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Study sets matching "honors theorems postulates geometry postulates theorems"

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Study sets matching "honors theorems postulates geometry postulates theorems"

Honors Geometry Chapter Four Vocab/Theorems/Postulates
Congruent Polygons
Corollary
Equilateral Triangle
Isosceles Triangle
Polygons that have corresponding sides congruent and correspo…
Theorem that can proved easily using another theorem.
A triangle whose sides are all congruent.
Triangle that has two congruent sides.
Congruent Polygons
Polygons that have corresponding sides congruent and correspo…
Corollary
Theorem that can proved easily using another theorem.
23 terms
geometry exam~postulates and theorems
right angles congruence theorem
congruent supplements theorem
congruent complements theorem
linear pairs postulate
all right angles are congruent
if two angles are supplementary to the same angle (or to cong…
if two angles are complementary to the same angle (or to cong…
if two angles form a linear pair, then they are supplementary
right angles congruence theorem
all right angles are congruent
congruent supplements theorem
if two angles are supplementary to the same angle (or to cong…
14 terms
Geometry: Postulates and Theorems
Postulate 1
Postulate 4
Postulate 5
Postulate 6
(Segment Addition Postulate)... if B is between A and C, then AB…
(Angle Addition Postulate)... if B lies in the interior of <AOC,…
a LINE contains at least 2 POINTS... a PLANE contains at least 3…
through any 2 POINTS there is exactly 1 LINE
Postulate 1
(Segment Addition Postulate)... if B is between A and C, then AB…
Postulate 4
(Angle Addition Postulate)... if B lies in the interior of <AOC,…
8 terms
Postulates and Theorems (Geometry)
Corresponding Angles Postulate
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Consecutive 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 pair…
If two parallel lines are cut by a transversal, then the pair…
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…
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
21 terms
Honors Geometry - Chapter 3 Postulates & Theorems
Corresponding Angles Postulate
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then correspo…
If a transversal intersects two parallel lines, then alternat…
If a transversal intersects two parallel lines, then same-sid…
If a transversal intersects two parallel lines, then alternat…
Corresponding Angles Postulate
If a transversal intersects two parallel lines, then correspo…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, then alternat…
Honors Geometry - Chapter 3 Postulates & Theorems
Corresponding Angles Postulate
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then correspo…
If a transversal intersects two parallel lines, then alternat…
If a transversal intersects two parallel lines, then same-sid…
If a transversal intersects two parallel lines, then alternat…
Corresponding Angles Postulate
If a transversal intersects two parallel lines, then correspo…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, then alternat…
40 terms
Geometry Theorems, Properties, and Postulates
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 (a)(c) = (b)(c)
If a = b, c not equal to "zero", 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
8 terms
Postulates & Theorems-Honors Groden
Postulate "#5"
Postulate "#6"
Postulate "#7"
Postulate "#8"
A line contains at least 2 points.... A plane contains at least…
Through any two points there is exactly one line.
Through any three points there is at least one plane.... Through…
If two points are in a plane, the line that contains those po…
Postulate "#5"
A line contains at least 2 points.... A plane contains at least…
Postulate "#6"
Through any two points there is exactly one line.
13 terms
Geometry Postulates and Theorems
Through any two points,
Through any three noncollinear points,
A line contains at least
A plane contains at least
there is exactly one line.
there is exactly one plane.
two points.
three noncollinear points.
Through any two points,
there is exactly one line.
Through any three noncollinear points,
there is exactly one plane.
