# Study sets matching "chapter 2 geometry proofs"

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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

Theorem 2.1: Vertical Angles

Theorem 2.2: Congruent Supplements Theo…

Theorem 2.3: Congruent Complements Theo…

Theorem 2.4

vertical angles are congruent

if two angles are supplements of the same angle, then the two…

if two angles are complements of the same angle, then the two…

all right angles are congruent

Theorem 2.1: Vertical Angles

vertical angles are congruent

Theorem 2.2: Congruent Supplements Theo…

if two angles are supplements of the same angle, then the two…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

Through any two lines, there is exactly one point of intersect…

If two planes intersect they intersect at exactly one line

Through any three nonlinear points there is exactly one plane

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

Through any two lines, there is exactly one point of intersect…

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

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

Midpoint Theorem

Segment Addition Postulate

Reflexive Property

Symmetric Property

if m is the midpoint of AB, then AM is congruent to MB

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

AB is congruent to AB; angle ABC is congruent to ABC (can be u…

if AB is congruent to CD, then CD is congruent to AB

Midpoint Theorem

if m is the midpoint of AB, then AM is congruent to MB

Segment Addition Postulate

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

Conjecture

Inductive Reasoning

Counterexample

Deductive Reasoning

an educated guess based on known information

reasoning that uses a number of specific examples to arrive at…

specific case for which a conjecture is false

method using logic to draw conclusions based upon definitions,…

Conjecture

an educated guess based on known information

Inductive Reasoning

reasoning that uses a number of specific examples to arrive at…

Line postulate

Segment Addition postulate

Angle Addition postulate

Reflexive POE

Between any 2 points there's a line

If Q is between P and R, then PQ + QR = PR

If ray DF is in the interior of angle CDE, then the measure of…

a=a

Line postulate

Between any 2 points there's a line

Segment Addition postulate

If Q is between P and R, then PQ + QR = PR

congruent supplements theorem

definition of complementary angles

Vertical angles theorem

Congruent supplements theorem

If two angles are complementary to congruent angles, then the…

If two angles add up to 90 degrees, then they are complementary

Vertical angles are congruent

If two angles are supplementary to congruent angles, the the t…

congruent supplements theorem

If two angles are complementary to congruent angles, then the…

definition of complementary angles

If two angles add up to 90 degrees, then they are complementary

Proof

Hypothesis

Conclusion

Converse

If/Then statement, with a hypothesis and conclusion. ... Ex: If…

"if" part of a proof... Ex: dog has a leash

"then" part of a proof... Ex: it has an owner

Statement opposite of proof statement. Can usually tell if a p…

Proof

If/Then statement, with a hypothesis and conclusion. ... Ex: If…

Hypothesis

"if" part of a proof... Ex: dog has a leash

midpoint theorem

segment addition postulate

reflexive property

symmetric property

If m is the midpoint of line AB the line AM is congruent to li…

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

line AB is congruent to AB

if line AB is congruent to line CD then line CD is congruent t…

midpoint theorem

If m is the midpoint of line AB the line AM is congruent to li…

segment addition postulate

If B is between 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 ac=bc

if a=b and c doesn't = 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

Vertical angles congruence theorem

Congruent supplements theorem

Linear pair postulate

Right angle congruence theorem

Angle 1 is congruent to angle 2 and angle 2 is congruent to an…

If angle 1 and angle 2 are supplementray and angle 2 and angle…

If two angles form a linear pair (180 line), then they are sup…

All right angles are congruent

Vertical angles congruence theorem

Angle 1 is congruent to angle 2 and angle 2 is congruent to an…

Congruent supplements theorem

If angle 1 and angle 2 are supplementray and angle 2 and angle…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

Through any two lines, there is exactly one point of intersect…

If two planes intersect they intersect at exactly one line

Through any three nonlinear points there is exactly one plane

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

Through any two lines, there is exactly one point of intersect…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a=b, then a+c=b+c... When you add something to both sides of a…

If a=b, then a-c=b-c... When you subtract something from both sid…

If a=b, then ac=bc... When you multiply both sides of an equation…

If a=b and c≠0, then a/c=b/c... When you divide both sides of an…

Addition Property of Equality

If a=b, then a+c=b+c... When you add something to both sides of a…

Subtraction Property of Equality

If a=b, then a-c=b-c... When you subtract something from both sid…

flowchart proof

paragraph proof

Common Segments Theorem

Vertical Angles Theorem

uses boxes and arrows to show the structure of the proff

presents the steps of a proof and their matching reasons as se…

vertical angles are congruent

flowchart proof

uses boxes and arrows to show the structure of the proff

paragraph proof

presents the steps of a proof and their matching reasons as se…

Conditional Statement

If-then Form

Hypothesis

Conclusion

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

The form of a conditional statement that uses the words "if" a…

The "if" part of a conditional statement written in if-then fo…

The "then" part of a conditional statement written in if-then…

Conditional Statement

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

If-then Form

The form of a conditional statement that uses the words "if" a…

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 ... then a/c=b/c ... (iif c does not equal 0)

Addition property

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

Subtraction property

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

Perpendicular Lines

Biconditional Statement

Two Point Postulate

Line-Point Postulate

Lines that intersect to form right angles.

A statement that contains the phrase "if and only it".

Through any two points, there exists exactly one line.

A line contains at least two points.

Perpendicular Lines

Lines that intersect to form right angles.

Biconditional Statement

A statement that contains the phrase "if and only it".

Converse

Negation

Inverse

Contrapositive

Formed by switching the hypothesis and conclusion of a conditi…

Is the denial of a statement (add the word "not"). A statement…

Formed by negating both the hypothesis and conclusion of a con…

Formed by negating and switching the hypothesis and conclusion…

Converse

Formed by switching the hypothesis and conclusion of a conditi…

Negation

Is the denial of a statement (add the word "not"). A statement…

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 DOES NOT =, 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