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Study sets matching "geometry theorems etc"

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Study sets matching "geometry theorems etc"

85 terms
Geometry theorems, properties, etc.
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
128 terms
Geometry- Postulates, Theorems, Definitions Etc
undefined term
point
line
plane
a word without a formal definition
undefined, a location with no size or dimension
undefined, a series of infinite points that extends in two di…
undefined, flat surface that has no thickness and extends in…
undefined term
a word without a formal definition
point
undefined, a location with no size or dimension
16 terms
Geometry Theorems, etc.
Segment Addition Postulate
Angle Addition Postulate
Midpoint
segment bisector
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=m<…
m is the midpoint of ab if and only if AM=MB
CD bisects AB if and only if M is the endpoint of AB
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=m<…
43 terms
Geometry Theorems, Postulates, etc.
Segment Addition Postulate
Angle Addition Postulate
Reflexive Property
Symmetric Property
If three points A, B, and C are collinear and B is between A…
If point B is in the interior of <AOC then m<AOB+m<BOC≡m<AOC
Line AB is congruent to Line AB and Angle A is congruent to A…
If Line AB is congruent to Line CD, then Line CD is congruent…
Segment Addition Postulate
If three points A, B, and C are collinear and B is between A…
Angle Addition Postulate
If point B is in the interior of <AOC then m<AOB+m<BOC≡m<AOC
33 terms
Geometry Postulates, Theorems, Definitions, etc.
Postulate 1 (Ruler Postulate)
Postulate 2 (Segment Addition Postulate)
Postulate 3 (Protractor Postulate)
Postulate 4 (Angle Addition Postulate)
The distance between points a and b is the absolute value of…
If B is in between A and C, then AB+BC=AC
The measure of angle AOB is equal to the absolute value of th…
If point B is in the interior of angle COA, then the measure…
Postulate 1 (Ruler Postulate)
The distance between points a and b is the absolute value of…
Postulate 2 (Segment Addition Postulate)
If B is in between A and C, then AB+BC=AC
252 terms
Geometry Vocab/theorem etc.
Bisection point
Midpoint
Trisect
Bisect
A point (or segment, ray, or line) that divides a segment int…
the bisection point of a segment
to divide a segment into 3 congruent segments (or angles)
to divide a segment into 2 congruent segments (or angles)
Bisection point
A point (or segment, ray, or line) that divides a segment int…
Midpoint
the bisection point of a segment
35 terms
Geometry Props, Theorems, Postulates, etc
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
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 and c≠0, then a÷c=b÷c
Addition Property of Equality
If a=b and c=d, then a+c=b+d
Subtraction Property of Equality
If a=b and c=d, then a-c=b-d
10 terms
Geometry Theorems/Postulates/Etc
Same-Side Interiors Angle Postulate
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
If a transversal intersects two parallel lines, then same-sid…
If a transversal intersects two parallel lines, the alternate…
If a transversal intersects two parallel lines, then correspo…
If a transversal intersects two parallel lines, then alternat…
Same-Side Interiors Angle Postulate
If a transversal intersects two parallel lines, then same-sid…
Alternate Interior Angles Theorem
If a transversal intersects two parallel lines, the alternate…
21 terms
Geometry theorems, postulates, etc
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 C=0, then a/c=b/c
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
54 terms
Geometry -- Theorems, Postulates, etc.
AA Similarity Postulate
SAS Similarity Theorem
SSS Similarity Theorem
Triangle Proportionality Theorem
If two angles of one triangle are congruent to two other tria…
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…
If a line parallel to one side of a triangle intersects the o…
AA Similarity Postulate
If two angles of one triangle are congruent to two other tria…
SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of anoth…
32 terms
geometry theorems etc.
perpendicular lines
skew lines
Parallel planes
transversal
intersect at 90 degree angles
are not coplanar, parallel, and do not intersect
planes that do not intersect
a line that intersects to coplanar lines at two different poi…
perpendicular lines
intersect at 90 degree angles
skew lines
are not coplanar, parallel, and do not intersect
29 terms
Geometry Postulates, Theorems, etc
Posulate 5
Poatulate 6
Postulate 7
Postulate 8
Through any two points there exists exactly one line.
