Study sets matching "postulates"

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Study sets matching "postulates"

Postulates
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…
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 ra…
If P is in the interior of andgle RST, then the measure of an…
1.1 Ruler Postulate
The points on a line can be matched one to one with the real…
1.2 Segment Addition Postulate
If B is between A and C, then AB + BC = AC.... If AB + BC =AC, t…
48 terms
Postulates
Intersection of lines
Intersection of planes
Three non collinear points determine a…
Ruler Postulate
If two distinct lines intersect, they intersect at exactly on…
If two distinct planes intersect, then they intersect in exac…
Through any three non collinear points, there is exactly one…
Every point of a line can be placed in correspondence with a…
Intersection of lines
If two distinct lines intersect, they intersect at exactly on…
Intersection of planes
If two distinct planes intersect, then they intersect in exac…
9 terms
Postulates
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
Postulates
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 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 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 i…
Segment Addition Postulate (Postulate 2)
If B is between A and C, then AB+BC=AC.
Postulates
Ruler Postulate
Protractor Postulate
Linear Pair Postulate
Segment Addition Postulate
...
...
...
Ruler Postulate
Protractor Postulate
...
5 terms
Postulates
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…
15 terms
Postulates
Through two distinct points, there is…
The measure of any line segment is a u…
If X is a point of segment AB and A-X-…
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…
Postulate 1
The measure of any line segment is a u…
Postulate 2: Ruler Postulate
9 terms
Postulates
Segment Addition Postulate
Angle Addition Postulate
Two Point Postulate
Line-Point Postulate
If C is between A and B, then AC+BC=AC.
If ray B is a segment bisector of ∠ABC, then m∠AOB + m∠BOC =…
Through any two points there exists exactly 1 line
A line contains at least 2 points
Segment Addition Postulate
If C is between A and B, then AC+BC=AC.
Angle Addition Postulate
If ray B is a segment bisector of ∠ABC, then m∠AOB + m∠BOC =…
10 terms
Postulates
3.1 Corresponding Angles Postulate
3.2 Slopes of Parallel Lines Postulate
3.3 Slopes of Perpendicular Lines Post…
3.4 Converse of Corresponding Angles P…
if two parallel lines are cut by a transversal, then each pai…
two non vertical lines have the same slope if and only if the…
two non vertical lines are perpendicular if and only if the p…
if two lines are cut by a transversal so that corresponding a…
3.1 Corresponding Angles Postulate
if two parallel lines are cut by a transversal, then each pai…
3.2 Slopes of Parallel Lines Postulate
two non vertical lines have the same slope if and only if the…
postulates
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 on…
Through any 3 non-collinear points there exist exactly one pl…
postulate 5
Through any two points there is exactly one line
postulate 6
A line contains at least 2 points
POSTULATES
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 on…
If two distinct planes intersect, they intersect in exactly o…
Through any three noncollinear points there is exactly one pl…
Postulate 1-1
through any two given points there is one line
Postulate 1-2
If two distinct lines intersect, they intersect in exactly on…
14 terms
Postulates
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 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 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 i…
Segment Addition Postulate (Postulate 2)
If B is between A and C, then AB+BC=AC.
7 terms
postulates
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 their intersection is exactly on…
Through any three noncollinear points, there exists exactly o…
two point postulate
Through any two points, there exists exactly one line.
line-point postulate
A line contains at least two points.
9 terms
Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
1) Scale- can match points on line with numbers... 2) Distance b…
If B is between A and C then AB+BC=AC
1) Scale... 2) Angle measure
1) If D is in the interior of angle ABC, then the measure of…
Ruler Postulate
1) Scale- can match points on line with numbers... 2) Distance b…
Segment Addition Postulate
If B is between A and C then AB+BC=AC
14 terms
Postulates
Distance Postulate
Ruler Postulate
Ruler Placement Postulate
The Line Postulate
To every pair of different points there corresponds a unique…
The points of a line can be placed in correspondence with the…
Given two points P and Q of a line, the coordinate system can…
For every two points there is exactly one line that contains…
Distance Postulate
To every pair of different points there corresponds a unique…
Ruler Postulate
The points of a line can be placed in correspondence with the…
8 terms
Postulates
Postulate 1
Postulate 2
Postulate 3
Postulate 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 non collinear points there is exactly one p…
Postulate 1
Through any two points there is exactly one line
Postulate 2
If two distinct lines intersect, then they intersect in exact…
Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Two points on a line can be paired with real numbers... (A=0,B=1…
AB+BC=AC
You can pair rays with real #s... (if OP=x and OQ=y then m<POQ=I…
exactly like segment addition postulate
Ruler Postulate
Two points on a line can be paired with real numbers... (A=0,B=1…
Segment Addition Postulate
AB+BC=AC
7 terms
Postulates
2.1
2.2
2.3
2.4
Through any two points, there is exactly one line.
