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Study sets matching "math geometry vocab theorems postulates"

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Study sets matching "math geometry vocab theorems postulates"

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.
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
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…
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…
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…
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.
9 terms
Big Ideas Math Geometry Chapter 6 Postulates, Properties, & Theorems
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
In a plane, if a point is equidistant from the endpoints of a…
If a point lies on the bisector of an angle, then it is ... equi…
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
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
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…
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
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…
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
16 terms
Geometry Math Midterm Theorems and Postulates
Congruent Supplements Theorem
Vertical Angles Theorem
Alternate interior angles theorem
Alternate exterior angles theorem
If two angles are supplementary to the same angle (or to the…
Vertical angles are congruent.
If two parallel lines are cut by a transversal, then the alte…
If two parallel lines are cut by a transversal, then the alte…
Congruent Supplements Theorem
If two angles are supplementary to the same angle (or to the…
Vertical Angles Theorem
Vertical angles are congruent.
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…
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…
14 terms
Big Ideas Math Geometry Chapter 5 Postulates, Properties, & Theorems
Triangle Sum Theorem
Exterior Angle Theorem
Corollary to the Triangle Sum Theorem
Properties of Triangle Congruence
The sum of the measures of the interior angles of a triangle…
The measure of an exterior angle of a triangle is equal to th…
The acute angles of a right triangle are complementary.
Triangle congruence is reflexive, symmetric, and transitive.…
Triangle Sum Theorem
The sum of the measures of the interior angles of a triangle…
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to th…
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
19 terms
Geometry Postulates & Theorems Vocabulary
If _______ lines are parallel to the _…
In a plane, if a line is perpendicular…
If 2 parallel lines are cut by a _____…
If 2 parallel lines are cut by a _____…
2; same; parallel
perpendicular
transversal; congruent; alternate exterior anglr postulate
transversal; supplementary; same-side exterior angle theorem
If _______ lines are parallel to the _…
2; same; parallel
In a plane, if a line is perpendicular…
perpendicular
32 terms
Big Ideas Math Geometry Chapters 1 & 2 Postulates, Properties, & Theorems
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, then AB + BC = AC. ... If AB + BC = AC,…
Consider line OB and a point A on one side of line OB. The ra…
Words: If P is in the interior of ∠RST, then the measure of ∠…
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, then AB + BC = AC. ... If AB + BC = AC,…
18 terms
Math Geometry Theorems, Postulates, and Defininitions
Linear pair
Angle bisector
Congruent angles
Congruent segments
Two adjacent angles that form online who's noncommon sides ar…
A line, ray, or segment that divides an angle into two adjace…
Angles that have the same measure
Segments that have the same length
Linear pair
Two adjacent angles that form online who's noncommon sides ar…
Angle bisector
A line, ray, or segment that divides an angle into two adjace…
9 terms
Big Ideas Math Geometry Chapter 8 Postulates, Properties, & Theorems
Perimeters of Similar Polygons
Areas of Similar Polygons
Angle-Angle (AA) Similarity Theorem
Side-Side-Side (SSS) Similarity Theorem
If two polygons are similar, then the ratio of their perimete…
If two polygons are similar, then the ratio of their areas is…
If two angles of one triangle are... congruent to two angles of…
If the corresponding side lengths of... two triangles are propor…
Perimeters of Similar Polygons
If two polygons are similar, then the ratio of their perimete…
Areas of Similar Polygons
If two polygons are similar, then the ratio of their areas is…
12 terms
Big Ideas Math Geometry Chapter 9 Postulates, Properties, & Theorems
Triangle Longer Side Theorem
Triangle Larger Angle Theorem
Triangle Inequality Theorem
Pythagorean Theorem
If one side of a triangle is longer than another side, then t…
If one angle of a triangle is larger than another angle, then…
The sum of the lengths of any two sides of a triangle is grea…
In a right triangle, the square of the length of the hypotenu…
Triangle Longer Side Theorem
If one side of a triangle is longer than another side, then t…
Triangle Larger Angle Theorem
If one angle of a triangle is larger than another angle, then…
24 terms
Big Ideas Math Geometry Chapter 7 Postulates, Properties, & Theorems
Classifications of Quadrilaterals
Polygon Interior Angles Theorem
Corollary to the Polygon Interior... Angl…
Polygon Exterior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a... quadrilat…
The sum of the measures of the exterior angles of a convex po…
Classifications of Quadrilaterals
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
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
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
22 terms
Big Ideas Math Geometry Chapter 10 Postulates, Properties, & Theorems
Tangent Line to a Circle Theorem
External Tangent Congruence Theorem
Arc Addition Postulate
Congruent Circles Theorem
In a plane, a line is tangent to a circle if and ony if the l…
Tangent segments from a common external point are conruent.
The measure of an arc formed by two adjacent arcs is the sum…
Two circles are congruent circles if and only if they have th…
Tangent Line to a Circle Theorem
In a plane, a line is tangent to a circle if and ony if the l…
External Tangent Congruence Theorem
Tangent segments from a common external point are conruent.