A line contains at least two points.
If two lines intersect, then their intersection is exactly on…
Through any three noncollinear points there exists exactly on…
Posulate 5
Through any two points there exists exactly one line.
Poatulate 6
A line contains at least two points.
43 terms
Geometry Theorems, Postulates etc.
Ruler Postulate
Segment Addition Postulate
Angle Addition Postulate
Postulate 5
AB=Ix2-x1I
AB+BC= AC
m<RSP+m<PST=m<RST
Through any two points there exists exactly one line
Ruler Postulate
AB=Ix2-x1I
Segment Addition Postulate
AB+BC= AC
31 terms
Geometry~theorems, postulates, definitions, etc
Linear Pair Theorem
Theorem
Congruent supplements theorem
Right angle congruence theorem
If 2 angles form a linear pair, then they are supplementary
A statement that must be proven
If 2 angles are supplementary to the same angle, then the 2 a…
All right angles are congruent
Linear Pair Theorem
If 2 angles form a linear pair, then they are supplementary
Theorem
A statement that must be proven
14 terms
Geometry POEs, Theorems, Postulates, etc.
Reflexive POE
Symmetric POE
Transitive POE
Substitution POE
a=a
If a=b, then b=a
If a=b and b=c, then a=c
If a=b, then a may be replaced by b in any expression or equa…
Reflexive POE
a=a
Symmetric POE
If a=b, then b=a
37 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point, line, plane
collinear points
axioms
theorems
the three undefined terms in geometry
points on the same line
statements that are accepted without proofs
statements that can be proven
point, line, plane
the three undefined terms in geometry
collinear points
points on the same line
70 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
88 terms
Geometry Definitions, Postulates, Theorems,etc
Point
Name Points
Line
Name Lines
A location in space that has no dimension
Upper-case print letter is used to __.
A set of infinite points in one dimension;goes infinitely in…
Using a lower-case cursive letter OR using a 2 points and a l…
Point
A location in space that has no dimension
Name Points
Upper-case print letter is used to __.
39 terms
Chapter 3 Geometry theorems etc
Definition of parallel lines
Definition of skew lines
Definition of parallel planes
If two parallel planes are cut by a th…
Coplanar lines that do not intersect
Noncoplanar lines; neither parallel or intersecting
Non intersecting planes
The lines of intersection are parallel
Definition of parallel lines
Coplanar lines that do not intersect
Definition of skew lines
Noncoplanar lines; neither parallel or intersecting
20 terms
Geometry Postulates, Theorems, Properties, Etc.
If a = b and c = d, then a+c = b+d.
If a = b and c = d, then a-c = b-d.
If M is the midpoint of AB, then AM =…
If AD is the bisector of <CAB then m<B…
Addition Property:
Subtraction Property:
Theorum 2-1: Midpoint Theorem
Theorum 2-2: Angle Bisector Theorem.
If a = b and c = d, then a+c = b+d.
Addition Property:
If a = b and c = d, then a-c = b-d.
Subtraction Property:
13 terms
Geometry Theorems, Postulates, Definitions, etc.
