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

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

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°

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…

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

1. The points on a line can be paired with the real numbers i…

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

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

If point B lies in the interior of <AOC, the m<AOB a m<BOC =…

Ruler Postulate

1. The points on a line can be paired with the real numbers i…

Segment Addition Postulate

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

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°

Segment addition postulate

Angle addition postulate

Postulate 5

Postulate 6

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

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

A line contains at least two points; a plane contains at leas…

Through any two points there is exactly one line.

Segment addition postulate

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

Angle addition postulate

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

Linear Pair Postulate

Law of Detachment (word definition)

Law of Detachment (symbolic form)

Law of Syllogism (symbolic form)

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

If the hypothesis of a true conditional is true, then the con…

If p --> q is true and p is true, then q is true.

If p --> q is true and q --> r is true, then p --> r is true.

Linear Pair Postulate

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

Law of Detachment (word definition)

If the hypothesis of a true conditional is true, then the con…

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

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

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 paired with real numbers in such…

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

If in <QOA, Ray OP lies inside of the angle, ... <QOP=<QOA-<POA

If point B lies on the interior of angle AOC, then angle AOB+…

Postulate 1 (Ruler Postulate)

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

Postulate 2 (Segment Addition Postulate)

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

theorem

postulate

definition

segment bisector

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

segment,ray,line, plane that divides a segment into two congr…

theorem

a statement that can be proved

postulate

something we don't need to prove, uses past information to ba…

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…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Parallel Lines

Perpendicular Lines

Skew Lines

Parallel Planes

Are coplanar lines and do not intersect.

Lines that intersect at 90 degree angles.

Lines that are not coplanar, not parallel, and do not interse…

Are planes that do not intersect.

Parallel Lines

Are coplanar lines and do not intersect.

Perpendicular Lines

Lines that intersect at 90 degree angles.

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Complementary Angles

Supplementary Angles

Theorem

Vertical Angles

Two angles whose measures have a sum of 90

Two angles whose measures have a sum of 180

A statement that can be proven

Tow 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 whose measures have a sum of 180

Perpendicular Lines

Angle Bisector

Midpoint

Congruent Angles

two lines that intersect to form right angles

The ray that divides the angle into two congruent adjacent an…

The point that divides the segment into two congruent segments

Angles that have equal measure

Perpendicular Lines

two lines that intersect to form right angles

Angle Bisector

The ray that divides the angle into two congruent adjacent an…

complementary angles

congruent angles

congruent complements theorem

congruent segments

two angles whose measures have a sum of 90 degrees

angles that have the same measure

if two angles are complementary to the same angle or to congr…

segments have the same length

complementary angles

two angles whose measures have a sum of 90 degrees

congruent angles

angles that have the same measure

Vertical Angles

Angle Bisector

Segment Bisector

Midpoint

Two angles whose sides form two pairs of opposite rays.

A ray that divides an angle into two adjacent angles that are…

Anything that intersects a segment at its midpoint.

The point that divides or bisects a segment into two congruen…

Vertical Angles

Two angles whose sides form two pairs of opposite rays.

Angle Bisector

A ray that divides an angle into two adjacent angles that are…

Segment Addition Postulate

Definition of Congruent Angles/Segments

Definition of a Midpoint

Definition of Bisector

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

Angles/Segments of Equal Length

Point that is the middle of two congruent segments

Line/segment/ray/plane that intersects the segment at its mid…

Segment Addition Postulate

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

Definition of Congruent Angles/Segments

Angles/Segments of Equal Length

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Segment congruence postulate

Segment addition postulate

Angle congruence postulate

Angle addition postulate

If two segements have the same length as measured by a fair r…

If point R is between points P and Q on a line then; PR + RQ…

If two angles have the same measure, then they are congruent.…

If point S is in the interior of angle PQR, then the measure…

Segment congruence postulate

If two segements have the same length as measured by a fair r…

Segment addition postulate

If point R is between points P and Q on a line then; PR + RQ…

Addition Property

Subtraction Property

Multiplication Property

Division Property

Adding on both sides of the equal sign

Subtracting on both sides of the equal sign

Multiplying on both sides of the equal sign

Dividing on both sides of the equal sign

Addition Property

Adding on both sides of the equal sign

Subtraction Property

Subtracting on both sides of the equal sign

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 paired with real numbers in such…

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

If in <QOA, Ray OP lies inside of the angle, ... <QOP=<QOA-<POA

If point B lies on the interior of angle AOC, then angle AOB+…

Postulate 1 (Ruler Postulate)

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

Postulate 2 (Segment Addition Postulate)

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

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 d

a statement that can be proven

4 angles formed by intersecting lines and facing in four diff…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 d

postulate 2.1

postulate 2.2

postulate 2.3

postulate 2.4

through any two points, there is exactly one point

through any three points not on the same line, there is exact…

a line contains at least two points

a plane contains at least three points not on the same line... p…

postulate 2.1

through any two points, there is exactly one point

postulate 2.2

through any three points not on the same line, there is exact…

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Through any two points...

