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Study sets matching "honors theorems postulates postulates theorems advanced geometry"

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Study sets matching "honors theorems postulates postulates theorems advanced geometry"

19 terms
Geometry Honors Theorems & Postulates
Right Angle Congruence Theorem
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
If 2 angles are right angles, then they are congruent
If 2 angles are vertical angles, then they are congruent
If 2 angles are supplementary to the same angle or congruent…
If 2 angles are complementary to the same angle or congruent…
Right Angle Congruence Theorem
If 2 angles are right angles, then they are congruent
Vertical Angles Theorem
If 2 angles are vertical angles, then they are congruent
48 terms
Honors Geometry Postulates and Theorems
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 and C, then AB+BC=AC
Consider OB and a point A on one side of OB. The rays of the…
If P is the interior of angleRST, then the measure of angleRS…
Ruler Postulate
The points on a line can be matched one to one with real numb…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
31 terms
Geometry Honors Postulates and Theorems
Postulate 1-1-1
Postulate 1-1-2
Postulate 1-1-3
Postulate 1-1-4
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…
Postulate 1-1-1
Through any two points there is exactly one line
Postulate 1-1-2
Through any three noncollinear points there is exactly one pl…
Honors Geometry Postulates and Theorems
Postulate 5
Postulate 6
Postulate 7
Postulate 8
(1) A line contains at least two points (2) A plane contains…
Through any two points there is exactly one line.
(1) Through any three points there is at least one plane (2)…
If two points are in a plane, then the line that contains the…
Postulate 5
(1) A line contains at least two points (2) A plane contains…
Postulate 6
Through any two points there is exactly one line.
32 terms
Geometry Honors Theorems and Postulates
theorem 1
theorem 2
theorem 3
theorem 4
If two angles are right angles, then they are congruent
if two angles are straight angles, then they are congruent
If a conditional statement is true, the the contrapositive of…
If angles are supplementary to the same angle, then they are…
theorem 1
If two angles are right angles, then they are congruent
theorem 2
if two angles are straight angles, then they are congruent
18 terms
Geometry honors theorems and postulates
Midpoint definition
Segment bisector definition
Congruent segments definition
Angle addition postulate
A point that divides the segment into two congruent segments
a point, line, ray, or other segment that intersects a segmen…
Segments that have the same length
Two little angles make one big angle
Midpoint definition
A point that divides the segment into two congruent segments
Segment bisector definition
a point, line, ray, or other segment that intersects a segmen…
25 terms
Honors Geometry Postulates and Theorems
Through any two points
If two lines intersect then
If two distinct planes intersect then
Through any 3 non-collinear points
There is exactly one line.
They intersect at exactly one point.
They intersect at exactly one line.
There is one plane.
Through any two points
There is exactly one line.
If two lines intersect then
They intersect at exactly one point.
27 terms
Honors Geometry Theorems and Postulates
Postulate
Ruler Postulate
Congruent Segments
Segment Addition Postulate
A subject we accept as being true without truly proving it
You can find the distance between any two point on a line.
Two segments that have the same length
If B is between A and C, then AB + BC = AC
Postulate
A subject we accept as being true without truly proving it
Ruler Postulate
You can find the distance between any two point on a line.
120 terms
Honors Geometry Postulates and Theorems
Linear Pair Postulate
vertical angles theorem
Protractor Postulate
Angle Addition Postulate
if 2 angles form a linear pair, then they are supplementary
vertical angles are congruent
every angles has a degree measure that can be measured with a…
if B is the interior of /_ AOC then m/_AOB + m/_BOC = /_AOC
Linear Pair Postulate
if 2 angles form a linear pair, then they are supplementary
vertical angles theorem
vertical angles are congruent
17 terms
Geometry Honors Postulates & Theorems
Postulate 1-1-1
Postulate 1-1-2
Postulate 1-1-3
Postulate 1-1-4
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 at exactly one po…
Postulate 1-1-1
Through any two points there is exactly one line.
