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Study sets matching "honors theorems geometry theorems properties postulates"

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Study sets matching "honors theorems geometry theorems properties postulates"

29 terms
Honors Geometry Postulates/Theorems/Properties
Midpoint theorem
Addition property of =
Subtraction property of =
Multiplication property of =
If M is the midpoint of segment AB, then segment AM ≅ MB.
If a=b, then a+c = a+b.
If a=b, then a-c = b-c.
If a=b, then a x c = b x c.
Midpoint theorem
If M is the midpoint of segment AB, then segment AM ≅ MB.
Addition property of =
If a=b, then a+c = a+b.
37 terms
Geometry Honors Theorems, Properties, Postulates
If two angles are right angles, then t…
If two angles are straight angles, the…
If angles or segments are congruent to…
If angles or segments are congruent to…
Theorem
Theorem
Theorem
Theorem
If two angles are right angles, then t…
Theorem
If two angles are straight angles, the…
Theorem
54 terms
Geometry Honors: Postulates, Theorems, and Properties
Postulate 1
Postulate 2
Postulate 3
Postulate 4
- Ruler Postulate... -points on a line can be paired w the real…
-if B is bw A and C, then... AB + BC = AC
-protractor postulate... -match rays w real numbers on a protrac…
-Angle Addition Postulate... -if point B lies in interior of an…
Postulate 1
- Ruler Postulate... -points on a line can be paired w the real…
Postulate 2
-if B is bw A and C, then... AB + BC = AC
54 terms
Honors Geometry: Postulates, Properties & Theorems
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
True
The points on a line can be matched one to one with real numb…
If B is between A and C in segment AC, then... AB + BC = AC
If D is in the interior of Angle ABC, then... (meas.)angle ABD +…
State whether the following statement is true or false: ... Thro…
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A and C in segment AC, then... AB + BC = AC
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.
19 terms
Geometry Honors Theorems & Postulates
Right Angle Congruence Theorem
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
If 2 angles are right angles, then they are congruent
If 2 angles are vertical angles, then they are congruent
If 2 angles are supplementary to the same angle or congruent…
If 2 angles are complementary to the same angle or congruent…
Right Angle Congruence Theorem
If 2 angles are right angles, then they are congruent
Vertical Angles Theorem
If 2 angles are vertical angles, then they are congruent
94 terms
Geometry Honors Talbot Theorems, Properties & Postulates
ruler postulate 1-2-1
segment addition postulate
protractor postulate
angle addition postulate
the points on a line can be put to a one-to-one correspondenc…
in order to say that a point is between 2 other points, then…
all rays can be drawn from point O and put into a one-to-one…
ruler postulate 1-2-1
the points on a line can be put to a one-to-one correspondenc…
segment addition postulate
in order to say that a point is between 2 other points, then…
25 terms
Honors Geometry Theorems, Postulates, Definitions and properties.
Addition/subtraction property of =
Multiplication property of =
division property of =
substitution prop of =
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
if a=b then either a or b may be substituted for the other in…
Addition/subtraction property of =
if a=b and c=d then a+/-c= b+d
Multiplication property of =
if a=b then ca=cb
69 terms
Postulates, Theorems, Definitions and Properties- Honors Geometry
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Line Postulate
If point B is between points A and C, then AB+BC=AC
On line AB in a given plane, choose any point O between A and…
If point B lies in the interior of ∠AOC, then the m∠AOB and t…
A line contains at least 2 points
Segment Addition Postulate
If point B is between points A and C, then AB+BC=AC
Protractor Postulate
On line AB in a given plane, choose any point O between A and…
103 terms
Geometry Theorems, Properties, and Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points, there is exactly one line.
If two distinct lines intersect, they intersect at exactly on…
If two distinct planes intersect, they intersect at exactly o…
Through any three non-collinear points, there is exactly one…
Postulate 1-1
Through any two points, there is exactly one line.
Postulate 1-2
If two distinct lines intersect, they intersect at exactly on…
46 terms
Honors Geometry Postulates, Theorems, and Properties Quarterly 1
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Distance between A and B, written as AB, is the absolute valu…
If B is BETWEEN points A and C, then AB+BC=AC
The measure of angle AOB, is equal to the absolute value of t…
If B is in the interior of angle AOC, then the measure of ang…
Ruler Postulate
Distance between A and B, written as AB, is the absolute valu…
Segment Addition Postulate
If B is BETWEEN points A and C, then AB+BC=AC
40 terms
Geometry Theorems, Properties, and Postulates
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, c not equal to "zero", 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
24 terms
Honors Geometry Postulates, Properties, Theorems, & Laws.
law of detachment
law of syllogism
postulate 5
postulate 6
if P implies Q is a true conditional statement and P is true,…
if P implies Q and Q implies R is true, then P implies R.
through any two points there exists exactly one line.
a line contains at least two points.
law of detachment
if P implies Q is a true conditional statement and P is true,…
law of syllogism
if P implies Q and Q implies R is true, then P implies R.