Three noncollinear points are contained in one and only one p…
A line contains at least two points.
Every plane contains at least three noncollinear points.
2.1
Through any two points, there is exactly one line.
2.2
Three noncollinear points are contained in one and only one p…
postulates
ruler postulate
protracture postulate
Angle addition postulate
segment addition postulate
Ruler Postulate Summary. On a number line, every point can be…
The Protractor Postulate. Given line AB and a point O on line…
The angle addition postulate states that if B is in the inter…
The segment addition postulate is a fairly obvious-seeming po…
ruler postulate
Ruler Postulate Summary. On a number line, every point can be…
protracture postulate
The Protractor Postulate. Given line AB and a point O on line…
7 terms
Postulates
through any two points
through any three noncollinear points
if two points lie on a plane
the intersection of two lines
there is exactly one line
there is exactly one plane
then the line containing those points is also on the plane
is exactly one point
through any two points
there is exactly one line
through any three noncollinear points
there is exactly one plane
16 terms
Postulates
postulates
Angle Addition Postulate
Linear Pair Postulate
Segment Addition Postulate
Rules that are accepted without proof
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
If two angles form a linear pair, then they are supplementary
If E is between A and C, then AE + EC = AC
postulates
Rules that are accepted without proof
Angle Addition Postulate
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
8 terms
Postulates
Ruler Postulate
Protractor Postulate
Angle Addition Postulate
Segment Addition Postulate
The ruler postulate tells us how to find the distance between…
Given line AB and a point O on line AB. Consider rays OA and…
The angle addition postulate states that if B is in the inter…
The segment addition postulate is a fairly obvious-seeming po…
Ruler Postulate
The ruler postulate tells us how to find the distance between…
Protractor Postulate
Given line AB and a point O on line AB. Consider rays OA and…
Postulates
postulate 1
postulate 2
postulate 3
postulate 4
through any two points there is exactly one line.
through any three non-collinear points there is exactly one p…
a line contains at least two points
a plane contains at least three non-collinear points.
postulate 1
through any two points there is exactly one line.
postulate 2
through any three non-collinear points there is exactly one p…
Postulates
Corresponding angles theorem
Alternate interior angles theorem
Alternate exterior angles
Same side interior angles theorem
If two lines are cut by a transveral then the pairs if corr a…
If parallel then alt int angles congruent
If parallel cut by a transversal then alt ext angles congruent
If parallel same side interior angles supp
Corresponding angles theorem
If two lines are cut by a transveral then the pairs if corr a…
Alternate interior angles theorem
If parallel then alt int angles congruent
Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
On a number line, every point can be paired with a number and…
The distance from one endpoint to the other is the sum of the…
Given line AB and a point O on line AB. Consider rays OA and…
The measure of the larger angle is the sum of the measures of…
Ruler Postulate
On a number line, every point can be paired with a number and…
Segment Addition Postulate
The distance from one endpoint to the other is the sum of the…
7 terms
Postulates
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 their intersection is exactly on…
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
Postulates
Properties of Equality
Addition property of equality
Subtraction property of equality
Multiplication property of equality
Let a, b, and c be real numbers
If a = b, then a + c = b + c
If a = b, then a - c = b - c
If a=b, then ac= bc
Properties of Equality
Let a, b, and c be real numbers
Addition property of equality
If a = b, then a + c = b + c
12 terms
postulates
ruler postulate
segment postulate
Protractor postulate
angle addition postulate
|b-a|
st+tu=su
mpas < 5
M< ABD + M<DBC = M<ABC
ruler postulate
|b-a|
segment postulate
st+tu=su
Postulates
Postulate 1.1
Postulate 1.2
Postulate 1.3
Postulate 1.4
Between 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 noncollinear there is exactly one plane.
