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Midpoint theorem

Addition property of =

Subtraction property of =

Multiplication property of =

If M is the midpoint of segment AB, then segment AM ≅ MB.

If a=b, then a+c = a+b.

If a=b, then a-c = b-c.

If a=b, then a x c = b x c.

Midpoint theorem

If M is the midpoint of segment AB, then segment AM ≅ MB.

Addition property of =

If a=b, then a+c = a+b.

If two angles are right angles, then t…

If two angles are straight angles, the…

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 t…

Theorem

If two angles are straight angles, the…

Theorem

Postulate 1

Postulate 2

Postulate 3

Postulate 4

- Ruler Postulate... -points on a line can be paired w the real…

-if B is bw A and C, then... AB + BC = AC

-protractor postulate... -match rays w real numbers on a protrac…

-Angle Addition Postulate... -if point B lies in interior of an…

Postulate 1

- Ruler Postulate... -points on a line can be paired w the real…

Postulate 2

-if B is bw A and C, then... AB + BC = AC

Ruler Postulate

Segment Addition Postulate

Angle Addition Postulate

True

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

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: ... Thro…

Ruler Postulate

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

Segment Addition Postulate

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

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

The measure of ∠AOB, which can be written as m∠AOB, is equal…

If P is in the interior of ∠RST, then the measure of ∠RST is…

Ruler Postulate

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

Segment Addition Postulate

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

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent…

If 2 angles are complementary to the same angle or congruent…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

ruler postulate 1-2-1

segment addition postulate

protractor postulate

angle addition postulate

the points on a line can be put to a one-to-one correspondenc…

in order to say that a point is between 2 other points, then…

all rays can be drawn from point O and put into a one-to-one…

ruler postulate 1-2-1

the points on a line can be put to a one-to-one correspondenc…

segment addition postulate

in order to say that a point is between 2 other points, then…

Addition/subtraction property of =

Multiplication property of =

division property of =

substitution prop of =

if a=b and c=d then a+/-c= b+d

if a=b then ca=cb

if a=b and c≠0 then a/c=b/c

if a=b then either a or b may be substituted for the other in…

Addition/subtraction property of =

if a=b and c=d then a+/-c= b+d

Multiplication property of =

if a=b then ca=cb

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Line Postulate

If point B is between points 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, then the m∠AOB and t…

A line contains at least 2 points

Segment Addition Postulate

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

Protractor Postulate

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

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points, there is exactly one line.

If two distinct lines intersect, they intersect at exactly on…

If two distinct planes intersect, they intersect at exactly o…

Through any three non-collinear points, there is exactly one…

Postulate 1-1

Through any two points, there is exactly one line.

Postulate 1-2

If two distinct lines intersect, they intersect at exactly on…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Distance between A and B, written as AB, is the absolute valu…

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

The measure of angle AOB, is equal to the absolute value of t…

If B is in the interior of angle AOC, then the measure of ang…

Ruler Postulate

Distance between A and B, written as AB, is the absolute valu…

Segment Addition Postulate

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

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 (a)(c) = (b)(c)

If a = b, c not equal to "zero", 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

law of detachment

law of syllogism

postulate 5

postulate 6

if P implies Q is a true conditional statement and P is true,…

if P implies Q and Q implies R is true, then P implies R.

through any two points there exists exactly one line.

a line contains at least two points.

law of detachment

if P implies Q is a true conditional statement and P is true,…

law of syllogism

if P implies Q and Q implies R is true, then P implies R.

coordinate midpoint property

segment additive property

angle addition property

linear pair theorem

if B is between A & C,... then AB+BC=AC

if D is on the interior of Angle ABC,... then m Angle ABD + m An…

if two angles form a linear pair,... then the two angles are sup…

coordinate midpoint property

segment additive property

if B is between A & C,... then AB+BC=AC

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 a•c=b•c

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

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.

Ruler Postulate

Angle defintion

Protractor Postulate

Angle Addition Postulate

There is a point on the number line for every real number.

An angle is formed by two rays with the same endpoint. The ra…

Any angle can be measured by a protractor.

Adding two angles to make a bigger angle.

Ruler Postulate

There is a point on the number line for every real number.

