# Study sets matching "honors theorems postulates geometry postulates theorems"

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Math

Geometry

Conjecture

Inductive reasoning

The Science of patterns

The science of visual patterns

An unproven statement based on observations

A reasoning process that involved looking for patterns and mak…

Math

The Science of patterns

Geometry

The science of visual patterns

Vertical Angles Theorem

Congruent Supplements Theorem

Corresponding Angles Postulate

Alternating Exterior Angles Theorem

If two angles form a pair or verticle angles, then they're con…

If two angles are supplements of congruent angles, then the tw…

If two lines cut by a transversal are parallel, then correspon…

If two lines cut by a transversal are parallel, then alternate…

Vertical Angles Theorem

If two angles form a pair or verticle angles, then they're con…

Congruent Supplements Theorem

If two angles are supplements of congruent angles, then the tw…

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 ang…

If two lines are cut by a transversal so the alternate interio…

if two lines are cut by a transversal so the alternate exterio…

If two lines are cut by a transversal so the consecutive inter…

Corresponding Angles Converse

If two lines are cut by a transversal so the corresponding ang…

Alternate Interior Angles Converse

If two lines are cut by a transversal so the alternate interio…

2.1

2.2

2.3

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

2.1

through any two points, there is exactly one line

2.2

through any three non-collinear points, there is exactly one p…

Trichotomy Property

Distance Postulate

Ruler Postulate

Ruler Placement Postulate

For every x and every y, one and only one of the following is…

to every pair of points, there corresponds a unique positive n…

the points of a line can be placed in correspondence with the…

given 2 points, P and Q, of a line, the coordinate system can…

Trichotomy Property

For every x and every y, one and only one of the following is…

Distance Postulate

to every pair of points, there corresponds a unique positive n…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Th 2-1 Midpoint Theorem

Th 2-2 Angle Bisector Theorem

Th 2-3 Vertical Angle Theorem

Th 2-4

If M is the midpoint of segment AB, then AM= 1/2 AB and MB= 1/…

If ray BX is the bisector of angle ABC, the the measure of ang…

Vertical angles are congruent

If 2 lines are perpendicular, then they form congruent adjacen…

Th 2-1 Midpoint Theorem

If M is the midpoint of segment AB, then AM= 1/2 AB and MB= 1/…

Th 2-2 Angle Bisector Theorem

If ray BX is the bisector of angle ABC, the the measure of ang…

Angle-Side-Angle Congruence Theorem (AS…

Postulate

Theorem

Angle-Angle-Side Congruence Theorem (AA…

If two angles and a side between them are congruent in two dif…

A rule that we accept to be true.

A rule that has been proven to be true.

If two angles and a side not between them are congruent in two…

Angle-Side-Angle Congruence Theorem (AS…

If two angles and a side between them are congruent in two dif…

Postulate

A rule that we accept to be true.

Geometric mean

Theorem 1

Theorem 2

Theorem 3

A positive number x such that a/x = x/b, a must be positive

If the altitude is drawn from the vertex of the right angle of…

The measure of the altitude drawn from the vertex of the right…

If the altitude is drawn from the vertex off the right angle o…

Geometric mean

A positive number x such that a/x = x/b, a must be positive

Theorem 1

If the altitude is drawn from the vertex of the right angle of…

angle addition postulate

corresponding angles postulate

converse of the corresponding angles po…

alternate interior angles theorem

if B is the interior of <AOC, then m<AOB + m<COB = m<AOC

if two parallel lines are cut by a transversal, then the pairs…

if two coplanar lines are cut by a transversal so that a pair…

if two parallel lines are cut by a transversal, then the pairs…

angle addition postulate

if B is the interior of <AOC, then m<AOB + m<COB = m<AOC

corresponding angles postulate

if two parallel lines are cut by a transversal, then the pairs…

Rubberband Postulate

Tripod Postulate

Angle Addition Postulate

Ruler Postulate

If two points lie in a plane, then there is exactly one line c…

If there exist three non-collinear points, then there is exact…

if we have two adjacent angles, their measures can be added to…

Points on a line are numbered such that... a) Every point has a n…

Rubberband Postulate

If two points lie in a plane, then there is exactly one line c…

Tripod Postulate

If there exist three non-collinear points, then there is exact…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Conclusion