66 terms
Geometry Honors Postulates and Theorems (Chapters 1-6)
Segment Addition Postulate
Angle Addition Postulate
(Postulate) Through any two points
(Postulate) A line contains
If C is in the middle of line AB, then AC+CB=AC
If D is in the interior of ∠ABC, then m∠ABD + m∠DBC= m∠ABC
exists exactly one line
at least two points
Segment Addition Postulate
If C is in the middle of line AB, then AC+CB=AC
Angle Addition Postulate
If D is in the interior of ∠ABC, then m∠ABD + m∠DBC= m∠ABC
93 terms
GEOMETRY FORMULAS, THEOREMS, AND POSTULATES
Slope-Intercept Form of a line
Slope formula
Positive slope
Negative slope
Slope-Intercept Form of a line
Slope formula
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…
14 terms
Geometry honors unit 5 theorems and postulates
What are the five ways to prove a shap…
If two lines are parallel
If three parallel lines cut off congru…
A line that contains the midpoint of o…
1.) if both pairs of opposite sides of a quadrilateral are co…
then all the points on one line are equidistant from the othe…
then they cut off congruent segments on every transversal
passes through the midpoint of the third side
What are the five ways to prove a shap…
1.) if both pairs of opposite sides of a quadrilateral are co…
If two lines are parallel
then all the points on one line are equidistant from the othe…
43 terms
Geometry Theorems, Postulates, and Formulas
Slope-Intercept Form (most graph-able…
Point-Slope Form (to get a point and s…
Slope of Two Points
Midpoint of a Line
y=mx+b
y-y₁=m(x-x₁)
Y₂-Y₁ / X₂-X₁
(x₁+x₂ / 2) , (y₁+y₂ / 2)
Slope-Intercept Form (most graph-able…
y=mx+b
Point-Slope Form (to get a point and s…
y-y₁=m(x-x₁)
33 terms
Geometry A Theorems and postulates
Segment Addition Postulate
Supplement Theorem
Complement Theorem
Congruent Complements theorem
If B is between A and C, then AB+BC=AC
if 2 angles form a linear pair, then they are supplementary a…
If the noncommon sides of 2 adjacent angles form a right angl…
if <1+<2=180 and <2+<3=180, then <1 congruent to <3
Segment Addition Postulate
If B is between A and C, then AB+BC=AC
Supplement Theorem
if 2 angles form a linear pair, then they are supplementary a…
50 terms
geometry postulates and theorems and corollaries
ruler postulate
segment addition postulate
protractor postulate
angle addition postulate
the points on a line can be paired with the real numbers in s…
if B is between A and C, than AB+BC= AC
ruler postulate w angles
if point B lies in the interior of ∠AOC than m∠AOB + m∠BOC =…
ruler postulate
the points on a line can be paired with the real numbers in s…
segment addition postulate
if B is between A and C, than AB+BC= AC
25 terms
Geometry Properties, Postulates, and Theorems
coordinate midpoint property
segment additive property
angle addition property
linear pair theorem
if B is between A & C,... then AB+BC=AC
if D is on the interior of Angle ABC,... then m Angle ABD + m An…
if two angles form a linear pair,... then the two angles are sup…
coordinate midpoint property
segment additive property
if B is between A & C,... then AB+BC=AC
35 terms
Geometry Theorems, Postulates, and Properties
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 a•c=b•c
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
10 terms
Geometry Honors Chapter 1: Postulates and Theorems
Dimension Postulate
Straight Line Postulate
Plane Existence Postulate
Flat Plane Postulate
A line contains at least 2 points... A plane contains at least 3…
Through any 2 distinct points there is exactly 1 line... 2 disti…
Through any 3 points there is at least 1 plane... 3 noncollinear…
If 2 points are in a plane, then the line that contains them…
Dimension Postulate
A line contains at least 2 points... A plane contains at least 3…
Straight Line Postulate
Through any 2 distinct points there is exactly 1 line... 2 disti…
13 terms
Honors Geometry Chapter 2 theorems, definitions and postulates
Reflexive property
Symmetric propetry
Transitive property
Midpoint theorm
A=A, AB=AB, m<1=m<1
If A=B, then B=A. If AB=CD, then CD=AB
If AB=CD and CD=EF, then AB=EF
If M is the midpoint of segment AB, then AM= 1/2 AB
Reflexive property
A=A, AB=AB, m<1=m<1
Symmetric propetry
If A=B, then B=A. If AB=CD, then CD=AB
38 terms
Theorems and Postulates for Geometry Proofs
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Addition Property of Equality
a = a
If a = b... Then b = a
If a = b, and b = c ... Then a = c
If a = b ... Then a + 3 = b + 3
Reflexive Property of Equality
a = a
Symmetric Property of Equality
If a = b... Then b = a
59 terms
Geometry Postulates, Theorems, and Properties
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.
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
44 terms
Honors Geometry Final Exam Theorems, Postulates, & Corollaries
A/B=C/D is equal to
AA similarity postulate
SAS similarity postulate
SSS similarity postulate
cross multiplication (ad=bc), reciprocals (b/a d/c), numerato…
If two angles of one triangle are congruent to two angles of…
If an angle of one triangle is congruent to an angle of anoth…
If the sides of two triangles are in proportion, then the tri…
A/B=C/D is equal to
cross multiplication (ad=bc), reciprocals (b/a d/c), numerato…
AA similarity postulate
If two angles of one triangle are congruent to two angles of…
27 terms
Chapter 5 Honors Geometry Terms, Theorems, and Postulates
midsegment of a triangle
Midsegment Theorem
coordinate proof
perpendicular bisector
a segment that connects the midpoints of two sides of a trian…
The segment connecting the midpoints of two sides of a triang…
A proof involving placing geometric figures in a coordinate p…
A segment, ray, line, or plane that is perpendicular to a seg…
midsegment of a triangle
a segment that connects the midpoints of two sides of a trian…
Midsegment Theorem
The segment connecting the midpoints of two sides of a triang…
23 terms
Geometry Honors Definitions, theorems, postulates, etc.
