# 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…

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

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

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°

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

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…

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

Postulate 1

Postulate 2

Postulate 3

Postulate 4

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

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 r…

Postulate 2

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

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 segm…

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 segm…

skew lines

postulate 13 - parallel postulate

postulate 14- perpendicular postulate

transversal

do not intersect an are not coplanar

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

If there is a line and a point on the line, then there is exac…

a line that intersects two or more coplanar lines at different…

skew lines

do not intersect an are not coplanar

postulate 13 - parallel postulate

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

Segment Addition Postulate

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles Postulate

AB + BC = AC

a pair of angles between the two lines on alternate sides of t…

A pair of angles that are in the exterior and both on alternat…

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

Segment Addition Postulate

AB + BC = AC

Alternate Interior Angles

a pair of angles between the two lines on alternate sides of t…

Segment congruence postulate

Segment addition postulate

Angle congruence postulate

Angle addition postulate

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

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 o…

Segment congruence postulate

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

Segment addition postulate

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

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 degre…

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

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

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 degre…

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

def. of complementary angles

def. of supplementary angles

def. of vertical angles

def. of a transversal

two angles whose measures add up to 90

two angles whose measures add up to 180

two angles formed by intersecting lines and are facing the opp…

line that intersects two lines in the same plane at different…

def. of complementary angles

two angles whose measures add up to 90

def. of supplementary angles

two angles whose measures add up to 180

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°

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 diffe…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 d

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 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 exactl…

a line contains at least two points

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

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 exactl…

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