# Study sets matching "geometry proofs postulates theorems"

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Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

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 is ALMOST equal to

Addition Property of Equality

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

Subtraction Property of Equality

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

Segment Addition postulate

Angle Addition postulate

Linear Pair postulate

Definition of Congruence

If M is between A and B, then AM+MB=AB.

If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.

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

If measures are equal, then parts are congruent.

Segment Addition postulate

If M is between A and B, then AM+MB=AB.

Angle Addition postulate

If C is in the interior of ABD, then m<ABC+m<CBD=m<ABD.

addition property of equality

subtraction property of equality

multiplication property of equality

division property of equality

if a=b then a+c= b+c... you can add something to both sides of an…

if a=b then a-c= b-c... you can subtract something from both side…

if a=b then a x c = b x c... you can multiply both sides of an eq…

if a=b then a/c= b/c... you can divide both side of an equation b…

addition property of equality

if a=b then a+c= b+c... you can add something to both sides of an…

subtraction property of equality

if a=b then a-c= b-c... you can subtract something from both side…

segment addition postulate (SAP)

angle addition postulate (AAP)

addition property of equality

subtraction property of equality

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

Angles can be added together if they are adjacent

Adding a value to each side of an equation... if a=b, then a+c=b+c

subtracting a value from each side of an equation ... if a=b then…

segment addition postulate (SAP)

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

angle addition postulate (AAP)

Angles can be added together if they are adjacent

Ruler Postulate

Segment Addition Postulate

Protector Postulate

Angle Addition Postulate

AB = distance between endpoints

AB+BC=AC if B is between A and C

Ruler Postulate for Angles

Segment Addition Postulate for Angles

Ruler Postulate

AB = distance between endpoints

Segment Addition Postulate

AB+BC=AC if B is between A and C

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

If two angles have the same measurement…

If the angles are congruent two angles…

If a point, X, is in the interior of <A…

segment addition postulate

definition of congruent angles

definition of congruent angles

angle addition postulate

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

segment addition postulate

If two angles have the same measurement…

definition of congruent angles

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

segment addition postulate

Def: Midpoint of a segment

Def: Bisector of a segment

angle addition postulate

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

The point that divides the segment into two congruent segments

A line, segment, ray, or plane that intersects the segment at…

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

segment addition postulate

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

Def: Midpoint of a segment

The point that divides the segment into two congruent segments

segment addition postulate

reflexive property of congruence

symmetric property of congruence

Transitive property of congruence

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

segment AB is congruent to segment AB

if segment AB is congruent to segment CD, the segment CD is co…

if segment AB is congruent to segment CD and CD is congruent t…

segment addition postulate

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

reflexive property of congruence

segment AB is congruent to segment AB

Slopes of parallel lines

Parallel Postulate

Slopes of Perpendicular Lines

Symmetric Property

If 2 nonvertical lines are parallel then their slopes are equa…

Through a point not on a line, there is ONLY ONE parallel to t…

If 2 nonvertical lines are perpendicular, then the product of…

If a=b then b=a

Slopes of parallel lines

If 2 nonvertical lines are parallel then their slopes are equa…

Parallel Postulate

Through a point not on a line, there is ONLY ONE parallel to t…

Triangle Angle-Sum Theorem

Exterior angle Theorem

Triangle Angle Sum Corollaries

Definition of Congruent Polygons

The sum of the measures of the angles of a triangle is 180

The measure of an exterior angle of a triangle is equal to the…

The acute angles of a right triangle are complementary... There c…

Two polygons are congruent if and only if their corresponding…

Triangle Angle-Sum Theorem

The sum of the measures of the angles of a triangle is 180

Exterior angle Theorem

The measure of an exterior angle of a triangle is equal to the…

Corresponding Angle Postulate

Alternate Interior Angle Postulate

Alternate Exterior Angle Postulate

Same-Side Consecutive Interior Angles T…

If 2 // lines are cut by a transversal then the corresponding…

If 2 // lines are cut by a transversal then all alternate inte…

If 2 angles are cut by a transversal then all alternate exteri…

If 2 parallel lines are cut by a transversal then same side in…

Corresponding Angle Postulate

If 2 // lines are cut by a transversal then the corresponding…

Alternate Interior Angle Postulate

If 2 // lines are cut by a transversal then all alternate inte…

Postulate or axion

Postulate 2.1

Postulate 2.2

Postulate 2.3

A statement that is accepted as true without proof

Through any two distinct points there exists only 1 line

Though any 2 distinct points there exists exactly 1 plane

A line contains at least 2 points

Postulate or axion

A statement that is accepted as true without proof

Postulate 2.1

Through any two distinct points there exists only 1 line

Ruler Postulate

Protractor Postulate

Angle Addition Postulate

Segment Addition Postulate

On a number line, every point can be paired with a number and…

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

The angle addition postulate states that if B is in the interi…

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

Ruler Postulate

On a number line, every point can be paired with a number and…

Protractor Postulate

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

Segment Addition Postulate (SAP)

VAT

Linear Pair Thm

AAP

AB + BC = AC

Two angles are vertical iff their sides form opposite rays

Two adjacent angles form a linear pair iff their non-common si…

Angle Addition Postulate states that if a point S lies in the…

Segment Addition Postulate (SAP)

AB + BC = AC

VAT

Two angles are vertical iff their sides form opposite rays

Conditional Statement

Converse

Inverse

Contraposistive

A logical statement that has two parts; a hypothesis, and a co…

A conditional statement that switches the places of the hypoth…

When the hypothesis and conclusion of a conditional statement…

When the hypothesis and conclusion of a conditional statement…

Conditional Statement

A logical statement that has two parts; a hypothesis, and a co…

Converse

A conditional statement that switches the places of the hypoth…

segment addition postulate (SAP)

angle addition postulate (AAP)

addition property of equality

subtraction property of equality

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

Angles can be added together if they are adjacent

Adding a value to each side of an equation... if a=b, then a+c=b+c

subtracting a value from each side of an equation ... if a=b then…

segment addition postulate (SAP)

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

angle addition postulate (AAP)

Angles can be added together if they are adjacent

adjacent angles

liner pair

vertical angle

addition property of equality

share a common side and vertex

two adjacent angles that have a non common side and forms a li…

two non adjacent angles that are formed by two intersecting li…

if a, b and c are real numbers and a=b the a+c = b+c

adjacent angles

share a common side and vertex

liner pair

two adjacent angles that have a non common side and forms a li…

Postulate 2.1

Postulate 2.2

Postulate 2.3

Postulate 2.4

For every two points there is one line

Brought every three non collinear points there is one plane

For every line there are at least two points

Through every plain there are at least three points

Postulate 2.1

For every two points there is one line

Postulate 2.2

Brought every three non collinear points there is one plane

What is a postulate

Postulate: through any two points

Postulate: through any three no colline…

Postulate: two lines intersect in a

A statement that is accepted as true without proof

There is exactly one line

There is exactly one plane

Point (vertex)

What is a postulate

A statement that is accepted as true without proof

Postulate: through any two points

There is exactly one line

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b +a

ab = ba

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

(ab)c = a(bc)

commutative property of addition

a + b = b +a

commutative property of multiplication

ab = ba

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b +a

ab = ba

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

(ab)c = a(bc)

commutative property of addition

a + b = b +a

commutative property of multiplication

ab = ba

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

a + b = b +a

ab = ba

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

(ab)c = a(bc)

commutative property of addition

a + b = b +a

commutative property of multiplication

ab = ba