Study sets matching "postulates"
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Intersection of lines
Intersection of planes
Three non collinear points determine a…
Ruler Postulate
If two distinct lines intersect, they intersect at exactly one…
If two distinct planes intersect, then they intersect in exact…
Through any three non collinear points, there is exactly one p…
Every point of a line can be placed in correspondence with a r…
Intersection of lines
If two distinct lines intersect, they intersect at exactly one…
Intersection of planes
If two distinct planes intersect, then they intersect in exact…
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
Through any 2 points there is exactly one line
Through any 3 non collinear points there is exactly 1 plane
A line contains at least 2 points
A plane contains at least three non collinear points
Postulate 2.1
Through any 2 points there is exactly one line
Postulate 2.2
Through any 3 non collinear points there is exactly 1 plane
1.1 Ruler Postulate
1.2 Segment Addition Postulate
1.3 Protractor Postulate
1.4 Angle Addition Postulate
The points on a line can be matched one to one with the real n…
If B is between A and C, then AB + BC = AC.... If AB + BC =AC, th…
Consider line OB and a point A on one side of line OB. The ray…
If P is in the interior of andgle RST, then the measure of ang…
1.1 Ruler Postulate
The points on a line can be matched one to one with the real n…
1.2 Segment Addition Postulate
If B is between A and C, then AB + BC = AC.... If AB + BC =AC, th…
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
Through any 2 points there is exactly one line
Through any 3 non collinear points there is exactly 1 plane
A line contains at least 2 points
A plane contains at least three non collinear points
Postulate 2.1
Through any 2 points there is exactly one line
Postulate 2.2
Through any 3 non collinear points there is exactly 1 plane
Ruler Postulate (Postulate 1)
Segment Addition Postulate (Postulate 2)
Protractor Postulate (Postulate 3)
Angle Addition Postulate (Postulate 4)
1. The points on a line can be paired with the real numbers in…
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 lie in the interior of ∠AOC, then m∠AOB+m∠BOC=m∠AOC.
Ruler Postulate (Postulate 1)
1. The points on a line can be paired with the real numbers in…
Segment Addition Postulate (Postulate 2)
If B is between A and C, then AB+BC=AC.
through any two points
through any three noncollinear points
on any line
on any plane
there is exactly one line
there is exactly one plane
there are at least two points
there are at least 3 noncollinear points
through any two points
there is exactly one line
through any three noncollinear points
there is exactly one plane
Postulate 1 (Ruler)
Postulate 2 (Segment Addition)
Postulate 5
Postulate 6
Points in a line can be matched 1:1 with real numbers. The rea…
If B is between A and C, then AB+BC=AC must be true
A line contains at least two points; a plane contains at least…
Through any two points there is exactly one line
Postulate 1 (Ruler)
Points in a line can be matched 1:1 with real numbers. The rea…
Postulate 2 (Segment Addition)
If B is between A and C, then AB+BC=AC must be true
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
every line segment has a length that can be measured with a ru…
If B is between A and C then AB+ BC= AC ... if AB+BC=AC then B is…
every angle has a degree measure that can be measured with a p…
if P 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 ru…
Segment Addition Postulate
If B is between A and C then AB+ BC= AC ... if AB+BC=AC then B is…
Postulate 1
Postulate 1a
Postulate 1b
Postulate 2
a line contains at least 2 points
a plane contains at least 3 points not all on the same line
space contains at least 4 points, not all on the same plane
through any 2 different points, one line exist
Postulate 1
a line contains at least 2 points
Postulate 1a
a plane contains at least 3 points not all on the same line
Two Point Postulate
Line Point Postulate
Line Intersection Postulate
Three Point Postulate
Through any two points, there exists exactly one line.
A line contains at least two points.
If two lines intersect, then there intersection is exactly one…
Through any three noncollinear points, there exists exactly on…
Two Point Postulate
Through any two points, there exists exactly one line.
Line Point Postulate
A line contains at least two points.
Line Postulate
Line Intersection Postulate
Midpoint Postulate
Angle Bisector Postulate
You can construct... exactly one line through any... two points. In…
The intersection of two distinct lines is exactly one point.
You can construct exactly one midpoint on any line segment.
You can construct exactly one angle bisector in any angle.
