# Study sets matching "vocabulary geometry postulates"

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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

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

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…

Counterexample

Law of Detachment

Law of Syllogism

Two point postulate

a specific case for which a statement is false

Two sentences including a conditional statement and the conjec…

If the hypothesis of one is the same as the conclusion of the…

through any two points, there exists only one line

Counterexample

a specific case for which a statement is false

Law of Detachment

Two sentences including a conditional statement and the conjec…

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

Midpoint

Segment Bisector

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

Two angles whose sides are opposite rays

A point that divides the segment into two congruent parts

The point, line, or ray that intersects at its midpoint

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…

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.

Segment Addition Postulate

Angle Addition Postulate

Supplement Theorem

Complement Theorem

States that given two points, such as A and C, the third point…

States that If point B lies in the interior of an angle then t…

If two angles are a linear pair, then they are supplementary (…

If the noncommon sides of two adjacent angles form a right ang…

Segment Addition Postulate

States that given two points, such as A and C, the third point…

Angle Addition Postulate

States that If point B lies in the interior of an angle then t…

Reflexive Property of Congruence

Symmetric Property of Congruence

Transitive Property of Congruence

Angle Addition Postulate

Figure A is congruent to figure A

If figure A is congruent to figure B, then figure B is congrue…

If figure A is congruent to figure B and figure B is congruent…

For any angle, the measure of the whole is equal to the sum of…

Reflexive Property of Congruence

Figure A is congruent to figure A

Symmetric Property of Congruence

If figure A is congruent to figure B, then figure B is congrue…

point

line

plane

Collinear points

has no dimension and is represented by a dot

has one dimension and is represented by a line with two arrowh…

has two dimensions. It is represented by a shape that looks li…

points that lie on the same line.

point

has no dimension and is represented by a dot

line

has one dimension and is represented by a line with two arrowh…

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

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…

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 //

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 //

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

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 m…

Congruent Segments

Segments whose lengths are equal

Congruent Angles

Angles whose measures are equal

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

Non-Vertical Lines Parallel Line Theorem

Non-Vertical Lines Perpendicular Line T…

Segment Addition Postulate

Angle Addition Postulate

Two non-vertical are parallel lines if and only if their slope…

Two non-vertical lines are perpendicular if and only if the pr…

Let A, B, & C, be collinear points. If B is between A & C, the…

If Point S is in the interior of Angle PQR, then m∠PQS + m∠SQR…

Non-Vertical Lines Parallel Line Theorem

Two non-vertical are parallel lines if and only if their slope…

Non-Vertical Lines Perpendicular Line T…

Two non-vertical lines are perpendicular if and only if the pr…

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 mi…

Congruent Segments

Segments whose length are equal

Congruent Angles

Angles whose measures are equal

Equilateral triangle

Equiangular triangle

Acute triangle

Scalene triangle

Triangle with all sides congruent

Triangle with all angles congruent

Triangle in which all sides are less than 90 degrees

Triangle with no two congruent sides

Equilateral triangle

Triangle with all sides congruent

Equiangular triangle

Triangle with all angles congruent