#### Study sets matching "properties postulates"

#### Study sets matching "properties postulates"

Ruler Postulate

Protractor Postulate

Angle Addition Postulate

Segment Addition Postulate

The distance between two point A and B is denoted by AB.

Given line AB and a point O on line AB. Consider rays OA and…

if B is in the interior of AOC, then. That is, the measure of…

If a point B lies on a line segment , then . That is, the dis…

Ruler Postulate

The distance between two point A and B is denoted by AB.

Protractor Postulate

Given line AB and a point O on line AB. Consider rays OA and…

symmetric

reflexive

transitive

substitution

What property is this?... If m∠1 = m∠2, then m∠2 = m∠1

What property is this?... m∠2 = m∠2

What property is this?... If Ef = GH and GH = IJ, then EF = IJ

What property is this?... If EF = 8 and EF = GH, then GH = 8

symmetric

What property is this?... If m∠1 = m∠2, then m∠2 = m∠1

reflexive

What property is this?... m∠2 = m∠2

reflexive property

transitive property

symmetric property

addition postulate

a value is equal to itself

if a=b & b=c, then a=c

if a=b then b=a

if equal quantities are added to equal quantities, then the s…

reflexive property

a value is equal to itself

transitive property

if a=b & b=c, then a=c

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. if AB+BC=AC, then B i…

the rays of the form OA can be matched one to one with the re…

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

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. if AB+BC=AC, then B i…

the substitution postulate

the partition postulate

the addition postulate

the subtraction postulate

A quantity may be substituted for its equal in any statement…

A whole is equal to the sum of its parts. A segment and an an…

if a=b and c=d then a+c=b+d. If congruent segments or angles…

if a=b and c=d then a-c=b-d, if equal quantities are subtract…

the substitution postulate

A quantity may be substituted for its equal in any statement…

the partition postulate

A whole is equal to the sum of its parts. A segment and an an…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

a=b A quantity is equal to itself.

if a=b then b=a A quantity maybe expressed in either order.

if a=b b=c then a=c quantities equal to the same quantity tha…

A quantity may be substitution for its equal in any statement…

Reflexive Property of Equality

a=b A quantity is equal to itself.

Symmetric Property of Equality

if a=b then b=a A quantity maybe expressed in either order.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

a=a A quantity is equal to itself.

If a=b, then b=a. A quantity may be expressed in either order.

If a=b,b=c, then a=c. Quantities equal to the same quantity a…

A quantity may be substituted for its equal in any statement…

Reflexive Property of Equality

a=a A quantity is equal to itself.

Symmetric Property of Equality

If a=b, then b=a. A quantity may be expressed in either order.

the substitution postulate

the partition postulate

the addition postulate

the subtraction postulate

A quantity may be substituted for its equal in any statement…

A whole is equal to the sum of its parts. A segment and an an…

if a=b and c=d then a+c=b+d. If congruent segments or angles…

if a=b and c=d then a-c=b-d, if equal quantities are subtract…

the substitution postulate

A quantity may be substituted for its equal in any statement…

the partition postulate

A whole is equal to the sum of its parts. A segment and an an…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

SUBSTITUTION POSTULATE

a=a Aqunantity is equal to itself

if a=b then b=a

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

A quantity may be substituted for its equal in any statement…

Reflexive Property of Equality

a=a Aqunantity is equal to itself

Symmetric Property of Equality

if a=b then b=a

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Substitution Postulate

A quantity is equal to itself.

A quantity may be expressed in any order.

If quantities are equal to the same quantity, then they are e…

A quantity may be substituted for its equal in any expression.

Reflexive Property of Equality

A quantity is equal to itself.

Symmetric Property of Equality

A quantity may be expressed in any order.

Addition Property of Equality

Division Property of Equality

Reflexive Property of Equality

Transitive Property of Equality

You can add the same number to each side of an equation.

You can divide each side of an equation by the same number.

A value equal to itself (reflection).

If two values are equal to a third value, then they are equal…

Addition Property of Equality

You can add the same number to each side of an equation.

Division Property of Equality

You can divide each side of an equation by the same number.

Postulate 5

Postulate 6

Postulate 7

Postulate 8

Through any two points there exists exactly one line.

A line contains at least two points.

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

Through any three noncollinear points, there exists exactly o…

Postulate 5

Through any two points there exists exactly one line.

Postulate 6

A line contains at least two points.

Reflexive property

Symmetric property

Addition postulate

Subtraction postulate

A quantity is congruent (equal) to itself

If A=B, then B=A

If equal quantities are added to equal quantities then the su…

If equal quantities are subtracted from equal quantities than…

Reflexive property

A quantity is congruent (equal) to itself

Symmetric property

If A=B, then B=A

Reflective Property of Equality

Symmetric Property of Equality

Transitive property of Equality

Substitution Postulate

a=a A quantity is equal to itself.

If a=b, then b=a. A quality may be expressed in either order

If a=b,b=c, then a=c, Quantities equal to the same quantity a…

A quantity may be substituted for its equal in any statement…

Reflective Property of Equality

a=a A quantity is equal to itself.

Symmetric Property of Equality

If a=b, then b=a. A quality may be expressed in either order

Postulates

Theorem

The reflexive property of equality

The symmetric property of equality

A statement that we accept its truth without proof

Statements that need to be proven by deductive reasoning

A quantity is equal to itself

Statement of equality can be expressed in any order

Postulates

A statement that we accept its truth without proof

Theorem

Statements that need to be proven by deductive reasoning

reflexive property of equality

symmetric property of equality

transitive property of equality

substitution postulate

a quantity is equal to itself

statements of equality can be expressed in any orders

...

a quantity can be substituted for its equal in any statement…

reflexive property of equality

a quantity is equal to itself

symmetric property of equality

statements of equality can be expressed in any orders

symmetric property

transitive property

substitution postulate

addition postulate

an equality may be reversed

quantities equal to the the same quantity are equal to each o…

equals can be substituted for each other

if equals are added to equals, their sum is equals

symmetric property

an equality may be reversed

transitive property

quantities equal to the the same quantity are equal to each o…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

The Substitution Postulate

a=a A quantity is equal to itself

If a=b, then b=a. A quantity may be expressed in either order.

If a=b, b=c, then a=c. Quantities equal to the same quantity…

A quantity may be substituted for its equal in any statement…

Reflexive Property of Equality

a=a A quantity is equal to itself

Symmetric Property of Equality

If a=b, then b=a. A quantity may be expressed in either order.

Postulate 5

Postulate 6

postulate 7

postulate 8

Through any two points there exist exactly one line.

A line contains at least two points

If two lines intersect then there intersection is exactly one…

Through any 3 noncollinear point there exist exactly 1 point

Postulate 5

Through any two points there exist exactly one line.

Postulate 6

A line contains at least two points