Angle defintion

An angle is formed by two rays with the same endpoint. The ra…

segment addition postulate (2)

angle addition postulate (4)

postulate 5

postulate 6

if B is between A and C, then AB + BC = AC... if AB + BC = AC, t…

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

through any two points there exists exactly one line

a line contains at least two points

segment addition postulate (2)

if B is between A and C, then AB + BC = AC... if AB + BC = AC, t…

angle addition postulate (4)

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

Postulate 1-1-1

Postulate 1-1-2

Postulate 1-1-3

Postulate 1-1-4

Through any two points there is exactly one line

Through any three noncollinear points there is exactly one pl…

If two points lie in a plane, then the line containing those…

If two lines intersect, then they intersect in exactly one po…

Postulate 1-1-1

Through any two points there is exactly one line

Postulate 1-1-2

Through any three noncollinear points there is exactly one pl…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

Consider OB and a point A on one side of OB. The rays of the…

If P is the interior of angleRST, then the measure of angleRS…

Ruler Postulate

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

Segment Addition Postulate

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

Segment Addition Postulate

AM + MB = AB

Definition of a Midpoint

If M is the midpoint of AB, then AM = MB

AM + MB = AB

Segment Addition Postulate

If M is the midpoint of AB, then AM = MB

Definition of a Midpoint

Segment Addition Postulate

AM + MB = AB

AM + MB = AB

Segment Addition Postulate

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

...

...

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 5

Postulate 6

Postulate 7

Postulate 8

(1) A line contains at least two points (2) A plane contains…

Through any two points there is exactly one line.

(1) Through any three points there is at least one plane (2)…

If two points are in a plane, then the line that contains the…

Postulate 5

(1) A line contains at least two points (2) A plane contains…

Postulate 6

Through any two points there is exactly one line.

Reflexive

Symmetric

Transitive

Addition property

Anything equals itself. AB=AB

If a=b then b=a

If a=b and b=c then a=c

Add the same thing to both sides. If AB=CD, then AB + EF = CD…

Reflexive

Anything equals itself. AB=AB

Symmetric

If a=b then b=a

theorem 1

theorem 2

theorem 3

theorem 4

If two angles are right angles, then they are congruent

if two angles are straight angles, then they are congruent

If a conditional statement is true, the the contrapositive of…

If angles are supplementary to the same angle, then they are…

theorem 1

If two angles are right angles, then they are congruent

theorem 2

if two angles are straight angles, then they are congruent

ruler postulate

segment addition postulate

protractor postulate

angle addition postulate

the distance between points A and B, written as AB, is the ab…

if B is between A and C, then AB+BC=AC. if AB+BC=AC, the B is…

the measure of ∠AOB, which can be written as m∠AOB, is equal…

if b is in the interior of ∠COA, then m∠COA is equal to the s…

ruler postulate

the distance between points A and B, written as AB, is the ab…

segment addition postulate

if B is between A and C, then AB+BC=AC. if AB+BC=AC, the B is…

Definition of Congruent Segments

Definition of Congruent Angles

Segment Addition Postulate

Definition of Midpoint

If AB≅XY Then AB=XY

If ∠1≅∠3 Then m∠1=m∠3

I B is between A and C Then AB+BC_AC

If M is the midpoint of AB Then AM = MB

Definition of Congruent Segments

If AB≅XY Then AB=XY

Definition of Congruent Angles

If ∠1≅∠3 Then m∠1=m∠3

Midpoint definition

Segment bisector definition

Congruent segments definition

Angle addition postulate

A point that divides the segment into two congruent segments

a point, line, ray, or other segment that intersects a segmen…

Segments that have the same length

Two little angles make one big angle

Midpoint definition

A point that divides the segment into two congruent segments

Segment bisector definition

a point, line, ray, or other segment that intersects a segmen…

Definition of congruent segments

Definition of congruent angles

Definition of right angle

Definition of linear pair

1. If segments are congruent, then they have the same measure…

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

1. If an angle has a measure of 90 degrees, then it is a righ…

1. If angles are adjacent angles and are formed by opposite r…

Definition of congruent segments

1. If segments are congruent, then they have the same measure…

Definition of congruent angles

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

Perpendicular lines

postulate 5

Postulate 6

Postulate 7

when two lines intersect to form a right angle

Through any two points there exists exactly one lime

A line contains at least two points

If two lines intersect, then their intersection is exactly on…

Perpendicular lines

when two lines intersect to form a right angle

postulate 5

Through any two points there exists exactly one lime

reflexive propety

symmetric property

transitive property

addition postulate

a quantity is congruent to itself (a=a)

If a=b, then b=a

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

if equal quantities are added to equal quantities, the sums a…

reflexive propety

a quantity is congruent to itself (a=a)

symmetric property

If a=b, then b=a

Segment Addition Postulate

Angle Addition Postulate

Two-Point Postulate

Line-Point Postulate

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

If P is in the interior of ∠RST, then the measure of ∠RST is…

Through any two points, there is exactly one line.

A line contains at least two points.