Point
Line
Plane
Collinear Points
A location in space
An infinite set of points strung together in one dimension
An infinite set of points strung together to form a boundless…
Points that lie on the same line
Point
A location in space
Line
An infinite set of points strung together in one dimension
49 terms
Honors Geometry Postulates, Theorems and Vocab test
A(n) _________ is the part of a line c…
Two segments with the same lengths are…
A(n) __________ of a segment is the po…
A(n) __________ is a ray that divides…
segment
congruent
midpoint
angle bisector
A(n) _________ is the part of a line c…
segment
Two segments with the same lengths are…
congruent
34 terms
Geometry 210 Postulates and Theorems
Undefined Terms
Segment AB
Ray AB
The Line Postulate
Points, Lines, and Planes
Consists of points A and B and all the points in between them
Consists of segment AB and all points C such that B is betwee…
Through any two points there is exactly one line
Undefined Terms
Points, Lines, and Planes
Segment AB
Consists of points A and B and all the points in between them
170 terms
Honors Geometry Midterm Vocab, Theorems, and Postulates
point
line
plane
space
location, without size, represented by a dot -Notation: one s…
extends in two directions without ending; has no thickness -n…
suggested by a floor or wall; extends forever and has no thic…
set of all points (3D)
point
location, without size, represented by a dot -Notation: one s…
line
extends in two directions without ending; has no thickness -n…
12 terms
Honors Geometry Postulates and Theorems Ch. 3
The Ruler Postulate
The Protractor Postulate
The Betweenness of Points Theorem
The Betweenness of Rays Theorem
The points on a line can be numbered so that positive number…
The rays in a half rotation can be numbered from 0 to 180 so…
If A-B-C, then AB+BC=AC
If OA-OB-OC, then aAOB+aBOC=aAOC
The Ruler Postulate
The points on a line can be numbered so that positive number…
The Protractor Postulate
The rays in a half rotation can be numbered from 0 to 180 so…
23 terms
Honors Geometry Ch. 2 Postulates and Theorems
Postulate 2.1
Postulate 2.2
Postulate 2.3
Postulate 2.4
through any 2 points, there is exactly 1 line
through any 3 points not on the same line (noncollinear), the…
a line contains at least 2 points
a plane contains at least 3 points not on the same line (nonc…
Postulate 2.1
through any 2 points, there is exactly 1 line
Postulate 2.2
through any 3 points not on the same line (noncollinear), the…
24 terms
Honors Geometry Postulates, Properties, Theorems, & Laws.
law of detachment
law of syllogism
postulate 5
postulate 6
if P implies Q is a true conditional statement and P is true,…
if P implies Q and Q implies R is true, then P implies R.
through any two points there exists exactly one line.
a line contains at least two points.
law of detachment
if P implies Q is a true conditional statement and P is true,…
law of syllogism
if P implies Q and Q implies R is true, then P implies R.
37 terms
Geometry Honors - Chapter 6 Theorems/Postulates/Defintions
Theorem 6.1 (Sum of Interior Angles of…
Theorem 6.2 (Sum of Exterior Angles of…
Theorem 6.3
Theorem 6.4
The sum of the interior angles of a convex polygon is represe…
The sum of the exterior angles of a convex polygon will alway…
Opposite sides of a parallelogram are congruent
Opposite angles of a parallelogram are congruent
Theorem 6.1 (Sum of Interior Angles of…
The sum of the interior angles of a convex polygon is represe…
Theorem 6.2 (Sum of Exterior Angles of…
The sum of the exterior angles of a convex polygon will alway…
35 terms
Geometry Postulates, Theorems, and Corollaries
Theorem 5.3 (Circumcenter Theorem)
Theorem 5.4 (Angle Bisector Theorem)
Theorem 5.5 (Converse of the Angle Bis…
Theorem 5.6 (Incenter Theorem)
The perpendicular bisectors of a triangle intersect at a poin…
If a point is on the bisectors of an angle, then it is equidi…
If a point in the interior of an angle is equidistant from th…
The angle bisectors of a triangle intersect at a point called…
Theorem 5.3 (Circumcenter Theorem)
The perpendicular bisectors of a triangle intersect at a poin…
Theorem 5.4 (Angle Bisector Theorem)
If a point is on the bisectors of an angle, then it is equidi…
24 terms
Honors Geometry - Definitions, Postulates, Theorems (All Year)
Point 1.1
Line 1.1
Plane 1.1
Collinear Points 1.1
A location in space.... 1.) Point has no dimension... 2.) Point is…
An infinite set of points strung together in one dimension.... 1…
An infinite set of points strung together to form a boundless…
Points that lie on the same line.
