#### Study sets matching "vocabulary geometry postulates"

#### Study sets matching "vocabulary geometry postulates"

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 p…

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 p…

Congruent segments:

Congruent angles:

Midpoint:

Segment bisector:

segments whose lengths are equal

angles whose measures are equal

a point that divides a segment into 2 congruent segments

line (or part of a line) that intersects the segment at it's m…

Congruent segments:

segments whose lengths are equal

Congruent angles:

angles whose measures are equal

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

If B is between A & C, then AB + BC = AC

Consider Ray OB and a point A on one side of Ray OB. The rays…

If P is in the interior of <RST, then m<RST + m<RSP = m<PST

Ruler Postulate

The points on a line can be matched one to one with real numbe…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC

postulate/axiom

postulate 1-1

postulate 1-2

postulate 1-3

an accepted statement of fact (basic building blocks of a logi…

though any 2 there is exactly one line

if 2 district lines intersect then they intersect in exactly o…

if 2 distinct planes intersect then they intersect in exactly…

postulate/axiom

an accepted statement of fact (basic building blocks of a logi…

postulate 1-1

though any 2 there is exactly one line

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with real numbe…

If B is between A & C, then AB + BC = AC

Consider Ray OB and a point A on one side of Ray OB. The rays…

If P is in the interior of <RST, then m<RST + m<RSP = m<PST

Ruler Postulate

The points on a line can be matched one to one with real numbe…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC

point

line

plane

collinear

a location; has no length, no width, no thickness

extends in one dimension; has length but no width and no thick…

A flat surface that has length and width but no thickness

Points that lie on the same line.

point

a location; has no length, no width, no thickness

line

extends in one dimension; has length but no width and no thick…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

If you take a line segment and divide it into equal segments a…

If B is between A and C, then AB + BC = AC (the parts add up t…

On line AB in a given plane, chose any point O between A and B…

If point B lies in the interior of /_AOC, then the m/_AOB + m/…

Ruler Postulate

If you take a line segment and divide it into equal segments a…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC (the parts add up t…

Angle Addition Postulate

Segment Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

In a right triangle, leg squared + leg squared = hypotenuse sq…

If two angles form a linear pair, then they are supplementary.

Angle Addition Postulate

If S is in the interior of PQR, then mPQS + mSQR = m PQR.... (ba…

Segment Addition Postulate

If B is between A & C, then AB + BC = AC. ... (basically means: 2…

Linear Pair

Vertical Angles

Vertical Angle Theorm

Midpoint

Pair of adjacent angles whose non-common side are opposite rays

Two angles whose sides are opposite rays

Vertical angles are congruent

A point that divides the segment into two congruent parts

Linear Pair

Pair of adjacent angles whose non-common side are opposite rays

Vertical Angles

Two angles whose sides are opposite rays

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 s…

Two segments of a line added together to get the length of the…

Reflexive

Line segment AB is congruent to line segment CD

Symmetric

If line segment AB is congruent to line segment CD, then line…

Postulate 1-1 Through any two points, t…

Postulate 1-2 If two distinct lines int…

Postulate 1-3 If two distinct _______in…

Postulate 1-4 Through any ________point…

line

point

planes

three noncollinear

Postulate 1-1 Through any two points, t…

line

Postulate 1-2 If two distinct lines int…

point

Postulate 1

Postulate 2

The Ruler Postulate (Postulate 3)

The Protractor Postulate (Postulate 4)

Two points determine a unique straight line.

Three noncollinear points determine a unique plane

a. To every point on a line there corresponds exactly one real…

a. The rays in a half rotation (180 degrees) can be numbered s…

Postulate 1

Two points determine a unique straight line.

Postulate 2

Three noncollinear points determine a unique plane

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 mi…

Congruent Segments

Segments whose lengths are equal.

Congruent Angles

Angles whose measures are equal.

Postulates (axioms)

Theorems

Reflexive

Symmetric

statement that seems to "obvious" that we accept them without…

a statement that is provided by deductive reasoning

a quantity is equal to itself

if equal quantities are equal to the same quantity then they a…

Postulates (axioms)

statement that seems to "obvious" that we accept them without…

Theorems

a statement that is provided by deductive reasoning

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched one to one with the real n…

If B is between A and C, then AB + BC = AC. If AB + BC = AC, t…

Consider ray OB and a point A on one side of of ray OB. The ra…

If P is in the interior of angle of RST, then the measure of a…

Ruler Postulate

The points on a line can be matched one to one with the real n…

Segment Addition Postulate

If B is between A and C, then AB + BC = AC. If AB + BC = AC, t…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

accepted rule that a ruler can find a distance

if B is between A and C, then AB + BC = AC

the measure of an angle is equal to the absolute value of the…

if P is in the interior of the angle RST, then the measure of…

Ruler Postulate

accepted rule that a ruler can find a distance

Segment Addition Postulate

if B is between A and C, then AB + BC = AC

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line.

If two lines intersect, then they intersect in exactly one poi…

If two planes intersect, then they intersect in exactly one li…

Through any three noncollinear points there is exactly one pla…

Postulate 1-1

Through any two points there is exactly one line.

Postulate 1-2

If two lines intersect, then they intersect in exactly one poi…

Reflexive

Symmetric

Transitive

Substitution

a quantity is equal to itself

an equality maybe expressed in either order

if equal quantities are equal to the same quantity then they a…

a quantity may be substituted for its equal

Reflexive

a quantity is equal to itself

Symmetric

an equality maybe expressed in either order

Point

Line

Plane

Segment

Names a location and has no size. It is represented by a dot

A straight path that has no thickness and extends forever

A flat surface that has no thickness and extends forever

The part of a line consisting of two points and all points bet…

Point

Names a location and has no size. It is represented by a dot

Line

A straight path that has no thickness and extends forever

Quadrilateral

Parallelogram

5 Ways to Prove a Quadrilateral is also…

Symbol for Parallel

A polygon with 4 sides

A quadrilateral with 2 pairs of opposite sides that are //

1. Both Pairs of Opposite Sides are //... 2. Both Pairs of Opposi…

//

Quadrilateral

A polygon with 4 sides

Parallelogram

A quadrilateral with 2 pairs of opposite sides that are //

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Given two points, there corresponds a unique positive number c…

Given two rays, there corresponds a unique positive number cal…

Ruler Postulate

Given two points, there corresponds a unique positive number c…

Segment Addition Postulate

Inductive reasoning

Conjecture

Counter example

Point

A form of reasoning in which a conclusion is reached on a patt…

Appears to be true but isn't proven

Disproves a statement or proposition

A location, it has no size or width and is marked as a dot

Inductive reasoning

A form of reasoning in which a conclusion is reached on a patt…

Conjecture

Appears to be true but isn't proven

Postulate 1- Ruler Postulate

Postulate 2- Segment Addition Postulate

Postulate 3

Postulate 4- Angle Addition Postulate

the points on a line can be paired with the real numbers in su…

ex. if B is between A and C then: AB+BC=AC

rays can be paired with the real numbers from 1-180

if a point lies in the interior of and angle, then you would u…

Postulate 1- Ruler Postulate

the points on a line can be paired with the real numbers in su…

Postulate 2- Segment Addition Postulate

ex. if B is between A and C then: AB+BC=AC