Line Postulate
You can construct... exactly one line through any... two points. In…
Line Intersection Postulate
The intersection of two distinct lines is exactly one point.
ruler postulate
segment addition postulate
protractor postulate
angle addition postulate
if point B is between A and C on the same line, AB+BC=AC
(if OA is paired with 55°and OB is paired with 180°, the measu…
the measure of AOB plus the measure of BOC equals the measure…
ruler postulate
segment addition postulate
if point B is between A and C on the same line, AB+BC=AC
Postulate/Axiom
Postulate 1-1
Postulate 1-2
Postulate 1-3
Accepted statement or fact
through any two points there is exactly one line
if two distinct lines intersect then they intersect at exactly…
if two distinct places intersect then they intersects at exact…
Postulate/Axiom
Accepted statement or fact
Postulate 1-1
through any two points there is exactly one line
Postulate
Postulate 1 (Ruler Postulate)
Postulate 2 (Segment Addition Postulate)
Postulate 3 (Protractor Postulate)
assumptions accepted without proof
1. points on a line can be paired with real numbers in such a…
if B is between A and C, the AB+BC=AC
Postulate
assumptions accepted without proof
Postulate 1 (Ruler Postulate)
1. points on a line can be paired with real numbers in such a…
Postulate
Through any two distinct points there e…
If two lines intersect, then they inter…
If two planes intersect, then they inte…
An accepted statement of fact. ( does not need to be proven)
exactly one
exactly one
line
Postulate
An accepted statement of fact. ( does not need to be proven)
Through any two distinct points there e…
exactly one
Ruler Postulate (Postulate 1)
Segment Addition Postulate (Postulate 2)
Protractor Postulate (Postulate 3)
Angle Addition Postulate (Postulate 4)
1. The points on a line can be paired with the real numbers in…
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 lie in the interior of ∠AOC, then m∠AOB+m∠BOC=m∠AOC.
Ruler Postulate (Postulate 1)
1. The points on a line can be paired with the real numbers in…
Segment Addition Postulate (Postulate 2)
If B is between A and C, then AB+BC=AC.
#1 Ruler Postulate
#2 Segment Addition Postulate
#3 Protractor Postulate
#4 Angle Addition Postulate
The points on a line can be matched 1 to 1 with a real number.…
If B is between A and C then line AB + line BC = line AC
Consider line OB and a point A on one side of line OB. The ray…
If P is in the interior of angle RST, then the measure of angl…
#1 Ruler Postulate
The points on a line can be matched 1 to 1 with a real number.…
#2 Segment Addition Postulate
If B is between A and C then line AB + line BC = line AC
Postulate 5
Postulate 6
Postulate 7
Postulate 8
A line contains at least two points; a plane contains at least…
Through any two points there is exactly one line.
Through any three points there is a least one plane, and throu…
If two points are in a plane, then the line that contains the…
Postulate 5
A line contains at least two points; a plane contains at least…
Postulate 6
Through any two points there is exactly one line.
Through any two points, there is ______…
Through any three non collinear points,…
A _____ contains at least two points
A _______ contains at least three non c…
exactly one line
exactly one plane
line
Plane
Through any two points, there is ______…
exactly one line
Through any three non collinear points,…
exactly one plane
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Two Point Postulate
The points on a line can be matched one to one with the real n…
If B is between A and C, then AB + BC =AC. If AB + BC = AC, th…
If P is in the interior of angle RST, then angle RST = angle R…
Through any two points, there exists exactly one line
Ruler Postulate
The points on a line can be matched one to one with the real n…
Segment Addition Postulate
If B is between A and C, then AB + BC =AC. If AB + BC = AC, th…
Ruler Postulate
Segment Addition postulate
Protractor postulate
Angle addition postulate
The points on a line can be matched one to one with real numbe…
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is…
Consider ray OB and a point A on one side of ray OB. The rays…
If P is in the interior of angle RST, the measure of angle RST…
Ruler Postulate
The points on a line can be matched one to one with real numbe…
Segment Addition postulate
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B is…
Postulate
Parallel Postulate
Perpendicular Postulate
Ruler Postulate
Through any two points there exists exactly one line, Through…
If there is a linen a point that is not on the line, then ther…
If there is a linen a point that is not on the line, then ther…
a. To every pair of points there corresponds a unique positive…
Postulate
Through any two points there exists exactly one line, Through…
Parallel Postulate
If there is a linen a point that is not on the line, then ther…
Intersection of lines
Intersection of planes
Three non collinear points determine a…
Ruler Postulate
If two distinct lines intersect, they intersect at exactly one…
If two distinct planes intersect, then they intersect in exact…
Through any three non collinear points, there is exactly one p…
Every point of a line can be placed in correspondence with a r…
Intersection of lines
If two distinct lines intersect, they intersect at exactly one…
Intersection of planes
If two distinct planes intersect, then they intersect in exact…
Postulate 5
Postulate 6
Postulate 7
Postulate 8
Through any 2 distinct points there exists exactly one line.
A line contains at least 2 points.
If 2 lines intersect, then their intersection is exactly one p…
Through any 3 noncollinear points there exists one plane
Postulate 5
Through any 2 distinct points there exists exactly one line.
Postulate 6
A line contains at least 2 points.