25 terms
Geometry Properties, Postulates, and Theorems
coordinate midpoint property
segment additive property
angle addition property
linear pair theorem
if B is between A & C,... then AB+BC=AC
if D is on the interior of Angle ABC,... then m Angle ABD + m An…
if two angles form a linear pair,... then the two angles are sup…
coordinate midpoint property
segment additive property
if B is between A & C,... then AB+BC=AC
35 terms
Geometry Theorems, Postulates, and 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•c=b•c
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
59 terms
Geometry Postulates, Theorems, and 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 ≠ 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.
32 terms
Geometry Honors: theorems, properties, postulates, and definitions.
Ruler Postulate
Angle defintion
Protractor Postulate
Angle Addition Postulate
There is a point on the number line for every real number.
An angle is formed by two rays with the same endpoint. The ra…
Any angle can be measured by a protractor.
Adding two angles to make a bigger angle.
Ruler Postulate
There is a point on the number line for every real number.
Angle defintion
An angle is formed by two rays with the same endpoint. The ra…
81 terms
honors geometry properties, postulates, theorems & corollaries
segment addition postulate (2)
angle addition postulate (4)
postulate 5
postulate 6
if B is between A and C, then AB + BC = AC... if AB + BC = AC, t…
if P is in the interior of <RST, then m<RST = <RSP + <PST
through any two points there exists exactly one line
a line contains at least two points
segment addition postulate (2)
if B is between A and C, then AB + BC = AC... if AB + BC = AC, t…
angle addition postulate (4)
if P is in the interior of <RST, then m<RST = <RSP + <PST
17 terms
Honors Geometry Theorems, Postulates, Definitions, and Properties
Converse
Biconditional
Basic Form
Addition Property
If q, then p
p if and only if q
If p, then q
If a=b and c=d, then a+c = b+d
Converse
If q, then p
Biconditional
p if and only if q
31 terms
Geometry Honors Postulates and Theorems
Postulate 1-1-1
Postulate 1-1-2
Postulate 1-1-3
Postulate 1-1-4
Through any two points there is exactly one line
Through any three noncollinear points there is exactly one pl…
If two points lie in a plane, then the line containing those…
If two lines intersect, then they intersect in exactly one po…
Postulate 1-1-1
Through any two points there is exactly one line
Postulate 1-1-2
Through any three noncollinear points there is exactly one pl…
48 terms
Honors Geometry Postulates and Theorems
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A and C, then AB+BC=AC
Consider OB and a point A on one side of OB. The rays of the…
If P is the interior of angleRST, then the measure of angleRS…
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
58 terms
Honors Geometry: Definitions, Postulates, Properties, and Theorems
Segment Addition Postulate
AM + MB = AB
Definition of a Midpoint
If M is the midpoint of AB, then AM = MB
AM + MB = AB
Segment Addition Postulate
If M is the midpoint of AB, then AM = MB
Definition of a Midpoint
Segment Addition Postulate
AM + MB = AB
AM + MB = AB
Segment Addition Postulate
8 terms
Geometry Honors Talbot Postulates, Properties, Theorems, Defintions
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
...
...
Addition Property of Equality
if a = b then a + c = b + c
Subtraction Property of Equality
if a = b, then a - c = b - c
Honors Geometry Postulates and Theorems
Postulate 5
Postulate 6
Postulate 7
Postulate 8
(1) A line contains at least two points (2) A plane contains…
Through any two points there is exactly one line.
(1) Through any three points there is at least one plane (2)…
If two points are in a plane, then the line that contains the…
Postulate 5
(1) A line contains at least two points (2) A plane contains…
Postulate 6
Through any two points there is exactly one line.