Postulate 1-1-2
Through any three noncollinear points there is exactly one pl…
Honors Geometry: Theorems and Postulates
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Every line segment has a length that can be measured with a r…
If B is between A and C, then AB+BC=AC
Every angle has a degree measure that can be measured with a…
If B is in the interior of <RST, then m<RST=m<RSP+m<PST
Ruler Postulate
Every line segment has a length that can be measured with a r…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
18 terms
Honors Geometry Theorems/Postulates
If two angles are supplementary to the…
If two angles form a linear pair, then…
If two angles are complementary to the…
All right angles are congurent
Congruent Supplements Theorem
Linear Pair Theorem
Congruent Complements Theorem
Right Angle Congruence Theorem
If two angles are supplementary to the…
Congruent Supplements Theorem
If two angles form a linear pair, then…
Linear Pair Theorem
14 terms
Honors Geometry: Theorems/Postulates
Complementary Angles
Congruent Angles
Congruent Complements Theorem
Congruent Segments
Two angles whose measures have the sum of 90 degrees.
Angles that have the same measure.
If two angles are complementary to the same angle or to congr…
Segments that have the same length.
Complementary Angles
Two angles whose measures have the sum of 90 degrees.
Congruent Angles
Angles that have the same measure.
10 terms
Honors Geometry(postulates and theorems)
Segment addiction postulate
Angle addition postulate
Supplement theorem
Complement theorem
If A, B, and C are collinear, then point B is between A and C…
D is in the interior of <ABC if and only if m<ABD + m<DBC = m…
If two angles form a linear pair, then they are supplementary…
If the non common sides of two adjacent angles form a right a…
Segment addiction postulate
If A, B, and C are collinear, then point B is between A and C…
Angle addition postulate
D is in the interior of <ABC if and only if m<ABD + m<DBC = m…
30 terms
Honors Geometry: Postulates and Theorems
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 exact…
If two distinct planes intersect, then they intersect in exac…
Through any three non-collinear points there is exactly one p…
Postulate 1-1
Through any two points there is exactly one line.
Postulate 1-2
If two distinct lines intersect, then they intersect in exact…
14 terms
geometry honors - postulates and theorems
Corresponding Angles Postulate
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Same Side Interior Angles Theorem
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the two…
If two parallel lines are cut by a transversal, then the two…
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pair…
Alternate Interior Angles Theorem
If two parallel lines are cut by a transversal, then the pair…
64 terms
Theorems and Postulates- Honors Geometry
SSS Postulate (Side-side-side)
SAS Postulate (side-angle-side)
ASA Postulate (angle-side-angle
AAS Postulate (angle-angle-side)
If all three sides of one triangle are congruent to all three…
If two sides and the included angle of one triangle are congr…
If two angles and the included side of one triangle are congr…
If two angles and a non-included side of one triangle are con…
SSS Postulate (Side-side-side)
If all three sides of one triangle are congruent to all three…
SAS Postulate (side-angle-side)
If two sides and the included angle of one triangle are congr…
12 terms
Geometry Honors Postulates and Theorems
Angle Addition Postulate
Segment Addition Postulate
Ruler Postulate
Protractor Postulates
2 adjacent angles = a whole; angle abc + cbd = abd
Segment 1 + Segment 2 = the Whole; ab+bc=ac
Points on a number line can be matched up with real numbers
Rays can be matched with real numbers
Angle Addition Postulate
2 adjacent angles = a whole; angle abc + cbd = abd
Segment Addition Postulate
Segment 1 + Segment 2 = the Whole; ab+bc=ac
17 terms
Honors Geometry Theorems and Postulates
Through any two points there is exactl…
If two line intersect, then they inter…
If two planes intersect, their interse…
Through any 3 noncollinear points ther…
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points there is exactl…
Postulate 1-1
If two line intersect, then they inter…
Postulate 1-2
29 terms
Honors Geometry Postulates and Theorems
