Study sets matching "geometry postulates"

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Study sets matching "geometry postulates"

Geometry postulates
Postulate 1
Segment addition postulate
Protractor Postulate
Angle Addition postulate
What can be paired with real numbers to etablish coordinate s…
AB+BC=AC
This is similar to the ruler postulate; if you have a pair of…
If point B lies in the interior of <AOC then m<AOB + m<BOC =…
Postulate 1
What can be paired with real numbers to etablish coordinate s…
Segment addition postulate
AB+BC=AC
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
line, plane
the points on a line can be paired with real numbers
if B is between A and C then AB+BC=AC
one ray of an angle can be paired with 0 degrees and its oppo…
a ________ contains at least two points, a _______ contains a…
Ruler Postulate
the points on a line can be paired with real numbers
Segment Addition Postulate
if B is between A and C then AB+BC=AC
geometry postulates
through any two points, there is exact…
through any three (non-collinear) poin…
a line contains at least two points
a plane contains at least three points…
2.1
2.2
2.3
2.4
through any two points, there is exact…
2.1
through any three (non-collinear) poin…
2.2
20 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on any line can be paired with real numbers such t…
If Q is between P and R, then PQ+QR=PR.
Given ray AB and a number, R, that's between 0 and 180, there…
If point R is in the interior of angle PQS, then the measure…
Ruler Postulate
The points on any line can be paired with real numbers such t…
Segment Addition Postulate
If Q is between P and R, then PQ+QR=PR.
23 terms
Geometry Postulates
Postulate
Ruler postulate
Segment addition postulate
Protractor postulate
A statement that is accepted as true without proof
The points on a line can be matched one to one with the real…
If B is between A and C, then AB 1 BC 5 AC. If AB 1 BC 5 AC,…
Consider Ray OB and a point A on one side of Ray OB . The ray…
Postulate
A statement that is accepted as true without proof
Ruler postulate
The points on a line can be matched one to one with the real…
16 terms
Geometry Postulates
a=a
If a=b and b=c, then a=c
If a=b, then b=a
If a=b, then a+c = b+c
Reflexive property
Transitive property
Symmetric property
Addition property
a=a
Reflexive property
If a=b and b=c, then a=c
Transitive property
Geometry Postulates
Line postulate
Line intersection postulate
Segment duplication postulate
Angle duplication postulate
You can construct exactly one line through any two points
The intersection of two distinct lines is exactly one point
You can construct a segment congruent to another segment
You can construct an angle congruent to another angle
Line postulate
You can construct exactly one line through any two points
Line intersection postulate
The intersection of two distinct lines is exactly one point
geometry postulates
Postulate 5
Postulate 6
Postulate 7
Postulate 8
REMEMBER: a line contains at least two points; a plane contai…
through any two points there is EXACTLY one line
through any three points there is at least one plane, and thr…
If two points are in a plane, then the line that contains the…
Postulate 5
REMEMBER: a line contains at least two points; a plane contai…
Postulate 6
through any two points there is EXACTLY one line
Geometry: Postulates
Postulate 1 (Ruler Postulate)
Postule 2 (Segment Addition Postulate)
Postulate 3 (Protractor Postulate)
Postulate 4 (Angle Addition Postulate)
1. The points on a line can be paried with the real numbers i…
If B is between 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 m<AOB + m<BOC =…
Postulate 1 (Ruler Postulate)
1. The points on a line can be paried with the real numbers i…
Postule 2 (Segment Addition Postulate)
If B is between A and C, then AB + BC = AC.
Geometry Postulates
Law of Syllogism
Law of Detachment
Postulate 5
Postulate 6
If hypothesis p, then conclusion q.... If hypothesis q, then con…
If the hypothesis of a true statement is true, then ... the conc…
Through any two points there exists exactly one line.
A line contains at least two points.
Law of Syllogism
If hypothesis p, then conclusion q.... If hypothesis q, then con…
Law of Detachment
If the hypothesis of a true statement is true, then ... the conc…
Geometry Postulates
Through any two points, there is exact…
Through any three non collinear points…
A line contains at least two points
A plane contains at least three non co…
2.1- Line n is the only line through points P and R
2.2- Plane K is the only plane through non collinear points A…
2.3- Line n contains points P, Q, and R
2.4- plane K contains non collinear points L, B, C, and E
Through any two points, there is exact…
2.1- Line n is the only line through points P and R
Through any three non collinear points…
2.2- Plane K is the only plane through non collinear points A…
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 distinct lines intersect, then they intersect at one p…
If two distinct planes intersect, then they intersect in exac…
Through any three non co-linear 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, then they intersect at one p…
Geometry Postulates
2.1
2.2
2.3
2.4
Through any two points there is exactly one line.
