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…
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…
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.
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
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
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.
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.
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.
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
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 exactl…
If two distinct planes intersect, then they intersect in exact…
Through any three noncollinear points there is exactly one pla…
Postulate 1-1
Through any two points there is exactly one line.
Postulate 1-2
If two distinct lines intersect, then they intersect in exactl…
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The distance between any 2 points on a number line is the abso…
If 3 points, A, B, and C are collinear and B is between A and…
The measure of <AOB, which can be written as m<AOB, is equal t…
If P is in the interior of <RST, then the measure of <RST is e…
Ruler Postulate
The distance between any 2 points on a number line is the abso…
Segment Addition Postulate
If 3 points, A, B, and C are collinear and B is between A and…
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…
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.
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
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.
Given AB and a point O on AB, all rays that can be drawn from…
If S is in the interior of angle PQR, then the measure of angl…
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.
Transitive Postulate
Substitution Postulate
Partition Postulate
Reflexive Postulate
Things equal to the same or equal things are equal to each oth…
A quantity may be substituted for its equal in any expression…
The whole equals the sum of its parts
Any quantity equals itself b=b
Transitive Postulate
Things equal to the same or equal things are equal to each oth…
Substitution Postulate
A quantity may be substituted for its equal in any expression…
supplement theorem
complement theorem
segment addition postulate
angle addition postulate
If 2 angles are a linear pair, then they are supplementary
if non common sides of 2 adjacent angles form a right angle, t…
if we are given two points on a line segment, A and C, a third…
If point B lies in the interior of angle AOC, then. . The post…
supplement theorem
If 2 angles are a linear pair, then they are supplementary
complement theorem
if non common sides of 2 adjacent angles form a right angle, t…
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.
Postulate 1
Postulate 2
The Ruler Postulate
Corollary to Ruler Postulate
Two points determine a line
Three noncollinear points determine a plane
The points on a line can be numbered so that positive number d…
A line segment has exactly ONE midpoint
Postulate 1
Two points determine a line
Postulate 2
Three noncollinear points determine a plane
Postulate 1
Postulate 2
Postulate 3
Postulate 4
To draw a straight line from any point to any point
To produce a finite straight line continuously in a straight l…
To describe a circle with any center and radius
That all right angles equal one another
Postulate 1
To draw a straight line from any point to any point
Postulate 2
To produce a finite straight line continuously in a straight l…
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