Same-Side Interior Angles POSTULATE
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Corresponding Angles Theorem
If a transversal intersects two parallel lines then the same-…
If a transversal intersects two parallel lines then alternate…
If a transversal intersects two parallel lines then alternate…
If a transversal intersects two parallel lines then correspon…
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 alternate…
43 terms
Honors Geometry Postulates and Theorems
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 and j=k, then a+j=b+k
If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k
If a=b, then wa=wb... if c=d and r=s, then cr=ds
If p=q, then p/q=q/p
Addition Property Of Equality
If a=b, then a+c=b+c... If a=b and j=k, then a+j=b+k
Subtraction Property of Equality
If a=b, then a-c=b-c... If a=b and j=k, then a-j=b-k
57 terms
Honors geometry theorems and postulates
Reflexive property
Sss
Sas
Asa
Anything congruent to itself
Side side side
Side angle side
Angle side angle
Reflexive property
Anything congruent to itself
Sss
Side side side
14 terms
Honors Geometry Definitions, Theorems, Postulates
Midpoint
Supplementary Angles
Perpendicular Lines
Congruent Angles
The point that divides, or bisects, a segment into two congru…
Two angles whose measures have the sum of 180 degrees
Two lines that intersect to form a right angle
Angles that have the same measure
Midpoint
The point that divides, or bisects, a segment into two congru…
Supplementary Angles
Two angles whose measures have the sum of 180 degrees
43 terms
Postulates & Theorems - Geometry Honors 2015
Postulate 2
Postulate 4
Postulate 5
Postulate 6
Segment addition postulate
The whole of an angle is the sum of its parts - Angle additio…
A line contains at least 2 points; a plane contains at least…
through any two points there is exactly one line
Postulate 2
Segment addition postulate
Postulate 4
The whole of an angle is the sum of its parts - Angle additio…
24 terms
Lowell Honors Geometry Postulates and Theorems
Distance Postulate
Ruler Postulate
Ruler Placement Postulate
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 different points there is exactly one line that…
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…
80 terms
Advanced Geometry Postulates, Theorems, and Corollaries
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 plane 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…
61 terms
Honors Geometry Definitions, Theorems, and Postulates
midpoint
colinear
straight angle
acute angle
it is a midpoint if and only if it divides a segment into two…
3 or more points on the same line; CONDITIONAL: if it is coli…
the sides of a straight angle form a line; CONDITIONAL: if it…
is less than a right angle; CONDITIONAL: if it is an acute an…
midpoint
it is a midpoint if and only if it divides a segment into two…
colinear
3 or more points on the same line; CONDITIONAL: if it is coli…
100 terms
Honors Geometry Terms, Theorems, and Postulates
space
collinear points
non collinear points
coplanar points
the set of all points
points all in one line
points not all in one line
points all in one plane
space
the set of all points
collinear points
points all in one line
36 terms
Postulates & Theorems - Geometry Honors 2015
Postulate 2
Postulate 4
Postulate 5
Postulate 6
Segment addition postulate
The whole of an angle is the sum of its parts - Angle additio…
A line contains at least 2 points; a plane contains at least…
through any two points there is exactly one line
Postulate 2
Segment addition postulate
Postulate 4
The whole of an angle is the sum of its parts - Angle additio…
26 terms
Honors Geometry postulates, theorems, and definitions
Parallel lines
Perpendicular
Skew lines
Parallel planes
Coplanar lines that do not intersect.
Lines that intersect to form a right angle.
Non-coplanar lines that do not intersect.
Planes that do not intersect.
Parallel lines
Coplanar lines that do not intersect.
Perpendicular
Lines that intersect to form a right angle.
29 terms
Honors Geometry Postulates/Theorems/Properties
Midpoint theorem
Addition property of =
Subtraction property of =
Multiplication property of =
If M is the midpoint of segment AB, then segment AM ≅ MB.
If a=b, then a+c = a+b.
If a=b, then a-c = b-c.
If a=b, then a x c = b x c.