Through any three points there is exactly one plane.
A line contains at least two points.
A plane contains at least three non-collinear points.
2.1
Through any two points there is exactly one line.
2.2
Through any three points there is exactly one plane.
7 terms
geometry (postulates)
through any two points there is exactl…
through any three points there is at l…
if two points are in a plane then the…
if two planes intersect then their int…
through any two points there is exactl…
through any three points there is at l…
9 terms
Geometry Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two parts there is exactly one line
If two distinct lines intersect, then they intersect at exact…
If two distinct planes intersect, then they intersect at exac…
Through any three noncollinear points there is exactly one pl…
Postulate 1-1
Through any two parts there is exactly one line
Postulate 1-2
If two distinct lines intersect, then they intersect at exact…
9 terms
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 distinct lines intersect, then they intersect in exact…
If two distinct planes intersect, then they intersect in exac…
Through any three nonconllinear points there is exactly one p…
Postulate 1-1
Through any two points there is exactly one line.
Postulate 1-2
If two distinct lines intersect, then they intersect in exact…
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.
13 terms
Geometry Postulates
To make a line
Ruler
Segment Addition
Protractor
Through any 2 points there is 1 line
Every point on a line can be paired with a real number. This…
If 3 points, A, B, and C, are collinear, and B is between A a…
Every ray can be paired 1-to-1 with a real number from 0-180
To make a line
Through any 2 points there is 1 line
Ruler
Every point on a line can be paired with a real number. This…
10 terms
geometry postulates
through any ____ points there is exact…
through any three ________ points, the…
a line contains at least __ points.
a plane contains at least ___ noncolli…
two, line
noncollinear, plane
2
3
through any ____ points there is exact…
two, line
through any three ________ points, the…
noncollinear, plane
12 terms
geometry: postulates
corresponding angles postulate
alternate interior angles theorem
alternate exterior angles theorem
consecutive interior angles theorem
if 2 parallel limes are cut by a transversal, then EACH PAIR…
if 2 parallel lines are cut by a transversal, then EACH PAIR…
If 2 parallel lines are cut by a transversal, then EACH PAIR…
If 2 parallel lines are cut by a transversal, then EACH PAIR…
corresponding angles postulate
if 2 parallel limes are cut by a transversal, then EACH PAIR…
alternate interior angles theorem
if 2 parallel lines are cut by a transversal, then EACH PAIR…
9 terms
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 distinct lines intersect, then they intersect in exact…
If two distinct planes intersect then they intersect in exact…
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 distinct lines intersect, then they intersect in exact…
11 terms
Postulates for 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
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
geometry postulates
through any 2 distinct points there ex…
a line contains at least two points
if two lines intersect, then their int…
through any 3 noncollinear points ther…
...
...
...
...
through any 2 distinct points there ex…
...
a line contains at least two points
...
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
12 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Protractor Postulate
1. The points on a line can be paired with the real numbers i…
If B is between A and C, then AB+BC=AC
If point B lies in the interior of angle AOC, then the measur…
On line AB in a given plane, choose any point 0 between A and…
Ruler Postulate
1. The points on a line can be paired with the real numbers i…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
5 terms
Geometry Postulates
Postulate one
Postulate two
Postulate three
Postulate four
through any two points there is exactly one line
through any three nonlinear points there is exactly one plane…
if two points lie in a plane then the line containing those p…
if two lines intersect they intersect in exactly one point
Postulate one
through any two points there is exactly one line
Postulate two
through any three nonlinear points there is exactly one plane…
16 terms
Geometry Postulates
If B is between A and C... (segment addit…
If B lies interior of <AOC... (angle addi…
Through any 2 points
Through any 3 noncollinear points
then AB+BC=AC
m<AOB+m<BOC=m<AOC
there is exactly 1 line
there is exactly 1 plane
If B is between A and C... (segment addit…
then AB+BC=AC
If B lies interior of <AOC... (angle addi…
m<AOB+m<BOC=m<AOC
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.
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…
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…
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
Postulates in 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
19 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Linear Pair Postulate
Parallel Postulate
The points on a line can be matched one to one with the real…
What postulate does this rule reflect?... If B is between A and…
If two angles form a linear pair, then they are supplementary.
