# 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

Inductive reasoning

Conjecture

Counterexample

Negation

reasoning that uses a # of specific examples to arrive at a co…

a concluding statement (sentence) reached using inductive reas…

false example or and example that shows a conjecture is not tr…

of a sentence has the opposite meaning and opposite truth valu…

Inductive reasoning

reasoning that uses a # of specific examples to arrive at a co…

Conjecture

a concluding statement (sentence) reached using inductive reas…

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

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…

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

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…

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

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

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

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…

Reflexive Property

Symmetric Property

communitive property

Transitive Property

any segment or angle is congruent to itself ... a=a

Swapping the equal sign. If 5+3=8, then 8=5+3

5+3=3+5

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

Reflexive Property

any segment or angle is congruent to itself ... a=a

Symmetric Property

Swapping the equal sign. If 5+3=8, then 8=5+3

Proof

What is the most important part of writ…

Addition Property of Equality

Subtraction Property of Equality

An argument that uses logic, definitions, properties, and prev…

Giving justification to show that every step is valid

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

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

Proof

An argument that uses logic, definitions, properties, and prev…

What is the most important part of writ…

Giving justification to show that every step is valid

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

Conditional statement

Conditional

Converse

Inverse

A statement that can be written in if-then form. ... (P then q)

If an angle is right, then it is 90 degrees

If an angle is right, then it is 90 degrees

If an angle is not 90 degrees, then it is not a right angle

Conditional statement

A statement that can be written in if-then form. ... (P then q)

Conditional

If an angle is right, then it is 90 degrees

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…

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

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…

if-then statements

converse of a conditional

counterexample

biconditional

conditional statements

interchanges the hypothesis and the conclusion

words or diagram that prove an if-then statement is false

conditional and its converse are both true

if-then statements

conditional statements

converse of a conditional

interchanges the hypothesis and the conclusion

segment addition postulate

Definition of a midpoint

definition of segment bisector

definition of congruent segments

(P) IF B is between A and C, THEN AB+BC=AC

(D) IF P is the midpoint of segment AB THEN segment AP≅ segmen…

(D) line, segment, or ray that intersects the segment at its m…

(D) IF segment DE≅segment FG THEN DE=FG

segment addition postulate

(P) IF B is between A and C, THEN AB+BC=AC

Definition of a midpoint

(D) IF P is the midpoint of segment AB THEN segment AP≅ segmen…