21 terms
HONORS GEOMETRY I: properties of equality, theorems, and postulates
Reflexive
Symmetric
Transitive
Addition property
Anything equals itself. AB=AB
If a=b then b=a
If a=b and b=c then a=c
Add the same thing to both sides. If AB=CD, then AB + EF = CD…
Reflexive
Anything equals itself. AB=AB
Symmetric
If a=b then b=a
32 terms
Geometry Honors Theorems and Postulates
theorem 1
theorem 2
theorem 3
theorem 4
If two angles are right angles, then they are congruent
if two angles are straight angles, then they are congruent
If a conditional statement is true, the the contrapositive of…
If angles are supplementary to the same angle, then they are…
theorem 1
If two angles are right angles, then they are congruent
theorem 2
if two angles are straight angles, then they are congruent
27 terms
Geometry Postulates/Theorems/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 B is…
the measure of ∠AOB, which can be written as m∠AOB, is equal…
if b is in the interior of ∠COA, then m∠COA is equal to the s…
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, the B is…
37 terms
Geometry: Properties, Theorems, & Postulates
Definition of Congruent Segments
Definition of Congruent Angles
Segment Addition Postulate
Definition of Midpoint
If AB≅XY Then AB=XY
If ∠1≅∠3 Then m∠1=m∠3
I B is between A and C Then AB+BC_AC
If M is the midpoint of AB Then AM = MB
Definition of Congruent Segments
If AB≅XY Then AB=XY
Definition of Congruent Angles
If ∠1≅∠3 Then m∠1=m∠3
18 terms
Geometry honors theorems and postulates
Midpoint definition
Segment bisector definition
Congruent segments definition
Angle addition postulate
A point that divides the segment into two congruent segments
a point, line, ray, or other segment that intersects a segmen…
Segments that have the same length
Two little angles make one big angle
Midpoint definition
A point that divides the segment into two congruent segments
Segment bisector definition
a point, line, ray, or other segment that intersects a segmen…
20 terms
Geometry Definitions, Postulates, Properties, & Theorems
Definition of congruent segments
Definition of congruent angles
Definition of right angle
Definition of linear pair
1. If segments are congruent, then they have the same measure…
1. If angles are congruent, then they have the same measure.…
1. If an angle has a measure of 90 degrees, then it is a righ…
1. If angles are adjacent angles and are formed by opposite r…
Definition of congruent segments
1. If segments are congruent, then they have the same measure…
Definition of congruent angles
1. If angles are congruent, then they have the same measure.…
29 terms
Geometry: properties, theorems, postulates
Perpendicular lines
postulate 5
Postulate 6
Postulate 7
when two lines intersect to form a right angle
Through any two points there exists exactly one lime
A line contains at least two points
If two lines intersect, then their intersection is exactly on…
Perpendicular lines
when two lines intersect to form a right angle
postulate 5
Through any two points there exists exactly one lime
50 terms
Geometry postulates/theorems/properties
reflexive propety
symmetric property
transitive property
addition postulate
a quantity is 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 a…
reflexive propety
a quantity is congruent to itself (a=a)
symmetric property
If a=b, then b=a
29 terms
Geometry Theorems, Postulates, and Properties
Segment Addition Postulate
Angle Addition Postulate
Two-Point Postulate
Line-Point Postulate
If B is between A and C, then AB+BC=AC.
If P is in the interior of ∠RST, then the measure of ∠RST is…
Through any two points, there is exactly one line.
A line contains at least two points.
Segment Addition Postulate
If B is between A and C, then AB+BC=AC.
Angle Addition Postulate
If P is in the interior of ∠RST, then the measure of ∠RST is…
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.
18 terms
Geometry Properties, Postulates and Theorems
reflexive property
symmetric property
transitive property
postulate
a quantity is equal to itself
an equation may be expressed in either order
if quantities are equal to the same quantity, they are equal…
a statement whose truth is accepted without proof
reflexive property
a quantity is equal to itself
symmetric property
an equation may be expressed in either order
16 terms
Geometry theorems, postulates, and properties
Given two points...
Ruler Postulate
On a ray, there is exactly one point t…
If M is the midpoint of segment AB,
there is a unique distance between them.
There is a one to one correspondence between the two points o…
a given distance from the endpoint of the ray.
then 2AM = AB and AM = 1/2 AB.
Given two points...
there is a unique distance between them.
