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Study sets matching "math geometry vocab theorems postulates formulas"

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Study sets matching "math geometry vocab theorems postulates formulas"

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)
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
170 terms
GEOMETRY | THEOREMS, POSTULATES, AND FORMULAS
Surface Area
Lateral Area right prism
Volume of right prism
Lateral Area of regular pyramid
lateral area + 2B
Ph (Perimeter x height)
Bh (total area of Base x height)
1/2 P ℓ (ℓ = slant height)
Surface Area
lateral area + 2B
Lateral Area right prism
Ph (Perimeter x height)
33 terms
Geometry postulates, theorems, and formulas
Segment addition postulate
Midpoint formula
Distance formula
Postulate 5
if B is between A and C then AB+BC=AC
through any 2 points exists exactly 1 line
Segment addition postulate
if B is between A and C then AB+BC=AC
Midpoint formula
48 terms
Geometry Theorems, Postulates, and Formulas
midpoint formula
distance formula
corresponding angles
alternate interior angles
midpoint formula
distance formula
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
28 terms
Geometry Formulas, Postulates, and Theorems
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Linear Pair Postulate
The distance between A and B is the absolute value of the dif…
If B is between A and C then AB+BC=AC and If AB+BC=AC then B…
If P is in the interior of angle RST then RSP+PST
If two angles form a linear pair, then they are supp.
Ruler Postulate
The distance between A and B is the absolute value of the dif…
Segment Addition Postulate
If B is between A and C then AB+BC=AC and If AB+BC=AC then B…
39 terms
geometry theorems, postulates, and formulas
linear pair theorem
congruent supplements theorem
right angle congruence theorem
congruent complements theorem ,
if two angles form a linear pair then they are supplementary
if two angles are supplementary to the same angle, then the t…
all right angles are congruent
if two angles are complementary to the same angle then they a…
linear pair theorem
if two angles form a linear pair then they are supplementary
congruent supplements theorem
if two angles are supplementary to the same angle, then the t…
58 terms
Geometry Definitions, Formulas, Postulates, Theorems
Two-Point Postulate
Line-Point Postulate
Line-Intersection Postulate
Three-Point Postulate
Through any 2 points there is only 1 line.
Every line contains at least 2 points.
If 2 lines intersect, then their intersection is only 1 point.
If you have 3 noncollinear points, then you have only 1 plane.
Two-Point Postulate
Through any 2 points there is only 1 line.
Line-Point Postulate
Every line contains at least 2 points.
11 terms
Geometry postulates/theorems/formulas
through any two points there is exactl…
through any three noncollinear points…
if two points lie in a plane, then the…
if two lines intersect, then they inte…
(1-1-1) points/lines
(1-1-2) planes
(1-1-3) planes/lines/points
(1-1-4) lines/points
through any two points there is exactl…
(1-1-1) points/lines
through any three noncollinear points…
(1-1-2) planes
17 terms
Geometry- Formulas, Postulates, and Theorems
angle addition postulate
distance formula
vertical angles theorem
linear pair postulate
given two points A and C, a third point B lies on the line se…
sq root of X2 minus X1 squared plus Y2 minus Y1 squared
vertical angles are congruent
if 2 angles form a linear pair, then they are supplementary
angle addition postulate
given two points A and C, a third point B lies on the line se…
distance formula
sq root of X2 minus X1 squared plus Y2 minus Y1 squared
13 terms
geometry postulates, theorems, and formulas
isosceles triangle theorem
isosceles triangle converse theorem
random theorem
corollary to theorem 4.3
if two sides of a triangle are congruent, then the angles opp…
if two angles of a triangle are congruent, then the sides opp…
the bisector of the vertex angle of an isosceles triangle is…
if a triangle is equilateral, then it is equiangular
isosceles triangle theorem
if two sides of a triangle are congruent, then the angles opp…
isosceles triangle converse theorem