10 terms
Geometry Theorems and Postulate Vocabulary
Postulate 1.1
Postulate 1.2
Postulate 1.3
Postulate 1.4
Through any two points there is exactly one line. **Example:…
If two lines intersect, then they intersect in exactly one po…
If Two distinct planes intersect, them they intersect in exac…
Through any thee non col-linear points there is exactly one p…
Postulate 1.1
Through any two points there is exactly one line. **Example:…
Postulate 1.2
If two lines intersect, then they intersect in exactly one po…
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
14 terms
Math vocabulary 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 transversal then the pairs o…
If two parallel lines are cut by transversal then the pairs o…
If two parallel lines are cut by transversal then the two pai…
If you parallel lines are cut by transversal then the two pai…
Corresponding angles postulate
If two parallel lines are cut by transversal then the pairs o…
Alternate interior angles theorem
If two parallel lines are cut by transversal then the pairs o…
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.
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
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
17 terms
Chapter 2 Math Theorems, Postulates and Definitions Geometry
Complementary Angles
Supplementary Angles
Adjacent Angles
Linear Pair of Angles
2 angles whose sum is always 90 degrees
2 angles whose sum is always 180 degrees
A pair of angles that share a common side, and have no common…
A pair of adjacent angles whose non-common sides form opposit…
Complementary Angles
2 angles whose sum is always 90 degrees
Supplementary Angles
2 angles whose sum is always 180 degrees
16 terms
Geometry Chapter 3 Vocabulary/Theorems/Postulates
Transversal
Alternate Interior Angles
Consecutive Interior Angles
Corresponding Angles
a line that intersects two or more coplanar lines at differen…
are inside the parallel lines, and on opposite (alternate) si…
lie on the same side of the transversal and on the interior o…
are two nonadjacent angles that lie on the ... same side of the…
Transversal
a line that intersects two or more coplanar lines at differen…
Alternate Interior Angles
are inside the parallel lines, and on opposite (alternate) si…
15 terms
Geometry Theorems, Postulates, and Some Vocabulary
Perpendicular Bisector
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
Converse of the Angle Bisector Theorem
If a point is on the perpendicular bisector of a segment, the…
If a point is equidistant from the endpoints of a segment, th…
If a point is on the bisector of an angle, then it is equidis…
If a point in the interior of an angle is equal distance from…
Perpendicular Bisector
If a point is on the perpendicular bisector of a segment, the…
Converse of the Perpendicular Bisector…
If a point is equidistant from the endpoints of a segment, th…
29 terms
Geometry Vocabulary (Postulates, Definitions, and Theorems)
Definition of Bisector of Angle
Definition of Parallel Lines
Definition of Congruent Angles
Angle Addition Postulate
A ray of line that divides the angle into two congruent angles
Two lines in the same plane that do not intersect
Two angles that have the same measure
If D is in the interior of <ABC, then m<ABD + m<DBC = m<ABC
Definition of Bisector of Angle
A ray of line that divides the angle into two congruent angles
Definition of Parallel Lines
Two lines in the same plane that do not intersect
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
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
6 terms
Geometry Postulates & Theorems
Corresponding Angles Converse
Alternate Interior Angles Converse
Alternative Exterior Angles Converse
Consecutive Interior Angles converse
If two lines are cut by a transversal so the corresponding an…
If two lines are cut by a transversal so the alternate interi…
if two lines are cut by a transversal so the alternate exteri…
If two lines are cut by a transversal so the consecutive inte…
Corresponding Angles Converse
If two lines are cut by a transversal so the corresponding an…
Alternate Interior Angles Converse
If two lines are cut by a transversal so the alternate interi…
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°
39 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…
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…
16 terms
Important Geometry Theorems/Postulates
If two congruent angles form a linear…
If two angles are vertical angles, the…
If there is a line and a point not on…
If there exists a line and a point, th…
If two congruent angles form a linear…
If two angles are vertical angles, the…
16 terms
Geometry Chapter 3 Theorems & Postulates
Parallel Postulate
Perpendicular Postulate
Corresponding Angles Postulate
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…
12 terms
Geometry - Postulates and theorems
segment addition postulate
reflexive property
congruent
midpoint theorem
AB + BC = AC
any segment or angle is congruent/equal to itself (AB = AB) (…
have equal measure
If AB + BC = AC and AB=BC
segment addition postulate
AB + BC = AC
reflexive property
any segment or angle is congruent/equal to itself (AB = AB) (…
19 terms
Big Ideas Math Geometry Chapter 6 Postulates, Properties, & Theorems, Big Ideas Math Geometry Chapter 6 Vocabulary
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
In a plane, if a point is equidistant from the endpoints of a…
If a point lies on the bisector of an angle, then it is ... equi…
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
32 terms
Big Ideas Math Geometry Chapters 1 & 2 Postulates, Properties, & Theorems
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, then AB + BC = AC. ... If AB + BC = AC,…
Consider line OB and a point A on one side of line OB. The ra…
Words: If P is in the interior of ∠RST, then the measure of ∠…
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, then AB + BC = AC. ... If AB + BC = AC,…
19 terms
Big Ideas Math Geometry Chapter 6 Postulates, Properties, & Theorems, Big Ideas Math Geometry Chapter 6 Vocabulary
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
Converse of the Perpendicular Bisector…
Angle Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
In a plane, if a point is equidistant from the endpoints of a…
If a point lies on the bisector of an angle, then it is ... equi…
Lies, Rays, and Segments in Triangles
Perpendicular Bisector Theorem
In a plane, if a point lies on the perpendicular bisector of…
18 terms
Geometry Postulates and Theorems
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, then AB + BC = AC.
Given line AB and a point O on line AB, all rays that can be…
If B is in the interior of <AOC, then m<AOB + m<BOC = m<AOC.
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, then AB + BC = AC.
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