If there is a line and a point not on the line, then there is…
Ruler Postulate
The points on a line can be matched one to one with the real…
Segment Addition Postulate
What postulate does this rule reflect?... If B is between A and…
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)
Geometry Postulates
What is another name for postulates?
What are postulates?
What does Postulate 1-1 state?
What does Postulate 1-2 state?
axiom
Accepted statements of facts
Through any two points there is exactly one line.
If two distinct lines intersect, then they intersect in exact…
What is another name for postulates?
axiom
What are postulates?
Accepted statements of facts
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Linear Pair 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, then B…
If P is in the interior of (a)RST, then m(a) RSP+m(a)PST=m(a)…
If two angles form a linear pair,then they are supplementary.
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, then B…
Postulates for Geometry
postulate or axiom
Postulate 1.1
Postulate 1.2
Postulate 1.3
an accepted statement of fact
Through any two points, there is exactly one line
If 2 lines intersect, they intersect at exactly one point
If 2 planes intersect, they intersect at exactly one line
postulate or axiom
an accepted statement of fact
Postulate 1.1
Through any two points, there is exactly one line
14 terms
Postulates in 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
Postulates for Geometry
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Only one straight line can be drawn through two points; two p…
A straight line is the shortest line connecting two points in…
A line segment can be bisected at only one point.
Two lines in the same plane either intersect or are parallel.…
Postulate 1
Only one straight line can be drawn through two points; two p…
Postulate 2
A straight line is the shortest line connecting two points in…
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
22 terms
Postulates for Geometry
Segment Addition Postulate
Angle Addition Postulate
Postulate 5
Postulate 6
If B is between A and C, then AB + BC = AC
measure of angle RST = measure of angle RSP + measure of angl…
Through any two points there exists exactly
A line contains at least two points
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Angle Addition Postulate
measure of angle RST = measure of angle RSP + measure of angl…
Geometry Postulates
Postulate 1 ... (Ruler Postulate)
Postulate 2 ... (Segment Addition Postula…
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
...
...
Postulate 1 ... (Ruler Postulate)
1. The points on a line can be paired with real numbers in su…
Postulate 2 ... (Segment Addition Postula…
If B is between A and C, then ... AB + BC = AC
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
Geometry - Postulates and theorems
segment addition postulate
reflexive property
congruent
midpoint theorem
AB + BC = AC
any segment or angle is congruent/equal to itself (AB = AB) (…
have equal measure
If AB + BC = AC and AB=BC
segment addition postulate
AB + BC = AC
reflexive property
any segment or angle is congruent/equal to itself (AB = 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.
5 terms
Postulates (Geometry)
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
Converse of the Corresponding Angles P…
If B is between A and C , then AB+BC+=AC
If S is in the Interior of angle PQR, then the measure of PQS…
If two parallel lines are cut by a transversal, then the pair…
If two coplanar lines are cut by a transversal so that a pair…
Segment Addition Postulate
If B is between A and C , then AB+BC+=AC
Angle Addition Postulate
If S is in the Interior of angle PQR, then the measure of PQS…
Geometry Postulates
Slopes of parallel lines postulate
Slopes of perpendicular lines postulate
Corresponding angles postulate
Ruler postulate
In a coordinate plane, 2 non vertical lines are parallel if a…
In a coordinate plane, two nonvertical lines are perpendicula…
If two parallel lines are cut by a transversal then the pairs…
The points on a line can be matched one to one with real numb…
Slopes of parallel lines postulate
In a coordinate plane, 2 non vertical lines are parallel if a…
Slopes of perpendicular lines postulate
In a coordinate plane, two nonvertical lines are perpendicula…
10 terms
Geometry-Postulates-The Basics
Through any two points there is exactl…
Through any three noncollinear points…
If two points lie in a plane, then the…
If two lines intersect, then they inte…
Through any two points there is exactl…
Through any three noncollinear points…
Geometry Postulates
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
Converse of the Corresponding Angles P…
If B is between A and C, then AB + BC = AC.
If S is in the interior of ∠PQR, then m∠ PQS + m∠SQR = m∠ PQR.
If two parallel lines are cut by a transversal, then the pair…
If two coplanar lines are cut by a transversal so that a pair…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC.
Angle Addition Postulate
If S is in the interior of ∠PQR, then m∠ PQS + m∠SQR = m∠ PQR.
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