if two angles of a triangle are congruent, then the sides opp…
8 terms
Geometry formulas, theorems, and postulates
Midpoint
Distance
Postulate 1-1
Postulate 1-2
M=(X1+X2/2 | Y1+Y2/2)
D=(X2-X1)^2 (Y2-Y1)^2
Through any two point there is exactly one line
If two lines intersect, then they intersect at exactly one po…
Midpoint
M=(X1+X2/2 | Y1+Y2/2)
Distance
D=(X2-X1)^2 (Y2-Y1)^2
147 terms
Geometry final - postulates, theorems, formulas
Segment Addition Postulate... (1.2)
The Midpoint Formula... (1.3)
the distance formula... (1.3)
angle addition postulate... (1.4)
If B is between A and C, then AB + BC = AC... If AB + BC= AC, th…
[(x1 + x2)/2] , [(y₂ + y₁)/2)]
√ (x₂ - x₁)² + (y₂ - y₁)²
If P is in the interior of <RST, then m<RSP + m<PST = m<RST
Segment Addition Postulate... (1.2)
If B is between A and C, then AB + BC = AC... If AB + BC= AC, th…
The Midpoint Formula... (1.3)
[(x1 + x2)/2] , [(y₂ + y₁)/2)]
18 terms
geometry midterm - vocabulary, formulas, properties, postulates & theorems
line
segment
ray
opposite rays
set of points extending in opposite directions without end; h…
part of a line that consists of two endpoints and all points…
part of a line that begins at the endpoint and extends withou…
two rays that have the same endpoint and go in opposite direc…
line
set of points extending in opposite directions without end; h…
segment
part of a line that consists of two endpoints and all points…
24 terms
Math Postulates, Theorems and Formulas
Post. 1-1-1
Post. 1-1-2
Post. 1-1-3
Post. 1-1-4
Through any two points there is exactly one line
Through any three noncollinear points, there is exactly one p…
If two points lie in a plane, then the line containing those…
If two lines intersect, then they intersect in exactly one po…
Post. 1-1-1
Through any two points there is exactly one line
Post. 1-1-2
Through any three noncollinear points, there is exactly one p…
127 terms
Geometry Postulates, Theorems, Laws, and Formulas
Ruler Postulate
Segment Addition Postulate
Distance Formula
Protractor 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
The distance between A(x₁,y₁) and B(x₂,y₂) =√(x₂-x₁)+(y₂-y₁)
If point O is the center of a circle and points A and B are o…
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
28 terms
Geometry Formulas, Properties, Postulates, Theorems
Cross product property of proportions
Square Roots Property
Products of Square Roots Property
Square of a Square Root Property
If a number is squared and square rooted, it will just equal…
Cross product property of proportions
Square Roots Property
17 terms
Math: Geometry theorems and postulates
Transitive Property
symmetric property
reflexive property
substitution property
if a=b and b=c then a=c
if a=b then b=a
for any real number a, a=a
if a=b then a can be substituted for binary equation/expression
Transitive Property
if a=b and b=c then a=c
symmetric property
if a=b then b=a
24 terms
Chapter 2 Math Vocab, Formulas, Postulates, Theorems
segment
ray
opposite rays
collinear
consists of endpoints and all points on the line between line…
consists of initial point and all points on the line AB that…
two rays that are collinear and share the same initial point
points, segments, or rays that lie on the same line
segment
consists of endpoints and all points on the line between line…
ray
consists of initial point and all points on the line AB that…
202 terms
Math Theorems, Postulates, and Definitions. (Geometry)
Point
Line
Segment
Ray
A dot represented by a letter.
Two points determine a line. A line is never ending.
Two points determine a segment. A segment has a definite end…
Two points determine a ray. A ray has one definite end and a…
Point
A dot represented by a letter.
Line
Two points determine a line. A line is never ending.
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…
9 terms
Geometry Chapter 1 Postulates, Theorems, Formulas
Postulate
Ruler Postulate
Segment Addition Postulate
Midpoint Formula
Something we believe to be true but cannot prove.
The distance between two points is the absolute value of the…
If a point is between to other points then they MUST be colli…
M = {(x2+x1)/2 , (y2+y1)/2} or reverse {(x1+x2)/2 , (y1+y2)/2}
Postulate
Something we believe to be true but cannot prove.