Postulate 1.1
Between any two points there is exactly one line.
Postulate 1.2
If two distinct lines intersect, then they intersect in exact…
13 terms
Postulates
postulate 2
Midpoint of a segment
Angle Bisector
Bisector of a segment
segment addition postulate... - if 'R' is between 'S' and 'T', t…
A point the divides a segment into 2 congruent segments
A RAY that splits an angle into 2 congruent angles
a line, segment, ray or plane that intersects a segment at it…
postulate 2
segment addition postulate... - if 'R' is between 'S' and 'T', t…
Midpoint of a segment
A point the divides a segment into 2 congruent segments
Postulates
Two Point Postulate
Line Point Postulate
Line Intersection Postulate
3 Point Postulate
Through any 2 points there exists exactly 1 line.
A line contains at least two points.
If two lines intersect, then there intersection is exactly 1…
Through any 3 noncollinear points, there exists exactly one p…
Two Point Postulate
Through any 2 points there exists exactly 1 line.
Line Point Postulate
A line contains at least two points.
5 terms
Postulates
Through any two points there is exactl…
Through any three non collinear points…
If two points lie in a plane then the…
If two lines intersect they intersect…
One Line
One Plane... (ignore ABC in corner)
Plane
One Point
Through any two points there is exactl…
One Line
Through any three non collinear points…
One Plane... (ignore ABC in corner)
10 terms
Postulates
Ruler Postulate
Segment Addition Postulate
Protractor
Angle Addition Postulate
1) the points on a line can be paired with the real numbers i…
If B is between A and C then AB+AC= AC
Angle rays can be paired with degrees on a protractor ... a. fro…
If point B lies in the interior of angle COA then COB+BOC=COA
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+AC= AC
postulates
postulate
postulate 1
postulate 2
postulate 3
something we assume to be true
through any two points there is exactly one line
if two distinct lines intersect then they intersect in exactl…
if two planes intersect, they intersect in one line
postulate
something we assume to be true
postulate 1
through any two points there is exactly one line
Postulates
Postulate 1
Postulate 2
Postulate 3
Postulate 4
points on a line can be matched one to one with real numbers
if B is between A and C, then AB+BC= AC
the measure of aoc is equal to the absolute value of the dist…
if b is the interior of coa, then the measure of coa= the mea…
Postulate 1
points on a line can be matched one to one with real numbers
Postulate 2
if B is between A and C, then AB+BC= AC
Postulates
Postulate 2.1
Postulate 2
Postulate 3
Postulate 4
Through any 2 points there is exactly one line
Through any three non collinear points there is exactly one p…
A line contains at least 2 points
A plane contains at least three noncolinear points
Postulate 2.1
Through any 2 points there is exactly one line
Postulate 2
Through any three non collinear points there is exactly one p…
POSTULATES
Through any two points, there exists e…
A line contains at least two points.
If two lines intersect, then their int…
Through any three noncollinear points,…
Two Point Postulate
Line-Point Postulate
Line Intersection Postulate
Three Point Postulate
Through any two points, there exists e…
Two Point Postulate
A line contains at least two points.
Line-Point Postulate
8 terms
Postulates
corresponding angles
alternate interior angles
alternate exterior angles
same side interior angles
theorem: if 2 parallel lines are cut by a transversal then th…
theorem: if two parallel lines are cut by a transversal then…
theorem: if 2 parallel lines are cut by a transversal then ea…
theorem: if two parallel lines are cut by a transversal then…
corresponding angles
theorem: if 2 parallel lines are cut by a transversal then th…
alternate interior angles
theorem: if two parallel lines are cut by a transversal then…
Postulates
Ruler postulate
protractor postulate
Angle addition postulate
Segment addition postulate
every point can be paired with a number
rays that have the same end point can be traced with a number…
two angles add to make one
two segments add to make one.
Ruler postulate
every point can be paired with a number
protractor postulate
rays that have the same end point can be traced with a number…
Postulates
Points, Line
Noncollinear, plane
Plane
lines, point
Through any two _____, there exists exactly one ______.
