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Study sets matching "geometry postulates"

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Study sets matching "geometry postulates"

15 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
22 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
5 terms
Geometry Postulates
Postulate 1
Postulate 2
The Ruler Postulate (Postulate 3)
The Protractor Postulate (Postulate 4)
Two points determine a unique straight line.
Three noncollinear points determine a unique plane
a. To every point on a line there corresponds exactly one rea…
a. The rays in a half rotation (180 degrees) can be numbered…
Postulate 1
Two points determine a unique straight line.
Postulate 2
Three noncollinear points determine a unique plane
10 terms
Geometry Postulates
Through any two points, there exists e…
A line contains at least two points.
If two lines intersect, their intersec…
Through any three nocollinear points t…
Through any two points, there exists e…
A line contains at least two points.
14 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
14 terms
Geometry: Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
If you take a line segment and divide it into equal segments…
If B is between A and C, then AB + BC = AC (the parts add up…
On line AB in a given plane, chose any point O between A and…
If point B lies in the interior of /_AOC, then the m/_AOB + m…
Ruler Postulate
If you take a line segment and divide it into equal segments…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC (the parts add up…
14 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
14 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
7 terms
Geometry - Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
accepted rule that a ruler can find a distance
if B is between A and C, then AB + BC = AC
the measure of an angle is equal to the absolute value of the…
if P is in the interior of the angle RST, then the measure of…
Ruler Postulate
accepted rule that a ruler can find a distance
Segment Addition Postulate
if B is between A and C, then AB + BC = AC
15 terms
Geometry postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
15 terms
Geometry Pre AP postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
22 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
Geometry Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points there is exactly one line.
If two lines intersect, then they intersect in exactly one po…
If two planes intersect, then they intersect in exactly one l…
Through any three noncollinear points there is exactly one pl…
Postulate 1-1
Through any two points there is exactly one line.
Postulate 1-2
If two lines intersect, then they intersect in exactly one po…
10 terms
Geometry Postulates Chapter 1
Postulate 1-1 Through any two points,…
Postulate 1-2 If two distinct lines in…
Postulate 1-3 If two distinct _______i…
Postulate 1-4 Through any ________poin…
line
point
planes
three noncollinear
Postulate 1-1 Through any two points,…
line
Postulate 1-2 If two distinct lines in…
point
10 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Given two points, there corresponds a unique positive number…
Given two rays, there corresponds a unique positive number ca…
Ruler Postulate
Given two points, there corresponds a unique positive number…
Segment Addition Postulate
11 terms
Geometry Postulates
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. If AB + BC = AC,…
Consider ray OB and a point A on one side of of ray OB. The r…
If P is in the interior of angle of RST, then the measure of…
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. If AB + BC = AC,…
8 terms
Geometry Postulates
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Through any two points there is exactly one line
If two lines intersect they intersect in exactly one point
If two planes intersect, they intersect in exactly one line
Through any three non-collinear points there exists exactly o…
Postulate 1
Through any two points there is exactly one line
Postulate 2
If two lines intersect they intersect in exactly one point
Geometry-Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be match one to one with real number…
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
Consider a point A on one side of line OB. The rays of a form…
If P is in the interior of ∠RST, then m∠RSP+m∠PST=m∠RST.
