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
Line
Plane
Line
Point
Through any two points there is exactly one _______.
Through any three noncollinear points, there is exactly one __…
If two points lie in a plane, then the _____ containing those…
If two lines intersect, then they intersect in exactly one ___…
Line
Through any two points there is exactly one _______.
Plane
Through any three noncollinear points, there is 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
2
3
4
1. A straight line segment can be drawn joining any two points.
Any straight line segment can be extended indefinitely in a st…
Given any straight line segment, a circle can be drawn having…
All right angles are congruent.
1
1. A straight line segment can be drawn joining any two points.
2
Any straight line segment can be extended indefinitely in a st…
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
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, t…
Consider line OB and a point A on one side of line OB. The ray…
If P is in the interior of <RST, then the measure of <RST is e…
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, t…
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 (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
1
2
3
diffusion
All organisms are made up of one or more cells.
Cells are basic units of structure and function in all organis…
All cells come from cells that already exist.
The movement of molecules from an area high concentration to a…
1
All organisms are made up of one or more cells.
2
Cells are basic units of structure and function in all organis…
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
2.1 - Points, Lines, and Planes Postula…
2.2 - Points, Lines, and Planes Postula…
2.3 - Points, Lines, and Planes Postula…
2.4 - Points, Lines, and Planes Postula…
Through any two points, there is exactly one line.
Through any three noncollinear points, there is exactly one pl…
A line contains at least two points.
A plane contains at least three noncollinear points.
2.1 - Points, Lines, and Planes Postula…
Through any two points, there is exactly one line.
2.2 - Points, Lines, and Planes Postula…
Through any three noncollinear points, there is exactly one pl…
2.1 - Through any two points, there is…
2.2 - Through any three noncollinear po…
2.3 - A line contains at least two poin…
2.4 - A plane contains at least three n…
Line n is the only line through points P and R
Plane P is the only plane through non collinear points A,B,C
Line n contains points P, Q and R
Plane K contains noncollinear points L,B,C and E
2.1 - Through any two points, there is…
Line n is the only line through points P and R
2.2 - Through any three noncollinear po…
Plane P is the only plane through non collinear points A,B,C
Dimension Postulate
Straight Line Postulate
Plane Existence Postulate
Line intersect plane
A line contains at least two points, a plane contains at least…
Through any 2 points there is exactly 1 line
Through any 3 points, there is at least 1 plane, and through a…
If two lines intersect, then exactly one plane contains them.
Dimension Postulate
A line contains at least two points, a plane contains at least…
Straight Line Postulate
Through any 2 points there is exactly 1 line
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Through two given points one and only one straight line can be…
A straight line is the shortest distance between 2 points
A straight line may be extended indefinitely or it may be limi…
A circle or part of one may be drawn about any point as the ce…
Postulate 1
Through two given points one and only one straight line can be…
Postulate 2
A straight line is the shortest distance between 2 points
Two Point Postulate
Line Point Postulate
Line Intersection Postulate
Three Point Postulate
Through any two points there is exactly one line.
A line contains at least 2 points.
Of two lines intersect, their intersection is at exactly one p…
Through any 3 noncollinear points there is exactly one plane.
Two Point Postulate
Through any two points there is exactly one line.
Line Point Postulate
A line contains at least 2 points.
ruler postulate (1.1)
segment addition postulate (1.2)
protractor postulate (1.3)
angle addition postulate (1.4)
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 measur…
the measure of AOB plus the measure of BOC equals the measure…
ruler postulate (1.1)
segment addition postulate (1.2)
if point B is between A and C on the same line, AB+BC=AC
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.
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
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.
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…
Two point postulate
Line-point postulate
Line intersection postulate
Three point postulate
Through any two points, their exists exactly one line.
A line that contains exactly two points.
If two lines intersect, then their intersection is at exactly…
Through any three non-collinear points, there exists exactly o…
Two point postulate
Through any two points, their exists exactly one line.
Line-point postulate
A line that contains exactly two points.
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.
Segment Addition Postulate
Angle Addition Postulate
right angle
obtuse angle
If B is between A and C, then AB + BC = AC
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
90 degrees
An angle that measures more than 90 degrees but less than 180…
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 m<RSP + m<PST = m<RST