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Study sets matching "chapter 2 geometry proofs"

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Study sets matching "chapter 2 geometry proofs"

20 terms
Geometry Proofs chapter 2
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
49 terms
Geometry Chapter 2: Reasoning and Proofs
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a co…
The form of a conditional statement that uses the words "if"…
The "if" part of a conditional statement written in if-then f…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then Form
The form of a conditional statement that uses the words "if"…
50 terms
Geometry Chapter 2: Proofs
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 intersec…
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 intersec…
39 terms
Geometry Chapter 2 Proofs
Conjecture
Inductive Reasoning
Counterexample
Deductive Reasoning
an educated guess based on known information
reasoning that uses a number of specific examples to arrive a…
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 a…
20 terms
Geometry Proofs chapter 2
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
20 terms
Geometry Proofs chapter 2
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
22 terms
Geometry Proofs (chapter 2)
Verticle angles are...
Right angles are...
Linear pairs are...
Angle addition postulate
Congruent
Congruent
Supplementary
When two angles are added together
Verticle angles are...
Congruent
Right angles are...
Congruent
9 terms
Geometry Proofs Chapter 2
Addition property
Subtraction Property
Multiplication Property
Division Property
If a=b, then a + b=b+a
If a=b then a-b=b-a
If a=b then a•b=b•a
If a=b and c£0 then a/c= b/c
Addition property
If a=b, then a + b=b+a
Subtraction Property
If a=b then a-b=b-a
16 terms
geometry chapter 2 proofs
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…
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
52 terms
Geometry Chapter 2 - Proofs
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 o…
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
Geometry, Chapter 2.7, Flowchart and Paragraph Proofs
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 s…
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 s…
19 terms
Geometry Chapter 2: Proofs
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…
Proof
If/Then statement, with a hypothesis and conclusion. ... Ex: If…
Hypothesis
"if" part of a proof... Ex: dog has a leash
20 terms
Chapter 2 geometry proofs
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 a…
If angle 1 and angle 2 are supplementray and angle 2 and angl…
If two angles form a linear pair (180 line), then they are su…
All right angles are congruent
Vertical angles congruence theorem
Angle 1 is congruent to angle 2 and angle 2 is congruent to a…
Congruent supplements theorem
If angle 1 and angle 2 are supplementray and angle 2 and angl…
27 terms
Geometry: Chapter 2 Proofs
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
50 terms
Geometry Chapter 2: Proofs
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 intersec…
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 intersec…
28 terms
Geometry--Chapter 2 Proofs Vocab
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…
If a=b, then a-c=b-c... When you subtract something from both si…
If a=b, then ac=bc... When you multiply both sides of an equatio…
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…
Subtraction Property of Equality
If a=b, then a-c=b-c... When you subtract something from both si…
17 terms
Chapter 2 Amsco Geometry Proofs Vocabulary
Addition property
Subtraction property
Multiplication property
Division property
If a=b then a+c=b+c
a=b then a-c=b-c
a=b then ac=bc
If a=b and c not equal to 0, then a/c=b/c
Addition property
If a=b then a+c=b+c
Subtraction property
a=b then a-c=b-c
49 terms
Geometry Chapter 2: Reasoning and Proofs
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a co…
The form of a conditional statement that uses the words "if"…
The "if" part of a conditional statement written in if-then f…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then Form
The form of a conditional statement that uses the words "if"…
13 terms
Geometry Chapter 2: Angle Proofs
Reflexive Property
Symmetric Property
Transitive Property
Substitution Property
A=A, 1=1
if ABC=DBC then DBC=ABC
if A=B and B=C then A=C
plugging in and combining like terms; ... if a+a=16 then 2a=16
Reflexive Property
A=A, 1=1
Symmetric Property
if ABC=DBC then DBC=ABC
38 terms
Geometry Chapter 2 postulates and proofs
Commutative
Associative
Identity
Inverse
Addition: a plus b equals b plus a... Mult: a times b equals b t…
Addition: a plus (b plus c) equals (a plus b) plus c... Mult: a…
Add: a plus 0 equals a... Mult: a times 1 equals a
Add: A plus negative a equals zero... Mult: a times 1/a equals 1
Commutative
Addition: a plus b equals b plus a... Mult: a times b equals b t…
Associative
Addition: a plus (b plus c) equals (a plus b) plus c... Mult: a…
36 terms
Geometry Chapter 2: Reasoning and Proofs
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".
22 terms
Geometry- Chapter 2 (Proofs)
Converse
Negation
Inverse
Contrapositive
Formed by switching the hypothesis and conclusion of a condit…
Is the denial of a statement (add the word "not"). A statemen…
Formed by negating both the hypothesis and conclusion of a co…
Formed by negating and switching the hypothesis and conclusio…
Converse
Formed by switching the hypothesis and conclusion of a condit…
Negation
Is the denial of a statement (add the word "not"). A statemen…
10 terms
Algebraic Proofs (Geometry Chapter 2)
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
18 terms
Geometry Vocab Chapter 2: Proofs
Biconditional Statement
Conclusion
Conditional statement
Conjecture
A statement that can be written in the fom "p iff q"
The "then" part of a conditional statement
A statement that can be written as "if p then q" where p is t…
A statemnet that is believed to be true
Biconditional Statement
A statement that can be written in the fom "p iff q"
Conclusion
The "then" part of a conditional statement
35 terms
Geometry- Chapter 2: Basics of Geometry and Readings and Proofs
Congruent Segments
Congruent Angles
Midpoint
Angle Bisector
line segments that have the same length.
angles with the same measure
the point that divides the segment into two congruent segments
a ray that divides the angle into two congruent segments
Congruent Segments
line segments that have the same length.
