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

Study sets

Diagrams

Classes

Users

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Parallel Postulate

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

If P is in the interior of ∠RST, then m∠RST=m∠RST+m∠PST.

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

If there is a line and a point not on the line, then there is…

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of ∠RST, then m∠RST=m∠RST+m∠PST.

Segment Addition Postulate

Angle addition Postulate

SSS Postulate

SAS

If three points A, B, and C are collinear and B is between A a…

Two angles that are adjacent add to one larger angle

Side, Side, Side - Proving triangles congruent

Side, Angle, Side - Proving triangles congruent

Segment Addition Postulate

If three points A, B, and C are collinear and B is between A a…

Angle addition Postulate

Two angles that are adjacent add to one larger angle

Advertisement

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Corresponding Angles Postulate

The points on a line can be paired with real numbers in such a…

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

On AB is a given plane, choose any point O between A and B. Co…

If m is parallel to n with a transversal intersecting both, th…

Ruler Postulate

The points on a line can be paired with real numbers in such a…

Segment Addition Postulate

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

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

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…

altitude of a triangle

circumcenter of a triangle

incenter of a triangle

orthocenter of a triangle

a perpendicular segment from a vertex to the line containing t…

the point of concurrency of the perpendicular bisectors of a t…

the point of concurrency of the angle bisectors of a triangle

the point of concurrency of the three altitudes of a triangle

altitude of a triangle

a perpendicular segment from a vertex to the line containing t…

circumcenter of a triangle

the point of concurrency of the perpendicular bisectors of a t…

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

What is the difference between a postul…

Definition of Congruence

Segment Addition Postulate

Angle Addition Postulate

A postulate is something that cannot be proven.

if angles have equal measures, then they're congruent

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

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

What is the difference between a postul…

A postulate is something that cannot be proven.

Definition of Congruence

if angles have equal measures, then they're congruent

Theorem 9-1

Corollary (of Theorem 9-1)

Theorem 9-2

postulate 16

If a line is tangent to a circle, then the line is perpendicul…

Tangents to a circle from a point are congruent.

If a line in the plane of a circle is perpendicular to a radiu…

measure of the arc formed by two adjacent arcs is the sum of t…

Theorem 9-1

If a line is tangent to a circle, then the line is perpendicul…

Corollary (of Theorem 9-1)

Tangents to a circle from a point are congruent.

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

True

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

If B is between A and C in segment AC, then... AB + BC = AC

If D is in the interior of Angle ABC, then... (meas.)angle ABD +…

State whether the following statement is true or false: ... Throu…

Ruler Postulate

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

Segment Addition Postulate

If B is between A and C in segment AC, then... AB + BC = AC

Point

Line

Plane

Collinear

Names a location and has no size, represented by a dot... ex. Poi…

A straight path that has no thickness and extends forever... ex.…

A flat surface that has no thickness and extends forever... Ex. P…

Points that lie on the same line

Point

Names a location and has no size, represented by a dot... ex. Poi…

Line

A straight path that has no thickness and extends forever... ex.…

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…

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…

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 oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

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…

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

True

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

If B is between A and C in segment AC, then... AB + BC = AC

If D is in the interior of Angle ABC, then... (meas.)angle ABD +…

State whether the following statement is true or false: ... Throu…

Ruler Postulate

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

Segment Addition Postulate

If B is between A and C in segment AC, then... AB + BC = AC

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.

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

Addition Property of Equality/Congruence

Subtraction Property of Equality/Congru…

Multiplication Property of Equality/Con…

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

If you add to one side you have to do it to the other

If you subtract one side you have to do the same to the other

If you multiply on one side you have to do the same on the oth…

Segment Addition Postulate

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

Addition Property of Equality/Congruence

If you add to one side you have to do it to the other

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…

Advertisement

6

4-1

4-2

5-1

Through any two points there is exactly one line.

If two sides of a triangle are congruent, then the angles oppo…

If two angles of a triangle are congruent, then the sides oppo…

opposite sides of a parallelogram are congruent

6

Through any two points there is exactly one line.

4-1

If two sides of a triangle are congruent, then the angles oppo…

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…

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

Substitution Property of Equality

a=a

a=b, then b=a

if a=b and b=c, then a=c

if a=b, than a may be replaced with b

Reflexive Property of Equality

a=a

Symmetric Property of Equality

a=b, then b=a