# Study sets matching "geometry postulates theorems postulates definitions"

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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°

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 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

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 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…

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 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 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°

Altitude

Geometric mean

SOH-CAH-TOA

Addition Property of Equality

a segment from a vertex of a triangle perpendicular to the lin…

A positive square root of the product of two numbers √(x)(y)

Sine: Opposite and Hypotenuse... Cosine: Adjacent and Hypotenuse…

If a=b then a+c=b+c

Altitude

a segment from a vertex of a triangle perpendicular to the lin…

Geometric mean

A positive square root of the product of two numbers √(x)(y)

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

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

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…