Midpoint theorem
Angle bisector theorem
Vertical angle theorem
Perpendicular adjacent angle theorem
If M is the midpoint of line AB, then AM= 1/2AB and MB=1/2AB
If ray BX is the bisector of angle ABC, then the measurement…
Virgil s angles are congruent
If two lines are perpendicular, then they form congruent adja…
Midpoint theorem
If M is the midpoint of line AB, then AM= 1/2AB and MB=1/2AB
Angle bisector theorem
If ray BX is the bisector of angle ABC, then the measurement…
Geometry- Postulates, Theorems, Definitions Etc
postulate
Segment Addition Postulate
acute angles
obtuse angles
an accepted statement of fact without proog
If B is between A and C then AB+BC=AC
measure between 0 and 90 degrees
measure between 90 and 180
postulate
an accepted statement of fact without proog
Segment Addition Postulate
If B is between A and C then AB+BC=AC
37 terms
Geometry~theorems, postulates, definitions, etc
Linear Pair Theorem
Theorem
Congruent supplements theorem
Right angle congruence theorem
If 2 angles form a linear pair, then they are supplementary
A statement that must be proven
If 2 angles are supplementary to the same angle, then the 2 a…
All right angles are congruent
Linear Pair Theorem
If 2 angles form a linear pair, then they are supplementary
Theorem
A statement that must be proven
70 terms
Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
70 terms
Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
50 terms
Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
18 terms
Geometry chapter 4 theorems, postulates, definitions etc
cpctc
SSS postulate
sas postulate
asa postulate
Corresponding parts of congruent triangles are congruent
If three sides of one triangle are congruent to three sides o…
If two sides and the included angle of one triangle are congr…
If two angles and the included side of one of triangle are co…
cpctc
Corresponding parts of congruent triangles are congruent
SSS postulate
If three sides of one triangle are congruent to three sides o…
21 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
line
collinear
axioms/postulates
theorems
made up of points and has no thickness or width (undefined te…
points on the same line
statements that are accepted WITHOUT proofs
statements that can be proven
line
made up of points and has no thickness or width (undefined te…
collinear
points on the same line
31 terms
Geometry~theorems, postulates, definitions, etc
Linear Pair Theorem
Theorem
Congruent supplements theorem
Right angle congruence theorem
If 2 angles form a linear pair, then they are supplementary
A statement that must be proven
If 2 angles are supplementary to the same angle, then the 2 a…
All right angles are congruent
Linear Pair Theorem
If 2 angles form a linear pair, then they are supplementary
Theorem
A statement that must be proven
30 terms
Geometry Chapter 2 Theorems, etc
Definition of Midpoint
Definition of Bisector
Angle Addition Postulate
Addition Prop. of =
a point that divides a segment into two congruent segments
a line, segment, or ray that intersects a line segment at its…
if point B lies in the interior of <AOC then <AOB + <BOC=<AOC…
if a=b and c=d then a+c=b+d
Definition of Midpoint
a point that divides a segment into two congruent segments
Definition of Bisector
a line, segment, or ray that intersects a line segment at its…
26 terms
Honors Geometry Theorems, Definitions, etc
A point (or segment, ray, or line) tha…
two points at which the segment is div…
A ray that divides an angle into two c…
Dividing ray is called the
Bisects the Midpoint
trisection points
bisects
angle bisector
A point (or segment, ray, or line) tha…
Bisects the Midpoint
two points at which the segment is div…
trisection points
19 terms
Math Theorems, Postulate, etc. Geometry
Reflexive Property of Equality (Refl.…
Symmetric Property of Equality (Symm.…
Transitive Property of Equality (Trans…
Substitution Property of Equality (Sub…
a=a
If a=b, the b=a
If a=b and b=c, the a=c
If a=b, then a may be replaced by b in any equation or expres…
Reflexive Property of Equality (Refl.…
a=a
Symmetric Property of Equality (Symm.…
If a=b, the b=a
135 terms
CP Geometry Final Exam Vocab, Theorems, etc.
the exterior angle inequality theorem…
converse (pg.208)
inverse (pg.208)
contrapositive (pg.208)
the measure of an exterior angle of a triangle is greater tha…
if q, then p... (if the original statement is: if p, then q)
if not p, then not q ... (if the given statement is: if p, then q)
if not q, then not p... (if the given statement is: if p, then q)
the exterior angle inequality theorem…
the measure of an exterior angle of a triangle is greater tha…
converse (pg.208)
if q, then p... (if the original statement is: if p, then q)
69 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
70 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
31 terms
Geometry Theorems, Formulas, etc. (Chapter 6)
congruent; proportional
scale factor
scale factor
scale factor
In similar polygons, corresponding angles are __________, cor…
If 2 polygons are similar, the ratio of the lengths is 2 corr…
The ration lengths in similar polygons is the same as the ___…
The ratio of the perimeter is similar polygons is the same as…
congruent; proportional
In similar polygons, corresponding angles are __________, cor…
scale factor
If 2 polygons are similar, the ratio of the lengths is 2 corr…
17 terms
Geometry Theorems, Formulas, etc. (Chapter 7)
squares of the legs
Pythagorean Theorem
Right Triangle
½(b)(h)
Pythagorean Theorem: In a right triangle, the square of the l…
What theorem is this?
The Pythagorean Theorem is only true for what type of triangle?
