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Study sets matching "vocabulary geometry postulates"

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Study sets matching "vocabulary geometry postulates"

83 terms
Geometry Postulates, Theorems, and Vocabulary
Postulate - 2.1
Postulate - 2.2
Postulate - 2.3
Postulate - 2.4
Through any two points, there 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
Postulate - 2.1
Through any two points, there is exactly one line
Postulate - 2.2
Through any three non collinear points, there is exactly one…
15 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
16 terms
Geometry Theorems, Postulates, and Vocabulary.
Reflexive
Symmetric
Transitive
Segment Addition Postulate
Line segment AB is congruent to line segment CD
If line segment AB is congruent to line segment CD, then line…
If line segment AB is congruent to line segment CD, and line…
Two segments of a line added together to get the length of th…
Reflexive
Line segment AB is congruent to line segment CD
Symmetric
If line segment AB is congruent to line segment CD, then line…
22 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
21 terms
Geometry Vocabulary/Postulates/Theroms
Congruent segments:
Congruent angles:
Midpoint:
Segment bisector:
segments whose lengths are equal
angles whose measures are equal
a point that divides a segment into 2 congruent segments
line (or part of a line) that intersects the segment at it's…
Congruent segments:
segments whose lengths are equal
Congruent angles:
angles whose measures are equal
54 terms
Geometry - Chapter 1 Vocabulary and Postulates
point
line
plane
collinear
a location; has no length, no width, no thickness
extends in one dimension; has length but no width and no thic…
A flat surface that has length and width but no thickness
Points that lie on the same line.
point
a location; has no length, no width, no thickness
line
extends in one dimension; has length but no width and no thic…
16 terms
Geometry Vocabulary/Postulates/Theorems
Congruent Segments
Congruent Angles
Midpoint
Segment Bisector
Segments whose lengths are equal.
Angles whose measures are equal.
Point that divides a segment into 2 congruent segments.
Line (or part of a line) that intersects the segment at its m…
Congruent Segments
Segments whose lengths are equal.
Congruent Angles
Angles whose measures are equal.
10 terms
Geometry POSTULATES vocabulary
postulate/axiom
postulate 1-1
postulate 1-2
postulate 1-3
an accepted statement of fact (basic building blocks of a log…
though any 2 there is exactly one line
if 2 district lines intersect then they intersect in exactly…
if 2 distinct planes intersect then they intersect in exactly…
postulate/axiom
an accepted statement of fact (basic building blocks of a log…
postulate 1-1
though any 2 there is exactly one line
15 terms
Geometry Pre AP postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
10 terms
Geometry Postulates Chapter 1
Postulate 1-1 Through any two points,…
Postulate 1-2 If two distinct lines in…
Postulate 1-3 If two distinct _______i…
Postulate 1-4 Through any ________poin…
line
point
planes
three noncollinear
Postulate 1-1 Through any two points,…
line
Postulate 1-2 If two distinct lines in…
point
19 terms
Geometry Lines Postulates
collinear points
coplanar
parallel lines
parallel planes
Points that lie on the same line.
points that lie on the same plane
coplanar lines that do not intersect
planes that do not intersect.
collinear points
Points that lie on the same line.
coplanar
points that lie on the same plane
53 terms
Geometry - Chapter 1 Vocabulary and Postulates
point
line
plane
collinear
a location; has no length, no width, no thickness
extends in one dimension; has length but no width and no thic…
A flat surface that has length and width but no thickness
Points that lie on the same line.
point
a location; has no length, no width, no thickness
line
extends in one dimension; has length but no width and no thic…
48 terms
Geometry Vocabulary/Postulates
Congruent
Suplementary
Complementary
Linear Pair
Having the exact sam measurements
Two angles that add to 180 degrees
Two angles that add to 90 degrees
Another word for supplementary
Congruent
Having the exact sam measurements
Suplementary
Two angles that add to 180 degrees
14 terms
Geometry Postulates and Theorums
Same Side Interior Angles Postulate
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then the same…
If a transversal intersects two parallel lines, then alternat…
If a transversal intersects two parallel lines, then correspo…
If a transversal intersects two parallel lines, then alternat…
Same Side Interior Angles Postulate
If a transversal intersects two parallel lines, then the same…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, then alternat…
5 terms
Geometry Postulates
Postulate 1
Postulate 2
The Ruler Postulate (Postulate 3)
The Protractor Postulate (Postulate 4)
Two points determine a unique straight line.