If two distinct lines intersect,

If two distinct planes intersect,

Through any three noncollinear points...

there is exactly one line.

then they intersect in exactly one point.

then they intersect in exactly one line.

there is exactly one plane.

Through any two points...

there is exactly one line.

If two distinct lines intersect,

then they intersect in exactly one point.

Congruent triangles

All pairs of corresponding parts are c…

Congruent polygons

All pairs of corresponding parts are c…

All pairs of corresponding parts are congruent

Congruent triangles

All pairs of corresponding parts are corresponding parts are…

Congruent polygons

Congruent triangles

All pairs of corresponding parts are congruent

All pairs of corresponding parts are c…

Congruent triangles

Addition Property

Subtraction Property

Multiplication Property

Division Property

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

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

if a=b then ca=cb

if a=b then a/c=b/c where c doesn't = 0

Addition Property

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

Subtraction Property

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

Definition of Supplementary Angles

Definition of Alternate Interior Angles

Definition of Alternate Exterior angles

Definition of Corresponding Angles

2 angles whose measures have a sum of 180 degrees

2 non-adjacent angles that lie on opposite sides of the trans…

2 angles who are on opposite sides of the transversal and out…

2 angles who are on the same side of the transversal and the…

Definition of Supplementary Angles

2 angles whose measures have a sum of 180 degrees

Definition of Alternate Interior Angles

2 non-adjacent angles that lie on opposite sides of the trans…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Segment Addition Postulate

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Def. of Congruent

Def. of Midpoint

Def. of Segment bisector

Def. of Acute angle

If 2 segments, or angles equal each other they are congruent.

A point on a line segment that divides it into two equal parts.

A line, ray or segment which cuts another line segment into t…

An angle that is less than 90 degrees.

Def. of Congruent

If 2 segments, or angles equal each other they are congruent.

Def. of Midpoint

A point on a line segment that divides it into two equal parts.

Addition Prop of =

Subtraction Prop of =

Multiplication Prop of =

Division Prop of =

If a=b and c=d then a+c=b+d

If a=b and c=d then a-c=b-d

if a=b then ca=cb

a=b and c≠0 then a/c=b/c

Addition Prop of =

If a=b and c=d then a+c=b+d

Subtraction Prop of =

If a=b and c=d then a-c=b-d

Midpoint Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If M is the midpoint of ĀB, then ĀM~MB

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

If two angles are supplementary to the same angle (or two con…

If two angles are complementary to the same angle (or two con…

Midpoint Theorem

If M is the midpoint of ĀB, then ĀM~MB

Linear Pair Theorem

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

if a conditional statement is true, th…

If two angles are right angles, then t…

If two angles are straight angles, the…

If angles are supplementary to the sam…

if p, then q ⇔ if ~q, then ~p

all rt ∠s ≅

all st ∠s ≅

if supp to same ∠ → ≅

if a conditional statement is true, th…

if p, then q ⇔ if ~q, then ~p

If two angles are right angles, then t…

all rt ∠s ≅

Definition

Postulate

Theorem

Line Segment

a list of properties an object must have

a basic assumption

a statement that has been proven true

two points on a line and all points that lie between them

Definition

a list of properties an object must have

Postulate

a basic assumption

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

segment addition postulate

definition of a midpoint

angle addition postulate

definition of a bisector

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

a point that bisects/divides the segment into 2 congruent seg…

if S is in the interior of angle PQR then PQS+SQR=PQR

a ray that divides an angle into 2 congruent segments

segment addition postulate

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

definition of a midpoint

a point that bisects/divides the segment into 2 congruent seg…

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Subtractive Property of equality

If point B lies on a line segment AC then AB+BC= AC

Variable that lies on the interior of angle then add the degr…

Two angles are a linear pair if the angles are adjacent and t…

States that when both sides of an equation have the same numb…

Segment Addition Postulate

If point B lies on a line segment AC then AB+BC= AC

Angle Addition Postulate

Variable that lies on the interior of angle then add the degr…

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, choose any…

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…