Area of a triangle
squares of the legs
Pythagorean Theorem: In a right triangle, the square of the l…
Pythagorean Theorem
What theorem is this?
48 terms
Geometry Formulas, Theorems, etc. (Chapter 5)
Midsegment of a Triangle
Parallel; the third side half; the thi…
Midsegment Theorem
Midpoint formula
A segment that connects the midpoints of 2 sides of the trian…
Midsegment Theorem: The segment connecting the midpoints of 2…
What theorem?
What formula is this?
Midsegment of a Triangle
A segment that connects the midpoints of 2 sides of the trian…
Parallel; the third side half; the thi…
Midsegment Theorem: The segment connecting the midpoints of 2…
66 terms
Geometry Chapter 8 Theorems, Formulas, etc.
What is a diagonal?
Polygon Interior Angles Theorem: The s…
Interior Angles of a Quadrilateral: Th…
What is a quadrilateral?
segment that joins 2 nonconsecutive vertices
"n" is the number of sides the figure has.
360 degrees
4 sided figure
What is a diagonal?
segment that joins 2 nonconsecutive vertices
Polygon Interior Angles Theorem: The s…
"n" is the number of sides the figure has.
70 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
48 terms
Math: Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
24 terms
Geometry Theorems, Formulas, etc. (Chapter 10)
A circle is a set of all points in a p…
A radius is the distance from the cent…
A chord is a segment whose endpoints a…
A diameter is a chord that..
equidistant
any point on the circle
opposite sides of the circle
contains the center of the circle
A circle is a set of all points in a p…
equidistant
A radius is the distance from the cent…
any point on the circle
111 terms
Geometry Final Terms, Theorems, Postulates, etc.
Midsegment of a triangle
How many midsegments does a triangle h…
Midsegment Theorem
A segment, ray, line, or plane that is…
a segment that connects the midpoints of two sides of the tri…
3
The segment connecting the midpoints of two sides of a triang…
Perpendicular bisector
Midsegment of a triangle
a segment that connects the midpoints of two sides of the tri…
How many midsegments does a triangle h…
3
70 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
70 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
27 terms
Geometry Chapter 5: postulates theorems definitions etc.
Theorem
Theorem
Theorem
5 ways to prove quadrilaterals are con…
Opposite sides of a parallelogram are congruent
Opposite angles of a parallelogram are congruent
Diagonals of a parallelogram bisect each other
1. Show that both pairs of opposite sides are parallel ... 2. Sh…
Theorem
Opposite sides of a parallelogram are congruent
Theorem
Opposite angles of a parallelogram are congruent
31 terms
Geometry Postulates, Theorems, etc Ch 2
Postulate 5
Postulate 6
Postulate 7
Postulate 8
Through any two points there exists exactly one line.
A line contains at least two points.
If two lines intersect, then their intersection is exactly on…
Throught any three noncollinear points there exists exactly o…
Postulate 5
Through any two points there exists exactly one line.
Postulate 6
A line contains at least two points.
129 terms
Geometry Midterm- All Terms, Theorems, Etc.
Point
Line
Plane
Collinear
has no size, represented by a dot
extends indefinitely and has no thickness or width; named by…
has two dimensions; represented by a shape that looks like a…
points that lie on the same line
Point
has no size, represented by a dot
Line
extends indefinitely and has no thickness or width; named by…
56 terms
GEOMETRY EXAM TERMS, POSTULATES, THEOREMS, EXAMPLES, ETC.
Adjacent angles
Corresponding angles
Alternate interior angles
Alternate exterior angles
A pair of angles that share a common side
are congruent when two lines are parallel to one another and…
The angles that are on opposite sides of the transversal and…
The angles that are on oppostie sides of the transversal and…
Adjacent angles
A pair of angles that share a common side
Corresponding angles
are congruent when two lines are parallel to one another and…
48 terms
Ultimate Geometry (Terms, Postulates, Theorems, etc.)
point
plane
line
collinear points
a location (undefined term)
a flat surface made up of points; has no depth and extends in…
made up of points and has no thickness or width (undefined te…
points on the same line
point
a location (undefined term)
plane
a flat surface made up of points; has no depth and extends in…
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