Midpoint theorem
If M is the midpoint of segment AB, then segment AM ≅ MB.
Addition property of =
If a=b, then a+c = a+b.
37 terms
Geometry Honors Theorems, Properties, Postulates
If two angles are right angles, then t…
If two angles are straight angles, the…
If angles or segments are congruent to…
If angles or segments are congruent to…
Theorem
Theorem
Theorem
Theorem
If two angles are right angles, then t…
Theorem
If two angles are straight angles, the…
Theorem
18 terms
Advanced Geometry Final Postulates and Theorems
2-6-1
2-6-2
2-6-3
2-6-4
Linear Pair Theorem
Congruent Supplements Theorem
Right Angle Congruence Theorem
Congruent complements theorem
2-6-1
Linear Pair Theorem
2-6-2
Congruent Supplements Theorem
109 terms
Honors Geometry: Definitions, Postulates, and Theorems
Postulate 2/Segment Addition Postulate
congruent
congruent segments
midpoint of a segment
If B is between A and C, then AB+BC=AC.
the term used to describe two objects with the same size and…
segments that have equal lengths
the point that divides a segment into two congruent segments
Postulate 2/Segment Addition Postulate
If B is between A and C, then AB+BC=AC.
congruent
the term used to describe two objects with the same size and…
105 terms
Geometry Honors, Definitions, Theorems, and Postulates
(D1) If an angle is a 90 degree angle,…
(D2) If an angle is a 180 degree angle…
(D3) If two angles or segments have th…
(D4) If a point/ray/line _______ a seg…
Right Angle
Straight Angle
Congruent
Bisects
(D1) If an angle is a 90 degree angle,…
Right Angle
(D2) If an angle is a 180 degree angle…
Straight Angle
76 terms
Geometry Honors Cucullu Theorems and Postulates
Segment Addition Postulate
Angle Addition Postulate
Corresponding Angles Postulate
SSS Congruence Postulate
If B is between A and C, then AB + BC = AC (the two parts mus…
If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR
IF two parallel lines are cut by a transversal, then the pair…
If the 3 sides of one triangle are congruent to the three sid…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC (the two parts mus…
Angle Addition Postulate
If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR
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
47 terms
Honors Geometry exam--postulates and theorems
...
...
...
...
ruler postualte
segment addition postualte
protractor postuatle
angle addition postualte
...
ruler postualte
...
segment addition postualte
15 terms
MCPS Honors Geometry Postulates and Theorems Chapter 3
Same-side Interior Angle Postulate... If…
Alternate Interior Angles Theorem... If a…
Corresponding Angles Theorem... If a tran…
Alternate Exterior Angles Theorem... If a…
supplementary... m∠1 + m∠2 = 180
congruent
corresponding
exterior
Same-side Interior Angle Postulate... If…
supplementary... m∠1 + m∠2 = 180
Alternate Interior Angles Theorem... If a…
congruent
19 terms
Honors Geometry Postulates, Theorems, and Definitions
Postulate 5
Postulate 6
Postulate 7
Postulate 8
A line contains at least 2 points; a plane contains at least…
Through any 2 points there is one line.
through any 3 points there is at least 1 plane and through an…
If 2 points are in a plane, then the line that contains them…
Postulate 5
A line contains at least 2 points; a plane contains at least…
Postulate 6
Through any 2 points there is one line.
