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Study sets matching "geometry postulates theorems postulates definitions"

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Study sets matching "geometry postulates theorems postulates definitions"

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.
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
38 terms
Geometry Theorems, Postulates, & Definitions
Segment Addition Postulate
Angle Addition Postulate
Definition of Midpoint & Bisector
Definition of Angle Bisector
If B is between A and C then the length of AC is equal to the…
If P is in the interior of ∠RST then the measure of ∠RST is t…
A bisector bisects a line segment at its midpoint which divid…
A ray that divides an angle into two adjacent angles that are…
Segment Addition Postulate
If B is between A and C then the length of AC is equal to the…
Angle Addition Postulate
If P is in the interior of ∠RST then the measure of ∠RST is t…
74 terms
Geometry Definitions, Postulates and Theorems
Complementary angles
Supplementary angles
Theorem
Vertical Angles
two angles whose measures have a sum of 90°
two angles who measures have a sum of 180°
a statement that can be proven
two angles formed by intersecting lines and facing in the opp…
Complementary angles
two angles whose measures have a sum of 90°
Supplementary angles
two angles who measures have a sum of 180°
121 terms
Geometry Postulates, Theorems, and Definitions
Segment Addition Postulate
Protractor Postulate
Parallel Lines
Skew Lines
AB + BC = AC
Says that you can measure any angle
two lines that don't intersect and are coplanar
two lines that don't intersect and aren't coplanar
Segment Addition Postulate
AB + BC = AC
Protractor Postulate
Says that you can measure any angle
25 terms
Geometry Definitions/Theorems/Postulates
Midpoint
Collinear
Straight Angles
Acute Angles
It is a midpoint if and only if it divides a segment into two…
3 or more points on the same line
The sides of a straight angle form a line
Acute angles are less than a right angle
Midpoint
It is a midpoint if and only if it divides a segment into two…
Collinear
3 or more points on the same line
50 terms
Theorems/Postulates/Definition Geometry
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
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+BC=AC
On line AB in a given plane, choose any point O between A and…
If point B lies in the interior of <AOC, the m<AOB a m<BOC =…
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+BC=AC
30 terms
Geometry: postulates, theorems, and definitions
Segment addition postulate
Angle addition postulate
Postulate 5
Postulate 6
If B is between A and C, then AB + BC = AC
If point B lies in the interior of <AOC, then m<AOB + m<BOC =…
A line contains at least two points; a plane contains at leas…
Through any two points there is exactly one line.
Segment addition postulate
If B is between A and C, then AB + BC = AC
Angle addition postulate
If point B lies in the interior of <AOC, then m<AOB + m<BOC =…
58 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
81 terms
Geometry Theorems/Postulates/Definitions
theorem
postulate
definition
geometry
a statement that can be proved
something we don't need to prove, uses past information to ba…
assigns a term to an object. are always reversible
to take a series of facts to put in a logical way to reach a…
theorem
a statement that can be proved
postulate
something we don't need to prove, uses past information to ba…
46 terms
Geometry Postulates, Theorems, and Definitions
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
if a=b, then a+c=b+c
if a=b, then a-c=b-c
if a=b, then ac=bc
if a=b AND c≠0, then a/c=b/c
addition property of equality
if a=b, then a+c=b+c
subtraction property of equality
if a=b, then a-c=b-c
63 terms
Geometry Theorems, Postulates, and Definitions
Parallel Lines
Perpendicular Lines
Skew Lines
Parallel Planes
Are coplanar lines and do not intersect.
Lines that intersect at 90 degree angles.
Lines that are not coplanar, not parallel, and do not interse…
Are planes that do not intersect.
Parallel Lines
Are coplanar lines and do not intersect.
Perpendicular Lines
Lines that intersect at 90 degree angles.