Congruent Angles
angles with the same measure
28 terms
Geometry- Chapter 2: Basics of Geometry and Readings and Proofs
Congruent Segments
Congruent Angles
Midpoint
Angle Bisector
line segments that have the same length.
angles with the same measure
the point that divides the segment into two congruent segments
a ray that divides the angle into two congruent segments
Congruent Segments
line segments that have the same length.
Congruent Angles
angles with the same measure
chapter 2 geometry proofs and postulates
proof
addition property of equality
subtraction property of equality
multiplication property of equality
an argument that uses logic, definition, properties/ postulat…
if A = B, then A+C = B+C
if A = B, then A-C = B-C
if A = B, then AC = BC
proof
an argument that uses logic, definition, properties/ postulat…
addition property of equality
if A = B, then A+C = B+C
28 terms
Geometry: Chapter 2 - Reasoning and Proof
conjecture
implications
statement
vertical angle Th
a conclusion you reach using inductive reasoning; educated gu…
Original:p--->q... Converse: q--->p... Inverse: ~p--->~q... Contraposi…
a sentence that's either true or false
vertical angles are congruent
conjecture
a conclusion you reach using inductive reasoning; educated gu…
implications
Original:p--->q... Converse: q--->p... Inverse: ~p--->~q... Contraposi…
49 terms
Geometry Chapter 2: Reasoning and Proofs
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a co…
The form of a conditional statement that uses the words "if"…
The "if" part of a conditional statement written in if-then f…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then Form
The form of a conditional statement that uses the words "if"…
Geometry, Chapter 2.5, Algebraic Proof
proof
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
an argument that uses logic, definitions, properties, and pre…
proof
an argument that uses logic, definitions, properties, and pre…
Addition Property of Equality
Math chapter 2 geometry proofs
Given, to prove, figure, statements, r…
Given, figure, previous statements
Congruent
Congruent segments
5 parts to a deductive proof
Three sources of statements
Two objects that have the same size and shape
Segments that have equal lengths
Given, to prove, figure, statements, r…
5 parts to a deductive proof
Given, figure, previous statements
Three sources of statements
22 terms
Geometry Chapter 2 reasons for proofs
Segment addition postulate
Angle addition postulate
Addition property of equality
Subtraction property of =
If B is between A and C, then AB + BC=AC
If p is in the interior of <RST, then the measure of <RST = <…
If a=b, then a+c=b+c
If a=b then a-c=b-c
Segment addition postulate
If B is between A and C, then AB + BC=AC
Angle addition postulate
If p is in the interior of <RST, then the measure of <RST = <…
17 terms
Geometry Chapter 2 Geometric Proofs
Ruler Postulate
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
The point on a line can be put into a one to one corresponden…
If B is between A and C, then AB + BC = AC.
Given ↔AB and a point O on ↔AB, all rays that can be drawn fr…
If S is in the interior of ∠PQR, then m∠PQS + m∠SQR = m∠PQR.
Ruler Postulate
The point 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.
49 terms
Geometry Chapter 2: Reasoning and Proofs
Conditional Statement
If-then Form
Hypothesis
Conclusion
A logical statement that has two parts, a hypothesis and a co…
The form of a conditional statement that uses the words "if"…
The "if" part of a conditional statement written in if-then f…
The "then" part of a conditional statement written in if-then…
Conditional Statement
A logical statement that has two parts, a hypothesis and a co…
If-then Form
The form of a conditional statement that uses the words "if"…
12 terms
Geometry- Chapter 2- Conditionals and Proofs
Converse
Inverse
Contrapositive
Biconditional Statement
Exchange the hypothesis and the conclusion... p=>q / q=>p
Negate the hypothesis and conclusion of the conditional... p=>q…
first write the converse, then negate the hypothesis and the…
contains the phrase "if and only if". Can be read forwards an…
Converse
Exchange the hypothesis and the conclusion... p=>q / q=>p
Inverse
Negate the hypothesis and conclusion of the conditional... p=>q…
19 terms
Geometry: Chapter 2 Reasoning and proofs
inductive reasoning
counterexample
law of detachment
law of syllogism
examining several specific situations to a mile at a conjecture
proves that a conjecture is false (just one is needed)
if p->q is true, then p is true and q is true
if p->q and q->r are true then p->r is also true (conclusion…
inductive reasoning
examining several specific situations to a mile at a conjecture
counterexample
proves that a conjecture is false (just one is needed)
30 terms
Geometry Chapter 2 proofs flashcards Flashcards
AAP
def. of angle bisector
SAP
Def. of midpoint
Given: Picture... measure or angle 1 + measure of angle 2= measu…
Given:Ray BX bisects angle ABC... Conclusion: measure or angle 1…
G: B is the midpoint of AC̅̅̅̅... C: AB = BC (AB̅̅̅̅ ≅ BC̅̅̅̅)
AAP
Given: Picture... measure or angle 1 + measure of angle 2= measu…
def. of angle bisector
Given:Ray BX bisects angle ABC... Conclusion: measure or angle 1…
20 terms
Geometry Chapter 2 proofs and reasoning
biconditional
conclusion
conditional
conjecture
a statement that is the combination of a conditional statemen…
the part of an if-then statement (conditional) that follows t…
an if-then statement
a conclusion reached by using inductive reasoning
biconditional
a statement that is the combination of a conditional statemen…
conclusion
the part of an if-then statement (conditional) that follows t…
37 terms
Geometry Chapter 2, Proofs and Logic
Inductive reasoning
Deductive reasoning
Statement
Truth value
Observing data
Process of demonstrating certain statements
Saying something is true or false
Either true or false
Inductive reasoning
Observing data
Deductive reasoning
Process of demonstrating certain statements
31 terms
Geometry: Chapter 2 - Reasoning and Proofs
congruent segments
congruent angles
right angle
linear pair
If segments are congruent, then they have the same measure.
