#### 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 oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are con…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

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 th…

A bisector bisects a line segment at its midpoint which divide…

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 th…

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 in…

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 = m…

Ruler Postulate

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

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 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°

Definition of Midpoint

Vertical Angles Theorem

Reflexive property

Symmetric property

(Not def. Of congruent segments)

∠CXE=∠CXE

GH = KL so ... KL = GH

Definition of Midpoint

(Not def. Of congruent segments)

Vertical Angles Theorem

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 least…

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 conc…

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 conc…

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

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 a…

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 a…

Postulate 2 (Segment Addition Postulate)

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

theorem

postulate

definition

geometry

a statement that can be proved

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

assigns a term to an object. are always reversible

to take a series of facts to put in a logical way to reach a c…

theorem

a statement that can be proved

postulate

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

theorem

postulate

definition

segment bisector

a statement that can be proved

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

assigns a term to an object. are always reversible

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

theorem

a statement that can be proved

postulate

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

Definition of Midpoint

Vertical Angles Theorem

Reflexive property

Symmetric property

(Not def. Of congruent segments)

∠CXE=∠CXE

GH = KL so ... KL = GH

Definition of Midpoint

(Not def. Of congruent segments)

Vertical Angles Theorem

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 intersec…

Are planes that do not intersect.

Parallel Lines

Are coplanar lines and do not intersect.

Perpendicular Lines

Lines that intersect at 90 degree angles.

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 transv…

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

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

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 transv…

Postulate #1

Postulate #2

Postulate #3

Postulate #4

RULER POSTULATE... 1) The points on a line can be paired with the…

SEGMENT ADDITION POSTULATE... If B is between A and C, then... AB +…

PROTRACTOR POSTULATE... a.)__>OA is paired with 0, and __>OB with…

ANGLE ADDITION POSTULATE... If point B lies in the interior of <A…

Postulate #1

RULER POSTULATE... 1) The points on a line can be paired with the…

Postulate #2

SEGMENT ADDITION POSTULATE... If B is between A and C, then... AB +…

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

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 tw…

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.

if a conditional statement is true, the…

If two angles are right angles, then th…

If two angles are straight angles, then…

If angles are supplementary to the same…

if p, then q ⇔ if ~q, then ~p

all rt ∠s ≅

all st ∠s ≅

if supp to same ∠ → ≅

if a conditional statement is true, the…

if p, then q ⇔ if ~q, then ~p

If two angles are right angles, then th…

all rt ∠s ≅

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 cong…

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

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

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 ang…

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 ang…