68 terms
Geometry Theorems, Definitions, and Postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
35 terms
Geometry Theorems, Definitions, and postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
63 terms
Geometry Theorems/Postulates/Definitions
theorem
postulate
definition
segment bisector
a statement that can be proved
something we don't need to prove, uses past information to ba…
assigns a term to an object. are always reversible
segment,ray,line, plane that divides a segment into two congr…
theorem
a statement that can be proved
postulate
something we don't need to prove, uses past information to ba…
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
175 terms
Geometry Definitions, Postulates and Theorems
Postulate 1
Postulate 2
Postulate 3
Postulate 4
Ruler Postulate: The points on a line can be paired with the…
Segment Addition Postulate: If B is between A and C, then AB…
Protractor Postulate: On line AB in a given plane, choose any…
Angle Addition Postulate: If point B lies in the interior of…
Postulate 1
Ruler Postulate: The points on a line can be paired with the…
Postulate 2
Segment Addition Postulate: If B is between A and C, then AB…
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
43 terms
Geometry Postulates, Theorems, and Definitions
postulate 2.1
postulate 2.2
postulate 2.3
postulate 2.4
through any two points, there is exactly one point
through any three points not on the same line, there is exact…
a line contains at least two points
a plane contains at least three points not on the same line... p…
postulate 2.1
through any two points, there is exactly one point
postulate 2.2
through any three points not on the same line, there is exact…
79 terms
Geometry Theorems, Postulates, and Definitions
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 paired with real numbers in such…
If B is between A and C, then AB+ BC= AC
If in <QOA, Ray OP lies inside of the angle, ... <QOP=<QOA-<POA
If point B lies on the interior of angle AOC, then angle AOB+…
Postulate 1 (Ruler Postulate)
The points on a line can be paired with real numbers in such…
Postulate 2 (Segment Addition Postulate)
If B is between A and C, then AB+ BC= AC
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
36 terms
Geometry Theorems, Definitions, and postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
40 terms
Geometry Postulates, theorems, and definitions
Segment adding post
Definition of midpoint
Vertical angles theorem
Angle adding postulate
AB+BC=AC
(Not def. Of congruent segments-cuz there is a midpt in the m…
∠QRT+ ∠TRS= ∠QRS
Segment adding post
AB+BC=AC
Definition of midpoint
(Not def. Of congruent segments-cuz there is a midpt in the m…
62 terms
Geometry Theorems/Postulates/Definitions
theorem
postulate
definition
geometry
a statement that can be proved
something we don't need to prove, uses past information to ba…
assigns a term to an object. are always reversible
to take a series of facts to put in a logical way to reach a…
theorem
a statement that can be proved
postulate
something we don't need to prove, uses past information to ba…
121 terms
Geometry Postulates, Theorems, and Definitions
Segment Addition Postulate
Protractor Postulate
Parallel Lines
Skew Lines
AB + BC = AC
Says that you can measure any angle
two lines that don't intersect and are coplanar
two lines that don't intersect and aren't coplanar
Segment Addition Postulate
AB + BC = AC
Protractor Postulate
Says that you can measure any angle
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
89 terms
Geometry Postulates, Theorems, and Definitions
Segment Addition Postulate
Protractor Postulate
Parallel Lines
Skew Lines
AB + BC = AC
Says that you can measure any angle
two lines that don't intersect and are coplanar
two lines that don't intersect and aren't coplanar
Segment Addition Postulate
AB + BC = AC
Protractor Postulate
Says that you can measure any angle
21 terms
Geometry Theorems, Definitions, and postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
58 terms
Geometry Theorems, postulates, and definitions
Inductive Reasoning
Conjecture
Counterexample
Segment addition postulate
looking for patterns and guessing what will happen next
Unproven statement based on previous facts
An example that proves a statement false
if B is between A and C then AB + BC= AC
Inductive Reasoning
looking for patterns and guessing what will happen next
Conjecture
Unproven statement based on previous facts
56 terms
Geometry Postulates, Theorems, and Definitions
Segment Addition Postulate
Protractor Postulate
Parallel Lines
Skew Lines
AB + BC = AC
Says that you can measure any angle
two lines that don't intersect and are coplanar
two lines that don't intersect and aren't coplanar
Segment Addition Postulate
AB + BC = AC
Protractor Postulate
Says that you can measure any angle
72 terms
Geometry Definitions, Postulates, and Theorems
Congruent triangles
All pairs of corresponding parts are c…
Congruent polygons
All pairs of corresponding parts are c…
All pairs of corresponding parts are congruent
Congruent triangles
All pairs of corresponding parts are corresponding parts are…
Congruent polygons
