# Study sets matching "geometry theorems and definitions postulates properties"

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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

Ruler Postulate

Segment Addition Postulate

Definition of a midpoint of a segment

Definition of a bisector of a segment

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

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

The point that divides the segment into two congruent segments…

The line, segment, ray, or plane that intersects the segment a…

Ruler Postulate

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

Segment Addition Postulate

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

Definiton of a Midpoint

Definiton of Bisects

Flat plane postulate

Right Angle Theorem

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

2 EQUAL PARTS... Segment Bisector... Angle Bisector

If 2 points are on a plane, then the line containing those poi…

All right angles are congruent

Definiton of a Midpoint

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

Definiton of Bisects

2 EQUAL PARTS... Segment Bisector... Angle Bisector

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Always - Sometimes - Never: Two planes…

Always - Sometimes - Never: Perpendicul…

Always-Sometimes-Never: Two noncollinea…

If b - 7 = 7, then b = 14.

Sometimes - 2 planes don't always intersect

Always - perpendicular lines intersect and form right angles

Never - 3 noncollinear points form a plane

Addition Propertry of Equality

Always - Sometimes - Never: Two planes…

Sometimes - 2 planes don't always intersect

Always - Sometimes - Never: Perpendicul…

Always - perpendicular lines intersect and form right angles

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

subtraction property

multiplication property

division property

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

addition property

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

subtraction property

Cross Product Property of proportions

Reciprocal property of proportions

Switching Property of proportions

Add property of proportions

The product of the extremes equals the product of the means. I…

If 2 ratios are equal then their reciprocals are also equal. I…

If a/b=c/d, then a/c=b/d

If a/b=c/d, then a+b/b=c+d/d

Cross Product Property of proportions

The product of the extremes equals the product of the means. I…

Reciprocal property of proportions

If 2 ratios are equal then their reciprocals are also equal. I…

addition property

subtraction property

multiplication property

division property

States that when both sides of an equation are added by the sa…

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

States that when both sides of an equation are multiplied by t…

States that when both sides of an equation are divided by the…

addition property

States that when both sides of an equation are added by the sa…

subtraction property

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

Definition of congruent segments

Definition of congruent angles

Definition of segment bisector

Definition of angle bisector

two segments that are equal

two angles that have equal measure

intersects at the midpoint

ray that divides two adjacent angles into two congruent angles

Definition of congruent segments

two segments that are equal

Definition of congruent angles

two angles that have equal measure

Transitive property of equality/ congru…

Reflexive property of equality/ congrue…

symmetric property of equality/ congrue…

addition property of equality

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

a=a

if a=b then b=a

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

Transitive property of equality/ congru…

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

Reflexive property of equality/ congrue…

a=a

Identity Properties

Commutative Properties

Associative Properties

Inverse Properties

Addition- a+0=a and 0+a=a... Multiplication- a

**1=a 1**a=aAddition- a+b=b+a... Multiplication- a

**b=b**aAddition- (a+b)+c=a+(b+c)... Multiplication- (a

**b)**c=a**(b**c)Addition- the sum of another number and its opposite, or addit…

Identity Properties

Addition- a+0=a and 0+a=a... Multiplication- a

**1=a 1**a=aCommutative Properties

Addition- a+b=b+a... Multiplication- a

**b=b**acommutative property of addition

distributive property

addition property of equality

subtraction property of equality

a + b = b +a

a(b + c) = ab + ac

If a = b and c = d, then a + c = b + d

If a = b and c = d, then a - c = b - d

commutative property of addition

a + b = b +a

distributive property

a(b + c) = ab + ac

Reflexive Property of Equality/Congruen…

Symmetric Property of Equality/Congruen…

Transitive Property of Equality/Congrue…

Substitution Property of Equality

A quantity/geometric figure is equal to itself

An Equality/Congruence may be reversed

If quantities/geometric figures are equal/congruent to the sam…

A quantity may be substituted for its equal in any expression

Reflexive Property of Equality/Congruen…

A quantity/geometric figure is equal to itself

Symmetric Property of Equality/Congruen…

An Equality/Congruence may be reversed

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

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 ac=bc

if a=b and c≠0, then c÷a=c÷b

Addition Property of Equality

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

Subtraction Property of Equality

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

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Corresponding Angles Postulate

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 = m∠RSP + m∠PST.

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

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

Segment Addition Postulate

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

Angle Addition Postulate

If P is in the interior of ∠RST, then m∠RST = m∠RSP + m∠PST.

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

Two Point Postulate

Right Angles

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

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

Through any two points, there exists exactly one line.

If angles are right, then they are congruent.... <CBA and <DBA ar…

Segment Addition Postulate

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

Angle Addition Postulate

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

Definition of Congruent

Definition of Midpoint

Definition of Bisector

Segment Addition Postulate

Segments are congruent if and only if the distance between the…

A point on a segment is the midpoint if it divides the segment…

A segment is bisected if and only if it is divided into 2 cong…

If B is between A and C (points must be collinear), then AB +…

Definition of Congruent

Segments are congruent if and only if the distance between the…

Definition of Midpoint

A point on a segment is the midpoint if it divides the segment…

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 P…

If p then q

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

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 P…

Postulate

Corresponding Angles Postulate

Properties of a rhombus

Properties of a rectangle

Or axiom, is a statement that is accepted as true without proo…

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

If a quadrilateral is a rhombus, then it is a parallelogram ... I…

If a quadrilateral is a rectangle, then it is a parallelogram…

Postulate

Or axiom, is a statement that is accepted as true without proo…

Corresponding Angles Postulate

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

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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 Ang…

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

coordinate midpoint property

segment additive property

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

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

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

If a = b, then a(c) = b(c)

If a = b and c doesn't equal zero, then…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of equality

Division Property of Equality

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

Addition Property of Equality

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

Subtraction Property of Equality

definition of congruent segments

definition of congruent angles

definition of a right angle

definition of midpoint

segment AB is congruent to segment CD ... AB = CD

m<ABC=m<DEF... <ABC=<DEF

<ABC is a right angle ... m<ABC = 90 degrees

M is the midpoint of segment AB ... segment AM is congruent to se…

definition of congruent segments

segment AB is congruent to segment CD ... AB = CD

definition of congruent angles

m<ABC=m<DEF... <ABC=<DEF

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be put into a one-to-one corresponden…

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

Given line AB and point O on line AB, all rays that can be dra…

If S is in the interior of <PQR, then m<PQS + m<SQR = m<PQR

Ruler Postulate

The points on a line can be put into a one-to-one corresponden…

Segment Addition Postulate

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