Conditional Statement

Conjecture

Contrapositive

In a conditional statement (if-then statement), the statement…

A statement written in an if then form... A statement of the form…

An educated guess based on known information... pg 78

The statement formed by negating both the hypothesis(educated…

Conclusion

In a conditional statement (if-then statement), the statement…

Conditional Statement

A statement written in an if then form... A statement of the form…

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 ac = bc

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

If two angles are right angles, then th…

If two angles are straight angles, then…

If angles or segments are congruent to…

If angles or segments are congruent to…

Theorem

Theorem

Theorem

Theorem

If two angles are right angles, then th…

Theorem

If two angles are straight angles, then…

Theorem

Theorem 3.3

Theorem 3.4

Theorem 3.5

Postulate 15 Corresponding Angles Postu…

If two lines are perpendicular, then they intersect to form fo…

All right angles are congruent

If two lines intersect to form a pair of adjacent congruent an…

If two parallel lines are cut by a transversal, then the pairs…

Theorem 3.3

If two lines are perpendicular, then they intersect to form fo…

Theorem 3.4

All right angles are congruent

Segment Addition Postulate

Angle Addition Postulate

Pythagorean Theorem

Linear Pair Theorem

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

If S is in the interior of angle PQR, then the mPQR+mSQR=mPQR

In a right triagle, the sum of the squares of the lengths of t…

If two angles form a linear pair, then they are suplementary

Segment Addition Postulate

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

Angle Addition Postulate

If S is in the interior of angle PQR, then the mPQR+mSQR=mPQR

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Ruler Postulate:... The points on a line can be paired with the…

Segment Addition Postulate:... If B is between A and C, then AB…

Protractor Postulate:... On Line AB in a given plane, rays can b…

Angle Addition Postulate:... If Point B lies in the interior of…

Postulate 1

Ruler Postulate:... The points on a line can be paired with the…

Postulate 2

Segment Addition Postulate:... If B is between A and C, then AB…

3 undefined terms

Definitions

Postulates

Theorems

Point, line, plane

-Stated for ideas, as clear and exact as possible... -Establish t…

-simplest and most fundamental statements ... -Given WITHOUT PROO…

Statements that are proven ... -When proven, you show that it fol…

3 undefined terms

Point, line, plane

Definitions

-Stated for ideas, as clear and exact as possible... -Establish t…

Through any two points...

Through any three noncollinear points...

A line consists of...

A plane contains at least...

there is exactly one line

there is exactly one plane

a least 2 points

3 noncollinear points

Through any two points...

there is exactly one line

Through any three noncollinear points...

there is exactly one plane

Postulate 1 (Ruler postulate)

Postulate 2 (segment addition postulate)

Postulate 3 (protractor postulate)

Postulate 4 (angle addition postulate)

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

If B is between A and C, the AB + BC = AC. If AB + BC = AC, th…

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

Postulate 1 (Ruler postulate)

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

Postulate 2 (segment addition postulate)

If B is between A and C, the AB + BC = AC. If AB + BC = AC, th…

If two angles are right angles, then th…

If two angles are straight angles, then…

If angles or segments are congruent to…

If angles or segments are congruent to…

Theorem

Theorem

Theorem

Theorem

If two angles are right angles, then th…

Theorem

If two angles are straight angles, then…

Theorem

The Ruler Postulate

The Protractor Postulate

Segment Addition Postulate/The Betweenn…

Angle Addition Postulate/The Betweennes…

points on a line can be numbered so that positive number diffe…

you can measure angles

If A-B-C, then AB + BC = AC

∠AOB + ∠BOC = ∠AOC

The Ruler Postulate

points on a line can be numbered so that positive number diffe…

The Protractor Postulate

you can measure angles