Congruent triangles
All pairs of corresponding parts are congruent
All pairs of corresponding parts are c…
Congruent triangles
84 terms
Geometry- Postulates, Theorems, and Definitions
Addition Property
Subtraction Property
Multiplication Property
Division Property
if a=b and c=d, then a+c=b+d
if a=b and c=d, then a-c=b-d
if a=b then ca=cb
if a=b then a/c=b/c where c doesn't = 0
Addition Property
if a=b and c=d, then a+c=b+d
Subtraction Property
if a=b and c=d, then a-c=b-d
35 terms
Geometry Theorems, Definitions, and postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
121 terms
Geometry Postulates, Theorems, and Definitions
Segment Addition Postulate
Protractor Postulate
Parallel Lines
Skew Lines
AB + BC = AC
Says that you can measure any angle
two lines that don't intersect and are coplanar
two lines that don't intersect and aren't coplanar
Segment Addition Postulate
AB + BC = AC
Protractor Postulate
Says that you can measure any angle
58 terms
Geometry Postulates, Theorems, and Definitions
Definition
Postulate
Theorem
Line Segment
a list of properties an object must have
a basic assumption
a statement that has been proven true
two points on a line and all points that lie between them
Definition
a list of properties an object must have
Postulate
a basic assumption
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
14 terms
geometry definitions, theorems, postulates
complementary angles
congruent angles
congruent complements theorem
congruent segments
two angles whose measures have a sum of 90 degrees
angles that have the same measure
if two angles are complementary to the same angle or to congr…
segments have the same length
complementary angles
two angles whose measures have a sum of 90 degrees
congruent angles
angles that have the same measure
14 terms
Geometry- Definitions, Postulates and Theorems
Perpendicular Lines
Angle Bisector
Midpoint
Congruent Angles
two lines that intersect to form right angles
The ray that divides the angle into two congruent adjacent an…
The point that divides the segment into two congruent segments
Angles that have equal measure
Perpendicular Lines
two lines that intersect to form right angles
Angle Bisector
The ray that divides the angle into two congruent adjacent an…
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
40 terms
Geometry Definitions Theorems and Postulates
Point
Line
plane
opposite rays
has no dimension; named with capital letter
has one dimension; extends in opposite directions without end…
extends in two dimensions without end; can be named with a si…
two rays that extend in opposite directions and share the sam…
Point
has no dimension; named with capital letter
Line
has one dimension; extends in opposite directions without end…
27 terms
Geometry Definitions, Postulates, and Theorems
Vertical Angles
Angle Bisector
Segment Bisector
Midpoint
Two angles whose sides form two pairs of opposite rays.
A ray that divides an angle into two adjacent angles that are…
Anything that intersects a segment at its midpoint.
The point that divides or bisects a segment into two congruen…
Vertical Angles
Two angles whose sides form two pairs of opposite rays.
Angle Bisector
A ray that divides an angle into two adjacent angles that are…
60 terms
Geometry: Postulates/Theorems/Definitions/
Segment Addition Postulate
Definition of Congruent Angles/Segments
Definition of a Midpoint
Definition of Bisector
If B is between A and C, then AB + BC = AC
Angles/Segments of Equal Length
Point that is the middle of two congruent segments
Line/segment/ray/plane that intersects the segment at its mid…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC
Definition of Congruent Angles/Segments
Angles/Segments of Equal Length
72 terms
Geometry Theorems, Definitions, and postulates
Definitions
Complementary Angles
Supplementary angles
theorem
Definitions
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
Definitions
Definitions
Complementary Angles
Two angles whose measures equal 90 degrees
70 terms
Geometry Theorems, Definitions, and postulates
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
30 terms
Geometry - Postulates, Theorems, and Definitions
Postulate
Theorem
Converse
Angle Addition Postulate
A statement, also called an axiom, that is accepted to be tru…
A statement that can be proven from a postulate.
A statement formed by switching the hypothesis and conclusion…
If R is the interior of ∠PQS, then m∠PQR + m∠RQS = m∠PQS.
Postulate
A statement, also called an axiom, that is accepted to be tru…
Theorem
A statement that can be proven from a postulate.
10 terms
Geometry-definitions, theorems, and postulates
Segment addition postulates
Midpoint definition
Midpoint theorem
Perpendicular lines
If B between A and C, then AB + BC = Ac
If a point is a midpoint, then it bisects a segment into 2 co…
If m is the midpoint of line segment AB, then AM = 1/2AB and…
If 2 lines form a right angle then the lines are perpendicula…
Segment addition postulates
If B between A and C, then AB + BC = Ac
Midpoint definition
If a point is a midpoint, then it bisects a segment into 2 co…
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