30 terms
Geometry Honors Postulates, Theorems, and Definitions
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Corresponding Angles Postulate
The points on a line can be paired with real numbers in such…
If B is between A and C, AB + BC = AC
On AB is a given plane, choose any point O between A and B. C…
If m is parallel to n with a transversal intersecting both, t…
Ruler Postulate
The points on a line can be paired with real numbers in such…
Segment Addition Postulate
If B is between A and C, AB + BC = AC
24 terms
Geometry Honors: Postulates, Theorems, & Definitions
Ruler Postulate
Segment Addition Postulate
Angel Addition Postulate
A line has at least 2 points; a plane…
The points on a line can be paired with real numbers so that…
If B is between A and C, then AB+AC=AC
If point B is between angle AOC, AOB+BOC=AOC ; If angle AOC i…
A line has at least 2 points; a plane has at least 3 points (…
Ruler Postulate
The points on a line can be paired with real numbers so that…
Segment Addition Postulate
If B is between A and C, then AB+AC=AC
43 terms
Geometry Honors Midterm - Postulates and Theorems
Segment Addition Postulate
Angle Addition Postulate
Linear Pair Postulate
Parallel Postulate
If B is between A and C, then AB + BC = AC. If AB + BC = AC,…
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 there is a line and a point not on the line, then there is…
Segment Addition Postulate
If B is between A and C, then AB + BC = AC. If AB + BC = AC,…
Angle Addition Postulate
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
6 terms
Honors Geometry - Circle Theorems and Postulates
The measure of a minor arc is ________…
Arc Addition Postulate
The measure of the inscribed angle is…
If 2 inscribed angles intercept the sa…
congruent
the measure of an arc formed by 2 adjacent arcs is the sum of…
half
congruent
The measure of a minor arc is ________…
congruent
Arc Addition Postulate
the measure of an arc formed by 2 adjacent arcs is the sum of…
22 terms
Geometry Honors - Postulates & Theorems/Corollaries
The Ruler Postulate
The Protractor Postulate
Segment Addition Postulate/The Between…
Angle Addition Postulate/The Betweenne…
points on a line can be numbered so that positive number diff…
you can measure angles
If A-B-C, then AB + BC = AC
∠AOB + ∠BOC = ∠AOC
The Ruler Postulate
points on a line can be numbered so that positive number diff…
The Protractor Postulate
you can measure angles
17 terms
Geometry Honors: Theorems, Postulates, and Definitions
What is the difference between a postu…
Definition of Congruence
Segment Addition Postulate
Angle Addition Postulate
A postulate is something that cannot be proven.
if angles have equal measures, then they're congruent
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
What is the difference between a postu…
A postulate is something that cannot be proven.
Definition of Congruence
if angles have equal measures, then they're congruent
54 terms
Geometry Honors: Postulates, Theorems, and Properties
Postulate 1
Postulate 2
Postulate 3
Postulate 4
- Ruler Postulate... -points on a line can be paired w the real…
-if B is bw A and C, then... AB + BC = AC
-protractor postulate... -match rays w real numbers on a protrac…
-Angle Addition Postulate... -if point B lies in interior of an…
Postulate 1
- Ruler Postulate... -points on a line can be paired w the real…
Postulate 2
-if B is bw A and C, then... AB + BC = AC
193 terms
Honors Geometry: Definitions, Postulates, and Theorems
Postulate 2/Segment Addition Postulate
congruent
congruent segments
midpoint of a segment
If B is between A and C, then AB+BC=AC.
the term used to describe two objects with the same size and…
segments that have equal lengths
the point that divides a segment into two congruent segments
Postulate 2/Segment Addition Postulate
If B is between A and C, then AB+BC=AC.
congruent
the term used to describe two objects with the same size and…
20 terms
Honors Geometry: Definitions, Postulates, and Theorems
Theorem 9-1
Corollary (of Theorem 9-1)
Theorem 9-2
postulate 16
If a line is tangent to a circle, then the line is perpendicu…
Tangents to a circle from a point are congruent.
If a line in the plane of a circle is perpendicular to a radi…
measure of the arc formed by two adjacent arcs is the sum of…
Theorem 9-1
If a line is tangent to a circle, then the line is perpendicu…
Corollary (of Theorem 9-1)
Tangents to a circle from a point are congruent.
84 terms
Honors Geometry: Definitions, Postulates, and Theorems
space
collinear points
coplanar points
intersection (of two figures)
the set of all points
point all in one line
points all in one plane
the set of points that are in both figures
space
the set of all points
collinear points
point all in one line
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