Three noncollinear points determine a unique plane
a. To every point on a line there corresponds exactly one rea…
a. The rays in a half rotation (180 degrees) can be numbered…
Postulate 1
Two points determine a unique straight line.
Postulate 2
Three noncollinear points determine a unique plane
16 terms
Geometry Chapter 3 Vocabulary/Theorems/Postulates
Transversal
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
a line that intersects two or more coplanar lines at differen…
are inside the parallel lines, and on opposite (alternate) si…
lie on the same side of the transversal and on the interior o…
are two nonadjacent angles that lie on the ... same side of the…
Transversal
a line that intersects two or more coplanar lines at differen…
Alternate Interior Angles
are inside the parallel lines, and on opposite (alternate) si…
22 terms
Geometry Postulates, Theorems, and Vocabulary
collinear points
coplanar points
opposite rays
betweeness of points
lie on the same line
are contained on the same plane
share an endpoint and are collinear
AB + BC = AC
collinear points
lie on the same line
coplanar points
are contained on the same plane
14 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
99 terms
Geometry Vocabulary, Properties, Postulates, and Theroms
Congruent Segments
Congruent Angles
Midpoint
Segment Bisector
line segments that have the same length.
angles that have the same length.
a point that divides the segment into congruent segments.
a point, ray, line, line segment, or plane that intersects th…
Congruent Segments
line segments that have the same length.
Congruent Angles
angles that have the same length.
14 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
14 terms
Geometry: Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
If you take a line segment and divide it into equal segments…
If B is between A and C, then AB + BC = AC (the parts add up…
On line AB in a given plane, chose any point O between A and…
If point B lies in the interior of /_AOC, then the m/_AOB + m…
Ruler Postulate
If you take a line segment and divide it into equal segments…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC (the parts add up…
14 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
16 terms
Geometry 2 Postulates and Vocabulary
Point
Line
Plane
Segment
Names a location and has no size. It is represented by a dot
A straight path that has no thickness and extends forever
A flat surface that has no thickness and extends forever
The part of a line consisting of two points and all points be…
Point
Names a location and has no size. It is represented by a dot
Line
A straight path that has no thickness and extends forever
20 terms
Geometry Definitions, Postulates and Theorems
Definition of Midpoint
Vertical Angles Theorem
Reflexive property
Symmetric property
(Not def. Of congruent segments)
∠CXE=∠CXE
GH = KL so ... KL = GH
Definition of Midpoint
(Not def. Of congruent segments)
Vertical Angles Theorem
13 terms
geometry postulates and theroms
points existence postulate
straight line postulate
plane postulate
flat plane postulate
space contains at least four noncoplanar points. every plane…
two points are contained in one and only one line (two points…
three noncollinear points are contained in one and only one p…
if two points are in a plane, then the line containing the po…
points existence postulate
space contains at least four noncoplanar points. every plane…
straight line postulate
two points are contained in one and only one line (two points…
17 terms
Geometry Vocabulary/Postulates/Theorems
Congruent Segments
Congruent Angles
Midpoint
Segment bisector
Segments whose lengths are equal
Angles whose measures are equal
Point that divides a segment into 2 congruent segments
Line (or part of a line) that intersects the segments at its…
Congruent Segments
Segments whose lengths are equal
Congruent Angles
Angles whose measures are equal
66 terms
Geometry Theorems, Postulates, and Vocabulary
Non-Vertical Lines Parallel Line Theorem
Non-Vertical Lines Perpendicular Line…
Segment Addition Postulate
Angle Addition Postulate
Two non-vertical are parallel lines if and only if their slop…
Two non-vertical lines are perpendicular if and only if the p…
Let A, B, & C, be collinear points. If B is between A & C, th…
If Point S is in the interior of Angle PQR, then m∠PQS + m∠SQ…
Non-Vertical Lines Parallel Line Theorem
Two non-vertical are parallel lines if and only if their slop…