Ruler Postulate
The distance between two points is the absolute value of the…
21 terms
vocabulary, postulates, formulas, and theorems
point
line
plane
segment
names a location and has no size. it's represented by a dot
a straight path that has no thickness and extends forever
a flat surface that has no thickness and extends forever
part of a line consisting of two points and all points betwee…
point
names a location and has no size. it's represented by a dot
line
a straight path that has no thickness and extends forever
50 terms
GEOMETRY FINALS: postulates, theorems, formulas
Definition of Opposite Rays
Definition of Congruent Segments
segment addition postulate
Definition of midpoint
Any two rays joined with an endpoint always have an angle bet…
congruent means exactly equal in size and shape. Congruent Se…
If a point B lies on a line segment AC then segment AB+segmen…
The point halfway between the two endpoints of a line segment.
Definition of Opposite Rays
Any two rays joined with an endpoint always have an angle bet…
Definition of Congruent Segments
congruent means exactly equal in size and shape. Congruent Se…
100 terms
Geometry Final - Postulates, Theorems, and Formulas
Midsegment Theorem
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Concurrency of Perpendicular Bisectors…
The segment connecting the midpoints of two sides of a triang…
In a plane, if a point is on the perpendicular bisector of a…
In a plane, if a point is equidistant from the endpoints of a…
The perpendicular bisectors of a triangle intersect at a poin…
Midsegment Theorem
The segment connecting the midpoints of two sides of a triang…
Perpendicular Bisector Theorem
In a plane, if a point is on the perpendicular bisector of a…
100 terms
Geometry Final - Postulates, Theorems, and Formulas
Midsegment Theorem
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Concurrency of Perpendicular Bisectors…
The segment connecting the midpoints of two sides of a triang…
In a plane, if a point is on the perpendicular bisector of a…
In a plane, if a point is equidistant from the endpoints of a…
The perpendicular bisectors of a triangle intersect at a poin…
Midsegment Theorem
The segment connecting the midpoints of two sides of a triang…
Perpendicular Bisector Theorem
In a plane, if a point is on the perpendicular bisector of a…
50 terms
Math Geometry Theorems, Postulates, and Definitions
Collinear Points
Noncollinear Points
Coplanar Points
Noncoplanar
Points that are all in one line
Points that are not in one line
Points that are in one plane
Points that are in multiple planes
Collinear Points
Points that are all in one line
Noncollinear Points
Points that are not in one line
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…
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.
29 terms
Math geometry theorems, definitions, and postulates
Def. of congruent
Def. of midpoint
Segment bisector
Def. of acute
When two angles or lines are equal size. ... Ex. If line AD=BC t…
Divides a segment into two congruent segments... Ex. If f is the…
Point, line, segment, Ray, or plane, that divides a segment i…
angle less than 90*
Def. of congruent
When two angles or lines are equal size. ... Ex. If line AD=BC t…
Def. of midpoint
Divides a segment into two congruent segments... Ex. If f is the…
80 terms
Geometry Terms, formulas, postulates, properties and theorems
equilateral triangle
equiangular triangle
acute triangle
scalene triangle
a triangle with all sides congruent
a triangle with all angles congruent
a triangle in which all of the angles are acute angles
a triangle with no two sides congurent
equilateral triangle
a triangle with all sides congruent
equiangular triangle
a triangle with all angles congruent
82 terms
Math Final Vocab/Formulas/Theorems/Postulates
Base (symbol)
Height (symbol)
Slant height (symbol)
Base area (symbol)
b
h
l
B
Base (symbol)
b
Height (symbol)
h
30 terms
Chapter 4--Vocabulary, Postulates, Properties, Theorems, and Formulas Geometry CP
triangle
Classifying Triangles
interior angles
exterior angles
polygon with 3 sides
>by sides: ... ~scalene: no congruent sides ... ~isosceles: two con…
the angles inside of the polygon (triangle)
form linear pairs with interior angles on the outside of the…
triangle
polygon with 3 sides
Classifying Triangles
>by sides: ... ~scalene: no congruent sides ... ~isosceles: two con…
25 terms
Chapter 3--Vocabulary, Postulates, Properties, Theorems, and Formulas Geometry CP
parallel lines
skew lines
parallel planes
transversal
lines in the same plane that do not intersect
lines that are not coplanar and do not intersect
planes that do not intersect
a line that intersects two coplanar lines at two different po…
parallel lines
