9 terms
Geometry Properties
Reflexive Property
Transitive Property
Symmetric Property
Addition Property of Equality
a quantity equal to itself
If two quantities are equal to the same quantity, then they a…
If a quantity is equal to a second quantity, then the second…
If equal quantities are added to equal quantities, then the s…
Reflexive Property
a quantity equal to itself
Transitive Property
If two quantities are equal to the same quantity, then they a…
8 terms
Geometry properties
Addition Property
Subtraction Property
Multiplication Property
Division Property
A=B C=D then A+C=B+D
A=B C=D then A-C=B-D
A=B the CA=BC
A=B C≠0 then A/C=B/C
Addition Property
A=B C=D then A+C=B+D
Subtraction Property
A=B C=D then A-C=B-D
9 terms
Geometry Properties
Addtiion property
Subtraction property
Multiplication property
Division property
If a = b, then a + b = b + c
If a = b, then a — b = b — c
If a = b, then a • b = b • c
If a = b and c does not equal 0, then a/c = b/c
Addtiion property
If a = b, then a + b = b + c
Subtraction property
If a = b, then a — b = b — c
Geometry: Properties:
Addition Property:... if A = B
Subtraction Property:... if A = B
Substitution Property:... if A = B
Reflexive Property (for real numbers):…
then A + C equals B + C
then A - C equals B - C
then A can be substituted for B in any equation or expression
then a = a
Addition Property:... if A = B
then A + C equals B + C
Subtraction Property:... if A = B
then A - C equals B - C
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, 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, then a-c = b-c
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•C=B•C
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
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