Non-Vertical Lines Perpendicular Line…
Two non-vertical lines are perpendicular if and only if the p…
29 terms
Geometry Midterm Vocabulary/Postulates
Inductive Reasoning
Conjecture
Counterexample
Point
Reasoning based on patterns you observe
A conclusion you reach using inductive reasoning
An example for which the conjecture is incorrect
A location
Inductive Reasoning
Reasoning based on patterns you observe
Conjecture
A conclusion you reach using inductive reasoning
29 terms
Geometry Vocabulary and postulates
Inductive reasoning
Conjecture
Counter example
Point
A form of reasoning in which a conclusion is reached on a pat…
Appears to be true but isn't proven
Disproves a statement or proposition
A location, it has no size or width and is marked as a dot
Inductive reasoning
A form of reasoning in which a conclusion is reached on a pat…
Conjecture
Appears to be true but isn't proven
22 terms
Geometry Vocabulary/Postulates/Theorems
Congruent Segments
Congruent Angles
Midpoint
Segment bisector
Segments whose length are equal
Angles whose measures are equal
Point that divides a segment into 2 congruent segments
Line (or part of a line) that intersects the segment at its m…
Congruent Segments
Segments whose length are equal
Congruent Angles
Angles whose measures are equal
7 terms
Geometry - Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
accepted rule that a ruler can find a distance
if B is between A and C, then AB + BC = AC
the measure of an angle is equal to the absolute value of the…
if P is in the interior of the angle RST, then the measure of…
Ruler Postulate
accepted rule that a ruler can find a distance
Segment Addition Postulate
if B is between A and C, then AB + BC = AC
73 terms
Geometry-vocabulary, formulas, and postulates
Equilateral triangle
Equiangular triangle
Acute triangle
Scalene triangle
Triangle with all sides congruent
Triangle with all angles congruent
Triangle in which all sides are less than 90 degrees
Triangle with no two congruent sides
Equilateral triangle
Triangle with all sides congruent
Equiangular triangle
Triangle with all angles congruent
24 terms
Geometry Theorems, Postulates, and Vocabulary.
Reflexive
Symmetric
Transitive
Segment Addition Postulate
Line segment AB is congruent to line segment CD
If line segment AB is congruent to line segment CD, then line…
If line segment AB is congruent to line segment CD, and line…
Two segments of a line added together to get the length of th…
Reflexive
Line segment AB is congruent to line segment CD
Symmetric
If line segment AB is congruent to line segment CD, then line…
61 terms
Geometry: Vocabulary, postulates, and theorems
Point
Line
Plane
Space
Dot, has no size, named using capital letters, just posistion
Represented with arrowheads, infinite, no thickness
No thickness, infinite in all directions
Set of all points
Point
Dot, has no size, named using capital letters, just posistion
Line
Represented with arrowheads, infinite, no thickness
15 terms
Geometry postulates
ruler postulate
Segment Addition Postulate (Seg. Add.…
Protractor Postulate
Angle Addition Postulate
1.)points must be put on a number line... 2.)the distance betwee…
if B is between A and C, then AB+BC=AC (page 12 in book)
used to find the measure of an angle... 1.) take the absolute va…
m<AOB + m<BOC = m< AOC
ruler postulate
1.)points must be put on a number line... 2.)the distance betwee…
Segment Addition Postulate (Seg. Add.…
if B is between A and C, then AB+BC=AC (page 12 in book)
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
28 terms
Geometry Postulates/Axioms
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulates
Distance between two points A and B on a line can be found by…
If B is between AC, then AB + BC = AC
Think about protractor :)
If C is the interior angle of AOD, then ∠AOD = ∠AOC + ∠COD
Ruler Postulate
Distance between two points A and B on a line can be found by…
Segment Addition Postulate
If B is between AC, then AB + BC = AC
22 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be matched one to one with real numb…
If B is between A & C, then AB + BC = AC
Consider Ray OB and a point A on one side of Ray OB. The rays…
If P is in the interior of <RST, then m<RST + m<RSP = m<PST
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A & C, then AB + BC = AC
Geometry Postulates
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points there is exactly one line.