Through any three _______ points, there is exactly one ______
If two points lie in a ______, then the entire line containin…
If If two ______ intersect, then their intersection is exactl…
Points, Line
Through any two _____, there exists exactly one ______.
Noncollinear, plane
Through any three _______ points, there is exactly one ______
36 terms
Postulates
Ruler Postulate
Segment Addition Postulate
Distance Formula
Protractor Postulate
the points on a line can be matched one to one with real numb…
B is between A and C iff A B + B C = A C
The rays in a half rotation can be numbered from 0 to 180. Th…
Ruler Postulate
the points on a line can be matched one to one with real numb…
Segment Addition Postulate
B is between A and C iff A B + B C = A C
Postulates
1-1-1... Points, Lines, and Planes
1-1-2... Points, Lines, and Planes
1-1-3... Points, Lines, and Planes
1-1-4... Intersection of lines and planes
Through any two points there is exactly one line
Through any three noncollinear points there is exactly one pl…
If two points lie in a plane, then the line containing those…
if two lines intersect, then they intersect in exactly one po…
1-1-1... Points, Lines, and Planes
Through any two points there is exactly one line
1-1-2... Points, Lines, and Planes
Through any three noncollinear points there is exactly one pl…
postulates
alternate interior angles theorem
alternate exterior angles theorem
corresponding angles theorem
vertical angles theorem
alternate interior angles theorem
alternate exterior angles theorem
15 terms
Postulates
What is a postulate?
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
A true statement that does not require explanation
If one point is 0 and one is 1, you can assume a unit length…
If A, B, and C are collinear, then AB+BC=AC
On line AB in a given plane, choose any point O between A and…
What is a postulate?
A true statement that does not require explanation
Ruler Postulate
If one point is 0 and one is 1, you can assume a unit length…
Postulates
2.1
2.2
2.3
2.4
Through any two points is exactly one line.
Through any three non collinear points, there is exactly one…
A line contains at least two points.
A plane contains at least three non collinear points
2.1
Through any two points is exactly one line.
2.2
Through any three non collinear points, there is exactly one…
8 terms
Postulates
P5
P6
P7
P8
Through only two points,there is exactly one line. ... If you h…
A line contains at least two points. If you have a line, then…
If two lines intersect, then their intersection is exactly on…
Through any three non-collider points, there is exactly one p…
P5
Through only two points,there is exactly one line. ... If you h…
P6
A line contains at least two points. If you have a line, then…
8 terms
Postulates
3-11
Corollary 1
Corollary 2
Corollary 3
The sum of the measures of the angles of a triangle is 180
If two angles of one triangle are congruent to two angles of…
Each angle of an equiangular triangle has measure of 60
In a triangle, there can be at most one right angle or obtuse…
3-11
The sum of the measures of the angles of a triangle is 180
Corollary 1
If two angles of one triangle are congruent to two angles of…
Postulates
two point postulate
three point postulate
line point postulate
plane-point postulate
through any two points there is exactly one line
through any three noncollinear points there is exactly one pl…
on any line there are at least two points
on any plane there are at least 3 noncollinear points
two point postulate
through any two points there is exactly one line
three point postulate
through any three noncollinear points there is exactly one pl…
5 terms
Postulates
Side-Side-Side Congruence Postulate (S…
Side-Angle-Side Congruence Postulate (…
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 con…
- If the hypotenuse and a leg of a right triangle are congrue…
- If two angles and the included side of one triangle are con…
Side-Side-Side Congruence Postulate (S…
- If three sides of one triangle are congruent to three sides…
Side-Angle-Side Congruence Postulate (…
- If two sides and the included angle of one triangle are con…
Postulates
Postulate
Postulate 1: Ruler Postulate
Postulate 2: Segment Addition Postulate
Postulate 3: Protractor Postulate
A statement that is accepted as true without proof.
The points on a line can be put into a one-to-one corresponde…
If B is between A and C, then AB+BC=AC
The measurement of an angle between two rays can be designate…
Postulate
A statement that is accepted as true without proof.
Postulate 1: Ruler Postulate
The points on a line can be put into a one-to-one corresponde…
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