# Study sets matching "postulates geometry 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

Reflexive Property

Symmetric Property

Transitive Property

Addition Postulate

A quantity is congruent (equal) 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 ar…

Reflexive Property

A quantity is congruent (equal) to itself. a = a

Symmetric Property

If a=b, then b=a

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…

Vertical Angles

Linear Pair Postulate

Triangle Sum Theorem

Definition of Complementary

Vertical Angles are congruent

Angles that forma a linear pair are supplementary

the sum of the interior angles of a triangle is 180 degrees

two angles whose measures add to 90 degrees

Vertical Angles

Vertical Angles are congruent

Linear Pair Postulate

Angles that forma a linear pair are supplementary

Reflexive Property

Symmetric Property

Transitive Property

Congruent Supplementaries

When anything is congruent or equal to itself

When you switch the order of two things that are congruent or…

If A equals B and B equals C then A equals C

If two angles are supplements of the same angle then they are…

Reflexive Property

When anything is congruent or equal to itself

Symmetric Property

When you switch the order of two things that are congruent or…

commutative 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

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Postulate

Congruent Supplements Theorem

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

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

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

If two angles are supplementary to the same angle (or to two c…

Segment Addition Postulate

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

Angle Addition Postulate

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

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

Subtraction Property

Substitution Property

Reflexive Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

You can subtract EQUAL things from both sides of an EQUATION... "…

If two number are EQUAL, then they can be substituted for one…

Any number equals itself

Addition Property

You can add EQUAL things to both sides of an EQUATION... "If a =…

Subtraction Property

You can subtract EQUAL things from both sides of an EQUATION... "…

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

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…

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

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

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

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Adding the same number to both sides of an equation.

Subtracting the same number from both sides of an equation.

Multiplying the same number to both sides of an equation.

Dividing both sides of an equation by the same number.

Addition Property of Equality

Adding the same number to both sides of an equation.

Subtraction Property of Equality

Subtracting the same number from both sides of an equation.

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Reflexive Property of Congruence

If there is a quantity, then it is equal to itself

If a=b, then b=a

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

If there is a quantity, then it is congruent to itself

Reflexive Property of Equality

If there is a quantity, then it is equal to itself

Symmetric Property of Equality

If a=b, then b=a

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, then a/c=b/c (c cannot be 0)

addition property of equality

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

subtraction property of equality

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

Subtraction Postulate

Multiplication Postulate

Division Postulate

Substitution Postulate

If equal quantities are subtracted from equal quantities, the…

If equal quantities are multiplied by equal quantities, the pr…

If equal quantities are divided by equal nonzero quantities, t…

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

Subtraction Postulate

If equal quantities are subtracted from equal quantities, the…

Multiplication Postulate

If equal quantities are multiplied by equal quantities, the pr…

Segment Addition Postulate

Angle Addition Postulate

Postulate 5

Postulate 6

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

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

Through any two points there exists 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 angle RST, then the measure of angl…

Postulate 5

Postulate 6

Postulate 7

Postulate 8

A line contains at least two points; a plane contains at least…

Through any two points there is exactly one line.

Through any three points there is at least one plane, and thro…

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

Postulate 5

A line contains at least two points; a plane contains at least…

Postulate 6

Through any two points there is exactly one line.

Congruent Segments

Congruent Angles

Midpoint

Segment Bisector

line segments that have the same length.

angles that have the same length.

a point that divides the segment into congruent segments.

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

Congruent Segments

line segments that have the same length.

Congruent Angles

angles that have the same length.