If angles are congruent, then they have the same measure.
If an angle has a measure of 90 degrees, then it is a right a…
If angles are adjacent angles and are formed by opposite rays…
congruent segments
If segments are congruent, then they have the same measure.
congruent angles
If angles are congruent, then they have the same measure.
22 terms
Geometry Proofs Ch 2
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
10 terms
Geometry Chapter 2.5- 2.6 Proofs
symmetric property (of congruence)
reflexive property (of congruence)
transitive property (of congruence)
segment addition postulate
if a=b then b=a
of a=a then a=a
of a=b and b=c then a=c
if b is between a and c, then ab + bc= ac
symmetric property (of congruence)
if a=b then b=a
reflexive property (of congruence)
of a=a then a=a
38 terms
Geometry Chapter 2: Reasoning and Proof
conjecture
inductive reasoning
counterexample
conditional statement
an unproven statement that is based on observations
used when you find a pattern and then write a conjecture
a specific case when a conjecture is false
a logical statement that has 2 parts: a hypothesis and a conc…
conjecture
an unproven statement that is based on observations
inductive reasoning
used when you find a pattern and then write a conjecture
27 terms
Geometry Chapter 2: Reasoning & Proof
Law of Detachment
Law of Syllogism
Vertical Angles Theorem
Congruent Supplements Theorem
if p --> q is true and p is true, them q is true. If the hypo…
if p --> q is true and q --> r is true, then p --> r is true
Vertical angles are congruent
If two angles are supplements of the same angle, then the two…
Law of Detachment
if p --> q is true and p is true, them q is true. If the hypo…
Law of Syllogism
if p --> q is true and q --> r is true, then p --> r is true
Chapter 2- Geometry (Conditionals, Proofs, Postulates)
an if-then statement is a...
the "P" in a conditional (if-then) sta…
the "Q" in a conditional (if-then) sta…
a logical statement that has two parts…
conditional
hypothesis
conclusion
conditional statement
an if-then statement is a...
conditional
the "P" in a conditional (if-then) sta…
hypothesis
19 terms
Geometry - Ch 2 Part 2 Reasons in Proofs
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 does not = 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
59 terms
Geometry Chapter 2: Reasoning and Proof
inductive reasoning
conjecture
statement
truth value
making a conclusion based on patterns and observations
a concluding statement reached using inductive reasoning
a sentence that is either true or false, represented using le…
whether a statement is true or false
inductive reasoning
making a conclusion based on patterns and observations
conjecture
a concluding statement reached using inductive reasoning
30 terms
Geometry - chapter 2 (Reasoning and Proof) vocabulary
inductive reasoning
conjecture
counterexample
figural numbers
reasoning that uses a number of specific examples to arrive a…
a concluding statement reached using inductive reasoning
a false example
numbers that can be represented by evenly spaced points arran…
inductive reasoning
reasoning that uses a number of specific examples to arrive a…
conjecture
a concluding statement reached using inductive reasoning
21 terms
proofs for geometry chapter 2 quiz
conditional statements
converse statements
inverse statements
contrapositive statements
a logical if-then statement
switch the hypothesis and conclusion of a conditional statement
negate the hypothesis and conclusion of the original conditio…
switch and negate the hypothesis and conclusion of the origin…
conditional statements
a logical if-then statement
converse statements
switch the hypothesis and conclusion of a conditional statement
Geometry Chapter 2- reasoning and proof
Conjecture
Inductive reasoning
Deductive reasoning
Counterexample
An unproven statement that is based on observations
When you find a pattern in a specific cases and then write a…
When you use facts and laws for a general case
Is a specific case for which the conjecture is false
Conjecture
An unproven statement that is based on observations
Inductive reasoning
When you find a pattern in a specific cases and then write a…
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