If two lines intersect, then they intersect in exactly one po…
If two planes intersect, then they intersect in exactly one l…
Through any three noncollinear points there is exactly one pl…
Postulate 1-1
Through any two points there is exactly one line.
Postulate 1-2
If two lines intersect, then they intersect in exactly one po…
19 terms
Geometry Postulates & Theorems Vocabulary
If _______ lines are parallel to the _…
In a plane, if a line is perpendicular…
If 2 parallel lines are cut by a _____…
If 2 parallel lines are cut by a _____…
2; same; parallel
perpendicular
transversal; congruent; alternate exterior anglr postulate
transversal; supplementary; same-side exterior angle theorem
If _______ lines are parallel to the _…
2; same; parallel
In a plane, if a line is perpendicular…
perpendicular
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
10 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Given two points, there corresponds a unique positive number…
Given two rays, there corresponds a unique positive number ca…
Ruler Postulate
Given two points, there corresponds a unique positive number…
Segment Addition Postulate
11 terms
Geometry Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
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,…
Consider ray OB and a point A on one side of of ray OB. The r…
If P is in the interior of angle of RST, then the measure of…
Ruler Postulate
The points on a line can be matched one to one with the real…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC. If AB + BC = AC,…
8 terms
Geometry Postulates
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Through any two points there is exactly one line
If two lines intersect they intersect in exactly one point
If two planes intersect, they intersect in exactly one line
Through any three non-collinear points there exists exactly o…
Postulate 1
Through any two points there is exactly one line
Postulate 2
If two lines intersect they intersect in exactly one point
14 terms
Geometry Theorems/Definitions/Postulates
Linear Pairs are Supplementary.
Perpendicular Lines form right angles.
All right angles are congruent.
Supplements of congruent angles are co…
Right
Supplementary (Working with total of 4 angles)
Linear Pairs are Supplementary.
Perpendicular Lines form right angles.
9 terms
geometry postulates
Postulate 1- Ruler Postulate
Postulate 2- Segment Addition Postulate
Postulate 3
Postulate 4- Angle Addition Postulate
the points on a line can be paired with the real numbers in s…
ex. if B is between A and C then: AB+BC=AC
rays can be paired with the real numbers from 1-180
if a point lies in the interior of and angle, then you would…
Postulate 1- Ruler Postulate
the points on a line can be paired with the real numbers in s…
Postulate 2- Segment Addition Postulate
ex. if B is between A and C then: AB+BC=AC
Geometry-Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The points on a line can be match one to one with real number…
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
Consider a point A on one side of line OB. The rays of a form…
If P is in the interior of ∠RST, then m∠RSP+m∠PST=m∠RST.
Ruler Postulate
The points on a line can be match one to one with real number…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC. If AB+BC=AC, then B i…
8 terms
Geometry Postulates
Postulate(a statement that is accepted…
Postulate 2
Postulate 3, postulate 4
Postulate 5
The points on a line can be paired in a one-to-one correspond…
If B is between A and C, then AB+BC=AC
Please see the text book for diagram explanation
Through any two points there is exactly one line
Postulate(a statement that is accepted…
The points on a line can be paired in a one-to-one correspond…
Postulate 2
If B is between A and C, then AB+BC=AC
11 terms
Geometry Postulates
ruler postulate
segment addition postulate
protractor postulate
angle addition postulate
the points on a line can paired in a one-to-one correspondenc…
if B is between A and C, then AB + BC = AC
given a point X on line PR, consider rays XP and XR as well a…
if point D is in the interior of angle ABC, then m angleABD +…
ruler postulate
the points on a line can paired in a one-to-one correspondenc…
segment addition postulate
if B is between A and C, then AB + BC = AC
18 terms
Geometry Postulates
Postulate 1 - Ruler Postulate
Postulate 2 - Segment Addition Postulate
Postulate 3 - Protractor Postulate
Postulate 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 ... AND ... If AB + BC =…
<AOB is equal to the absolute value of the difference between…
If B is the interior of angle AOC, then the measure of angle…
Postulate 1 - Ruler Postulate
The points on a line can be matched one to one with the real…
Postulate 2 - Segment Addition Postulate
If B is between A and C, then AB + BC = AC ... AND ... If AB + BC =…
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