Point 1.1
A location in space.... 1.) Point has no dimension... 2.) Point is…
Line 1.1
An infinite set of points strung together in one dimension.... 1…
82 terms
Honors Geometry Definitions, Postulates, Theorems & Equations
Point
Line
plane
Co-linear points
a location in space
an infinite set of points strung together in one dimension
an infinite set of points strung together to form a boundless…
points that lie on the same line
Point
a location in space
Line
an infinite set of points strung together in one dimension
15 terms
Geometry Postulates and Theorems Chapter 3
Postulate 3-1 Same-side Interior Angle…
Theorem 3-1 Alternate Interior Angles…
Theorem 3-2 Corresponding Angles Theor…
Theorem 3-3 Alternate Exterior Angles…
supplementary... m∠1 + m∠2 = 180
congruent
corresponding
exterior
Postulate 3-1 Same-side Interior Angle…
supplementary... m∠1 + m∠2 = 180
Theorem 3-1 Alternate Interior Angles…
congruent
21 terms
Honors Geometry Postulates, Theorems and Vocab Test
segment
congruent
midpoint
angle bisector
a _______ is the part of a line consisting of two endpoints a…
two segments with the same length are _________
a ________ of a segment is the point that divides the segment…
an _____ ________ is a ray that divides an angle into two con…
segment
a _______ is the part of a line consisting of two endpoints a…
congruent
two segments with the same length are _________
6 terms
Geometry Chapter 3 - Theorems and Postulates
Parallel Postulate
Perpendicular Postulate
Corresponding Angles Theorem
Alternate Interior Angles Theorem
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…
If two parallel lines are cut by a transversal, then the pair…
If two parallel lines are cut by a transversal, then the pair…
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…
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…
12 terms
Postulates and Theorems of Geometry 1
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any 2 points there is 1 line
If 2 distinct lines intersect, they will intersect at exactly…
If 2 distinct planes intersect, they will intersect at exactl…
Through any 3 noncollinear points there is exactly 1 plane
Postulate 1-1
Through any 2 points there is 1 line
Postulate 1-2
If 2 distinct lines intersect, they will intersect at exactly…
Honors Geometry Parallel Lines theorems and postulates
corresponding angles postulate
alternate interior angles theorem
alternate exterior angle theorem
consecutive (same-side) interior angle…
If two parallel lines are cut by a transversal, then the corr…
If two parallel lines are cut by a transversal, then the alte…
If two parallel lines are cut by a transversal, then the alte…
if two parallel lines are cut by a transversal, then the cons…
corresponding angles postulate
If two parallel lines are cut by a transversal, then the corr…
alternate interior angles theorem
If two parallel lines are cut by a transversal, then the alte…
14 terms
Geometry Postulates and Theorems
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
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
On Line AB in a given plane, choose any point between A and B…
If Point B lies in the interior of Angle AOC, then the measur…
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, then AB + BC = AC
49 terms
geometry honors postulates, theorems and vocabulary test
If two sides of a triangle are congrue…
If a transversal intersects two parall…
vertical angles are ________
The point of concurrency of the three…
base angles
congruent
congruent
incenter
If two sides of a triangle are congrue…
base angles
If a transversal intersects two parall…
congruent
12 terms
Geometry Honors-Talbot-Chapter 3 Postulates and Theorems
corresponding angles postulate
converse of corresponding angles postu…
alternate interior angles theorem
converse of alternate interior angles…
if two parallel lines are cut by a transversal, then the pair…
if two coplanar lines are cut by a transversal so that a pair…
if two parallel lines are cut by a transversal, then the pair…
if two coplanar lines are cut by a transversal so that a pair…
corresponding angles postulate
if two parallel lines are cut by a transversal, then the pair…
converse of corresponding angles postu…
if two coplanar lines are cut by a transversal so that a pair…
65 terms
Geometry Honors: theorems, properties, postulates, and definitions.
Ruler Postulate
Angle defintion
Protractor Postulate
Angle Addition Postulate
There is a point on the number line for every real number.
An angle is formed by two rays with the same endpoint. The ra…
Any angle can be measured by a protractor.
Adding two angles to make a bigger angle.
Ruler Postulate
There is a point on the number line for every real number.
Angle defintion
An angle is formed by two rays with the same endpoint. The ra…
129 terms
Geometry theorems and 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 the AB + BC = AC. IF AB + BC = AC, th…
Consider OB and a point A on one side of OB. The rays of the…
If P is in the interior of < RST, then the measure of <RST is…
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 the AB + BC = AC. IF AB + BC = AC, th…
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
32 terms
Honors Geometry - Triangles 2 - Theorems, Postulates, and Definitions
Median of a Triangle
Concurrent
Angle Bisector of a Triangle
Altitudes of a Triangle
a segment from a vertex of a triangle to the midpoint of the…
three lines intersecting at the same point
a segment from vertex to side opposite such that the angle is…
a segment from vertex to side opposite of the vertex such tha…
Median of a Triangle
a segment from a vertex of a triangle to the midpoint of the…
Concurrent
three lines intersecting at the same point
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