Ruler Postulate
The points on a line can be match one to one with real number…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
9 terms
geometry postulates
Postulate 1- Ruler Postulate
Postulate 2- Segment Addition Postulate
Postulate 3
Postulate 4- Angle Addition Postulate
the points on a line can be paired with the real numbers in s…
ex. if B is between A and C then: AB+BC=AC
rays can be paired with the real numbers from 1-180
if a point lies in the interior of and angle, then you would…
Postulate 1- Ruler Postulate
the points on a line can be paired with the real numbers in s…
Postulate 2- Segment Addition Postulate
ex. if B is between A and C then: AB+BC=AC
8 terms
Geometry Postulates
Postulate(a statement that is accepted…
Postulate 2
Postulate 3, postulate 4
Postulate 5
The points on a line can be paired in a one-to-one correspond…
If B is between A and C, then AB+BC=AC
Please see the text book for diagram explanation
Through any two points there is exactly one line
Postulate(a statement that is accepted…
The points on a line can be paired in a one-to-one correspond…
Postulate 2
If B is between A and C, then AB+BC=AC
11 terms
Geometry Postulates
ruler postulate
segment addition postulate
protractor postulate
angle addition postulate
the points on a line can paired in a one-to-one correspondenc…
if B is between A and C, then AB + BC = AC
given a point X on line PR, consider rays XP and XR as well a…
if point D is in the interior of angle ABC, then m angleABD +…
ruler postulate
the points on a line can paired in a one-to-one correspondenc…
segment addition postulate
if B is between A and C, then AB + BC = AC
18 terms
Geometry Postulates
Postulate 1 - Ruler Postulate
Postulate 2 - Segment Addition Postulate
Postulate 3 - Protractor Postulate
Postulate 4 - 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 ... AND ... If AB + BC =…
<AOB is equal to the absolute value of the difference between…
If B is the interior of angle AOC, then the measure of angle…
Postulate 1 - Ruler Postulate
The points on a line can be matched one to one with the real…
Postulate 2 - Segment Addition Postulate
If B is between A and C, then AB + BC = AC ... AND ... If AB + BC =…
18 terms
Geometry Postulates
The Distance Postulate (2-4)
The Ruler Postulate (2-5)
The Ruler Placement Postulate (2-5)
The Line Postulate
To every pair of different points there corresponds a unique…
1. One point of the line for each number... 2. One number for ea…
Given 2 Points of a line, the coordinate system can be shifte…
For every two different points there is exactly one line that…
The Distance Postulate (2-4)
To every pair of different points there corresponds a unique…
The Ruler Postulate (2-5)
1. One point of the line for each number... 2. One number for ea…
19 terms
Geometry Lines Postulates
collinear points
coplanar
parallel lines
parallel planes
Points that lie on the same line.
points that lie on the same plane
coplanar lines that do not intersect
planes that do not intersect.
collinear points
Points that lie on the same line.
coplanar
points that lie on the same plane
14 terms
Geometry Postulates and Theorums
Same Side Interior Angles Postulate
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then the same…
If a transversal intersects two parallel lines, then alternat…
If a transversal intersects two parallel lines, then correspo…
If a transversal intersects two parallel lines, then alternat…
Same Side Interior Angles Postulate
If a transversal intersects two parallel lines, then the same…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, then alternat…
20 terms
Geometry Definitions, Postulates and Theorems
Definition of Midpoint
Vertical Angles Theorem
Reflexive property
Symmetric property
(Not def. Of congruent segments)
∠CXE=∠CXE
GH = KL so ... KL = GH
Definition of Midpoint
(Not def. Of congruent segments)
Vertical Angles Theorem
13 terms
geometry postulates and theroms
points existence postulate
straight line postulate
plane postulate
flat plane postulate
space contains at least four noncoplanar points. every plane…
two points are contained in one and only one line (two points…
three noncollinear points are contained in one and only one p…
if two points are in a plane, then the line containing the po…
points existence postulate
space contains at least four noncoplanar points. every plane…
straight line postulate
two points are contained in one and only one line (two points…
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
28 terms
Geometry Postulates/Axioms
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulates
Distance between two points A and B on a line can be found by…
If B is between AC, then AB + BC = AC
Think about protractor :)
If C is the interior angle of AOD, then ∠AOD = ∠AOC + ∠COD
Ruler Postulate
Distance between two points A and B on a line can be found by…
Segment Addition Postulate
If B is between AC, then AB + BC = AC
18 terms
Geometry Postulates
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... If AB+BC=AC, then B is…
Consider OB and a point A on one side of OB. The rays ⃗... of th…
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... If AB+BC=AC, then B is…
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
14 terms
Geometry Theorems/Definitions/Postulates
Linear Pairs are Supplementary.
Perpendicular Lines form right angles.
All right angles are congruent.
Supplements of congruent angles are co…
Right
Supplementary (Working with total of 4 angles)
Linear Pairs are Supplementary.
Perpendicular Lines form right angles.
7 terms
Geometry Postulates
Postulate 1
Postulate 2
Postulate 3 (The Ruler Postulate)
Postulate 4 (The protractor postulate)
Two points determine a line
Three non collinear points determine a plane
The points on a line can be numbered so that positive number…
The rays in a half rotation can be numbered from 0 to 180 so…
Postulate 1
Two points determine a line
Postulate 2
Three non collinear points determine a plane
11 terms
Geometry Postulates
Postulate 1
Postulate 2
Postulate 3
Postulate 4
RULER POSTULATE : The points on a line can be matched one to…
SEGMENT ADDITION POSTULATE: If B is between A and C, then AB+…
PROTRACTOR POSTULATE:
ANGLE ADDITION POSTULATE:
Postulate 1
RULER POSTULATE : The points on a line can be matched one to…
Postulate 2
SEGMENT ADDITION POSTULATE: If B is between A and C, then AB+…
10 terms
Geometry Postulates
Through any two points, there exists e…
A line contains at least two points.