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of ∠RST, then the measure of ∠RST is…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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

The measure of ∠AOB, which can be written as m∠AOB, is equal…

If P is in the interior of ∠RST, then the measure of ∠RST is…

Ruler Postulate

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

Segment Addition Postulate

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

reflexive property

symmetric property

transitive property

postulate

a quantity is equal to itself

an equation may be expressed in either order

if quantities are equal to the same quantity, they are equal…

a statement whose truth is accepted without proof

reflexive property

a quantity is equal to itself

symmetric property

an equation may be expressed in either order

Given two points...

Ruler Postulate

On a ray, there is exactly one point t…

If M is the midpoint of segment AB,

there is a unique distance between them.

There is a one to one correspondence between the two points o…

a given distance from the endpoint of the ray.

then 2AM = AB and AM = 1/2 AB.

Given two points...

there is a unique distance between them.

Ruler Postulate

There is a one to one correspondence between the two points o…

Postulate 5

Postulate 6

Postulate 8

Postulate 9

Through any 2 points there exists exactly one line

A line contains at least 2 points

Through any 3 non-collinear points there exists exactly one p…

A plane contains at least 3 noncollinear points

Postulate 5

Through any 2 points there exists exactly one line

Postulate 6

A line contains at least 2 points

Addition property

subtraction property

multiplication property

division property

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

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

if a=b, then a**c=b**c

if a=b and c does not equal 0, then a/c = b/c

Addition property

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

subtraction property

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Perpendicular Lines

A=A

A=B... B=A

If A=B & B=C, then A=C

Lines that intersect and form right angles

Reflexive Property of Equality

A=A

Symmetric Property of Equality

A=B... B=A

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The point on a line can be matched one to one with real numbers

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

m∠OAB is equal to the absolute value of the difference betwee…

If P id in the interior of ∠RST, then m∠RST = m∠RSP + ∠

Ruler Postulate

The point on a line can be matched one to one with real numbers

Segment Addition Postulate

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

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 is not equal to zero 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

Ruler Postulate

Congruent Segments

Segment Addition Postulate

A subject we accept as being true without truly proving it

You can find the distance between any two point on a line.

Two segments that have the same length

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

Postulate

A subject we accept as being true without truly proving it

Ruler Postulate

You can find the distance between any two point on a line.

Segment Addition Postulate

Angle Addition Postulate

Conditional Definition

Definition of Linear Pair

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

If P is in the interior of angle RST, then angle RSP + angle…

If p then q

When the non shared sides of two adjacent angles form opposit…

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of angle RST, then angle RSP + angle…

Addition Property

Subtraction Property

Multiplication Property

Division Property

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

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

Subtraction Property

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

Linear Pair Postulate

vertical angles theorem

Protractor Postulate

Angle Addition Postulate

if 2 angles form a linear pair, then they are supplementary

vertical angles are congruent

every angles has a degree measure that can be measured with a…

if B is the interior of /_ AOC then m/_AOB + m/_BOC = /_AOC

Linear Pair Postulate

if 2 angles form a linear pair, then they are supplementary

vertical angles theorem

vertical angles are congruent

If two angles are supplementary to the…

If two angles form a linear pair, then…

If two angles are complementary to the…

All right angles are congurent

Congruent Supplements Theorem

Linear Pair Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

If two angles are supplementary to the…

Congruent Supplements Theorem

If two angles form a linear pair, then…

Linear Pair Theorem

Complementary Angles

Congruent Angles

Congruent Complements Theorem

Congruent Segments

Two angles whose measures have the sum of 90 degrees.

Angles that have the same measure.

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

Segments that have the same length.

Complementary Angles

Two angles whose measures have the sum of 90 degrees.

Congruent Angles

Angles that have the same measure.

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Every line segment has a length that can be measured with a r…

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

Every angle has a degree measure that can be measured with a…

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

Ruler Postulate

Every line segment has a length that can be measured with a r…

Segment Addition Postulate

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

Segment addiction postulate

Angle addition postulate

Supplement theorem

Complement theorem

If A, B, and C are collinear, then point B is between A and C…

D is in the interior of <ABC if and only if m<ABD + m<DBC = m…

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

If the non common sides of two adjacent angles form a right a…

Segment addiction postulate

If A, B, and C are collinear, then point B is between A and C…

Angle addition postulate

D is in the interior of <ABC if and only if m<ABD + m<DBC = m…

supplement theorem

SAP

point-line postulate

point-plane theorem

supplements of congruent angles (or the same angle) are congr…

if AB = CD, then AB + BC = BC + CD

given any two points, there exists exactly one line containin…

given any three non-collinear points there exists exactly one…

supplement theorem

supplements of congruent angles (or the same angle) are congr…

SAP

if AB = CD, then AB + BC = BC + CD