lines in the same plane that do not intersect
skew lines
lines that are not coplanar and do not intersect
26 terms
Chapter 5--Vocabulary, Postulates, Properties, Theorems, and Formulas Geometry CP
midsegment of a triangle
coordinate proof
perpendicular bisector
equidistant
a segment that connects the midpoints of the two sides of the…
a type of proof that involves placing geometric figures in a…
a segment, ray, line, or plane that is perpendicular to a seg…
the same distance
midsegment of a triangle
a segment that connects the midpoints of the two sides of the…
coordinate proof
a type of proof that involves placing geometric figures in a…
21 terms
Chapter 7--Vocabulary, Postulates, Properties, Theorems, and Formulas Geometry CP
Pythagorean Triple
Geometric Mean
Trigonometric Ratio
Tangent
A Pythagorean triple is a set of three positive integers a,b,…
For positive numbers a and b, the positive number x such that…
A ratio of two sides of a right triangle
A line or a plane that touches a curve or a surface at a poin…
Pythagorean Triple
A Pythagorean triple is a set of three positive integers a,b,…
Geometric Mean
For positive numbers a and b, the positive number x such that…
86 terms
Geometry Formulas, Theorems and Vocabulary
The "Undefined Terms of Geometry"...
point
line
plane
point, line, plane
a location in space represented by a dot and usually assigned…
a straight path that extends without end in opposite directions
a flat surface that extends forever
The "Undefined Terms of Geometry"...
point, line, plane
point
a location in space represented by a dot and usually assigned…
36 terms
Geometry (Postulates, Formulas, Laws, Properties, Theorems, and Slopes)
1-1
1-2
1-3
1-4
Through any two points there in exactly one line
Two distinct lines intersect in exactly one point
If two distinct planes intersect, then they intersect in exac…
Through any non-collinear points, there is exactly one plane
1-1
Through any two points there in exactly one line
1-2
Two distinct lines intersect in exactly one point
86 terms
Geometry Formulas, Theorems and Vocabulary
The "Undefined Terms of Geometry"...
point
line
plane
point, line, plane
a location in space represented by a dot and usually assigned…
a straight path that extends without end in opposite directions
a flat surface that extends forever
The "Undefined Terms of Geometry"...
point, line, plane
point
a location in space represented by a dot and usually assigned…
86 terms
Geometry Formulas, Theorems and Vocabulary
The "Undefined Terms of Geometry"...
point
line
plane
point, line, plane
a location in space represented by a dot and usually assigned…
a straight path that extends without end in opposite directions
a flat surface that extends forever
The "Undefined Terms of Geometry"...
point, line, plane
point
a location in space represented by a dot and usually assigned…
75 terms
CP Geometry Final Exam Theorems, Postulates, and Formulas
Exterior angle inequality theorem
Inverse
Contrapositive
Theorem 6-2
the measure of an exterior angle of a triangle is greater tha…
if not a, then not b... Logically equivalent with Converse
if not b, then not a... logically equivalent with conditional
If one side of a triangle is longer than a second side, then…
Exterior angle inequality theorem
the measure of an exterior angle of a triangle is greater tha…
Inverse
if not a, then not b... Logically equivalent with Converse
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
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
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…
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…
26 terms
Math geometry theorems, definitions, and postulates
Def. of congruent
Def. of midpoint
Segment bisector
Def. of angle bisector
When two angles or lines are equal size. ... Ex. If line AD=BC t…
Divides a segment into two congruent segments... Ex. If f is the…
Point, line, segment, Ray, or plane, that divides a segment i…
Ray that divides an angle into two congruent adjacent angles…
Def. of congruent
When two angles or lines are equal size. ... Ex. If line AD=BC t…
Def. of midpoint
Divides a segment into two congruent segments... Ex. If f is the…
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
43 terms
Chapters 1 and 2--Vocabulary, Postulates, Properties, Theorems, and Formulas Geometry CP
congruent segments
congruent angles
midpoint
segment bisector
two segments that have the same length
two angles that have the same measure
the point that divides a segment into two congruent segments
a line, ray, or segment that divides a segment into two congr…
congruent segments
two segments that have the same length
congruent angles
two angles that have the same measure
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