If two lines intersect, their intersec…
Through any three nocollinear points t…
Through any two points, there exists e…
A line contains at least two points.
12 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Postulate 6
1. The points on a line can be paired with the real numbers i…
If B is between A & C, then AB + BC = AC
1. AB + BC = AC
Through any 2 points there is exactly one line
Ruler Postulate
1. The points on a line can be paired with the real numbers i…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
12 terms
Geometry postulates
postulate 1-ruler postulate
postulate 2-segment addition postulate
postulate 3-protractor postulate
postulate 4-angle addition postulate
1. the points on a line can be paired with real numbers in su…
if b is between a and c, then ab+bc=ac
1. how to set up a protractor ... 2. how to measure an angle
measurement of angle cob+measurement of angle boa=measurement…
postulate 1-ruler postulate
1. the points on a line can be paired with real numbers in su…
postulate 2-segment addition postulate
if b is between a and c, then ab+bc=ac
10 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
12 terms
Geometry Postulates
Side Angle Side (SAS)
Side Side Side (SSS)
Included Angles
Included Sides
If 2 sides and an included angle are congruent to 2 sides and…
Three sides of one triangle are congruent to three sides of t…
Angle formed by 2 adjacent sides
Sides located between 2 angles
Side Angle Side (SAS)
If 2 sides and an included angle are congruent to 2 sides and…
Side Side Side (SSS)
Three sides of one triangle are congruent to three sides of t…
13 terms
Postulates (Geometry)
Postulate 1
Postulate 2
Angle, Vertex
Angle Bisector
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. If AB+BC=AC, then B i…
__________ Consist of 2 different rays with the same endpoint…
Ray that divides 2 angles that are congruent.
Postulate 1
The points on a line can be matched one to one with the real…
Postulate 2
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
13 terms
Geometry postulates
Segment addition postulate
Through any two points there is exactl…
If two planes intersect then their int…
through any three points there is at l…
this is an example of what postulate?
Segment addition postulate
this is an example of what postulate?
Through any two points there is exactl…
22 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
8 terms
Geometry Postulates
postulate
postulate 2.1
postulate 2.2
postulate 2.3
a statement that is accepted as true without proof. Also know…
Through any two points, there is exactly one line.
Through any three noncollinear points, there is exactly one p…
A line contains at least two points.
postulate
a statement that is accepted as true without proof. Also know…
postulate 2.1
Through any two points, there is exactly one line.
26 terms
Geometry Postulates
The points on a line can be matched on…
If B is between A and C, then AB + BC…
Consider OB-> and a point A on one sid…
If P is in the interior of ∠RST, then…
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched on…
Ruler Postulate
If B is between A and C, then AB + BC…
Segment Addition Postulate
8 terms
Geometry Postulates
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
Slopes of Parallel Lines
If B is between A and C, then AB+BC= AC. If AB+BC=AC, then B…
If B is in the interior of Angle AOC, then m<AOB+m<BOC= m<AOC
If 2 parallel lines are cut by a transversal, then each pair…
2 nonvertical lines have the same slope if and only if they a…
Segment Addition Postulate
If B is between A and C, then AB+BC= AC. If AB+BC=AC, then B…
Angle Addition Postulate
If B is in the interior of Angle AOC, then m<AOB+m<BOC= m<AOC
22 terms
Geometry Postulates
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 & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
21 terms
Geometry-Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be match one to one with real number…
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
Consider a point A on one side of line OB. The rays of a form…
If P is in the interior of ∠RST, then m∠RSP+m∠PST=m∠RST.
Ruler Postulate
The points on a line can be match one to one with real number…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
19 terms
Geometry postulates
3.1(Reflexive Property)
3.2(Symmetric Property)
3.3(Transitive Property)
3.4(Quantity)
a=a
If a=b, then b=a.
If a=b and b=c, then a=c.
A quantity may be substituted for its equal in any statement…
3.1(Reflexive Property)
a=a
3.2(Symmetric Property)
If a=b, then b=a.
Geometry Postulates
P1-1
P1-2
P1-3
P1-4
Through any two points there is exactly one line.
If two distinct lines intersect, then they intersect in exa…
If two distinct planes intersect, then they intersect in ex…
Through any three non-collinear points there is exactly *on…
P1-1
Through any two points there is exactly one line.
P1-2
If two distinct lines intersect, then they intersect in exa…
21 terms
Postulates(Geometry)
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Postulate 1
Ruler Postulate
Postulate 2
Segment Addition Postulate
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