Study sets matching "postulates"
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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
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…
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
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…
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
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…
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
Two points determine a unique straight line.
Three noncollinear points determine a unique plane.
The Ruler Postulate: (a) To every point on a line, there corre…
The Protractor Postulate: (a) The rays in a half rotation (180…
Postulate 1
Two points determine a unique straight line.
Postulate 2
Three noncollinear points determine a unique plane.
Ruler Postulate
Segment addition postulate
Protractor postulate
Angle Addition Postulate
the point on a line can be matched one to one with real number…
if B is between A and AC, then AB+BC=AC, If AB+BC=AC, then B i…
consider OB and point A on one side of OB. the rays of the for…
if P is in the interior of <RST, then m<RST=m<RSP+m<PST
Ruler Postulate
the point on a line can be matched one to one with real number…
Segment addition postulate
if B is between A and AC, then AB+BC=AC, If AB+BC=AC, then B i…
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.
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, th…
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…
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…
Through two distinct points, there is e…
The measure of any line segment is a un…
If X is a point of segment AB and A-X-B…
If two lines intersect, they intersect…
Postulate 1
Postulate 2: Ruler Postulate
Postulate 3: Segment-Addition Postulate
Postulate 4
Through two distinct points, there is e…
Postulate 1
The measure of any line segment is a un…
Postulate 2: Ruler Postulate
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
through any two given points there is one line
If two distinct lines intersect, they intersect in exactly one…
If two distinct planes intersect, they intersect in exactly on…
Through any three noncollinear points there is exactly one pla…
Postulate 1-1
through any two given points there is one line
Postulate 1-2
If two distinct lines intersect, they intersect in exactly one…
Side-Side-Side Congruence Postulate (SS…
Side-Angle-Side Congruence Postulate (S…
Hypotenuse-Leg Congruence Theorem (HL)
Angle-Side-Angle Congruence Postulate (…
- If three sides of one triangle are congruent to three sides…
- If two sides and the included angle of one triangle are cong…
- If the hypotenuse and a leg of a right triangle are congruen…
- If two angles and the included side of one triangle are cong…
Side-Side-Side Congruence Postulate (SS…
- If three sides of one triangle are congruent to three sides…
Side-Angle-Side Congruence Postulate (S…
- If two sides and the included angle of one triangle are cong…
Linear Pair Postulate
SSS Postulate
SAS Postulate
ASA Postulate
If two angles are a linear pair, then they are supplementary.
If all three sides of one triangle are congruent to all three…
If two sides and the included angle of one triangle are congru…
If two angles and the included side of one triangle are congru…
Linear Pair Postulate
If two angles are a linear pair, then they are supplementary.
SSS Postulate
If all three sides of one triangle are congruent to all three…
parallel postulate
perpendicular postulate
translation postulate
reflection postulate
if there is a line and a point not on the line, then there is…
If there is a line and a point not on the line, then there is…
a translation is a rigid motion
a reflection is a rigid motion
parallel postulate
if there is a line and a point not on the line, then there is…
perpendicular postulate
If there is a line and a point not on the line, then there is…
postulate 5
postulate 6
postulate 7
postulate 8
Through any two points there is exactly one line
A line contains at least 2 points
If two lines intersect, then their intersection is exactly one…
Through any 3 non-collinear points there exist exactly one pla…
postulate 5
Through any two points there is exactly one line
postulate 6
A line contains at least 2 points
3.1 Corresponding Angles Postulate
3.2 Slopes of Parallel Lines Postulate
3.3 Slopes of Perpendicular Lines Postu…
3.4 Converse of Corresponding Angles Po…
if two parallel lines are cut by a transversal, then each pair…
two non vertical lines have the same slope if and only if they…
two non vertical lines are perpendicular if and only if the pr…
if two lines are cut by a transversal so that corresponding an…
3.1 Corresponding Angles Postulate
if two parallel lines are cut by a transversal, then each pair…
3.2 Slopes of Parallel Lines Postulate
two non vertical lines have the same slope if and only if they…
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 #1
Postulate #2
Postulate #3
Postulate #4
RULER POSTULATE - On a number line, every point can be paired…
SEGMENT ADDITION POSTULATE -
PROTRACTOR POSTULATE -
ANGLE ADDITION POSTULATE -
Postulate #1
RULER POSTULATE - On a number line, every point can be paired…
Postulate #2
SEGMENT ADDITION POSTULATE -