Ruler Postulate
There is a one to one correspondence between the two points o…
35 terms
Geometry - Postulates, Theorems, & Properties
Postulate 5
Postulate 6
Postulate 8
Postulate 9
Through any 2 points there exists exactly one line
A line contains at least 2 points
Through any 3 non-collinear points there exists exactly one p…
A plane contains at least 3 noncollinear points
Postulate 5
Through any 2 points there exists exactly one line
Postulate 6
A line contains at least 2 points
18 terms
Postulates, Propertys, and theorems- 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 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
Geometry Postulates, Properties, & Theorems
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Perpendicular Lines
A=A
A=B... B=A
If A=B & B=C, then A=C
Lines that intersect and form right angles
Reflexive Property of Equality
A=A
Symmetric Property of Equality
A=B... B=A
20 terms
Geometry Postulates, Properties, and Theorems
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The point on a line can be matched one to one with real numbers
If B is between A and C then AB + BC = AC... If AB + BC = AC, th…
m∠OAB is equal to the absolute value of the difference betwee…
If P id in the interior of ∠RST, then m∠RST = m∠RSP + ∠
Ruler Postulate
The point on a line can be matched one to one with real numbers
Segment Addition Postulate
If B is between A and C then AB + BC = AC... If AB + BC = AC, th…
19 terms
Geometry postulates, theorems, and 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 is not equal to zero 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
27 terms
Honors Geometry Theorems and Postulates
Postulate
Ruler Postulate
Congruent Segments
Segment Addition Postulate
A subject we accept as being true without truly proving it
You can find the distance between any two point on a line.
Two segments that have the same length
If B is between A and C, then AB + BC = AC
Postulate
A subject we accept as being true without truly proving it
Ruler Postulate
You can find the distance between any two point on a line.
114 terms
Geometry Definitions/Postulates/Theorems/Properties
Segment Addition Postulate
Angle Addition Postulate
Conditional Definition
Definition of Linear Pair
If B is between A and C, then AB + BC = AC
If P is in the interior of angle RST, then angle RSP + angle…
If p then q
When the non shared sides of two adjacent angles form opposit…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Angle Addition Postulate
If P is in the interior of angle RST, then angle RSP + angle…
26 terms
Geometry Properties, Theorems, and Postulates
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 ≠ 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
120 terms
Honors Geometry Postulates and Theorems
Linear Pair Postulate
vertical angles theorem
Protractor Postulate
Angle Addition Postulate
if 2 angles form a linear pair, then they are supplementary
vertical angles are congruent
every angles has a degree measure that can be measured with a…
if B is the interior of /_ AOC then m/_AOB + m/_BOC = /_AOC
Linear Pair Postulate
if 2 angles form a linear pair, then they are supplementary
vertical angles theorem
vertical angles are congruent
18 terms
Honors Geometry Theorems/Postulates
If two angles are supplementary to the…
If two angles form a linear pair, then…
If two angles are complementary to the…
All right angles are congurent
Congruent Supplements Theorem
Linear Pair Theorem
Congruent Complements Theorem
Right Angle Congruence Theorem
If two angles are supplementary to the…
Congruent Supplements Theorem
If two angles form a linear pair, then…
Linear Pair Theorem
14 terms
Honors Geometry: Theorems/Postulates
Complementary Angles
Congruent Angles
Congruent Complements Theorem
Congruent Segments
Two angles whose measures have the sum of 90 degrees.
Angles that have the same measure.
If two angles are complementary to the same angle or to congr…
Segments that have the same length.
Complementary Angles
Two angles whose measures have the sum of 90 degrees.
Congruent Angles
Angles that have the same measure.
Honors Geometry: Theorems and Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Every line segment has a length that can be measured with a r…
If B is between A and C, then AB+BC=AC
Every angle has a degree measure that can be measured with a…
If B is in the interior of <RST, then m<RST=m<RSP+m<PST
Ruler Postulate
Every line segment has a length that can be measured with a r…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
10 terms
Honors Geometry(postulates and theorems)
Segment addiction postulate
Angle addition postulate
Supplement theorem
Complement theorem
If A, B, and C are collinear, then point B is between A and C…
D is in the interior of <ABC if and only if m<ABD + m<DBC = m…
If two angles form a linear pair, then they are supplementary…
If the non common sides of two adjacent angles form a right a…
Segment addiction postulate
If A, B, and C are collinear, then point B is between A and C…
Angle addition postulate
D is in the interior of <ABC if and only if m<ABD + m<DBC = m…
40 terms
Geometry Theorems, Postulates, and Properties
supplement theorem
SAP
point-line postulate
point-plane theorem
supplements of congruent angles (or the same angle) are congr…
if AB = CD, then AB + BC = BC + CD
given any two points, there exists exactly one line containin…
given any three non-collinear points there exists exactly one…
supplement theorem
supplements of congruent angles (or the same angle) are congr…
SAP
if AB = CD, then AB + BC = BC + CD
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