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conclusion

converse

contrapositive

law of syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (not q -> not p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

Inductive Reasoning

Conjecture

Counterexample

Conditional Statement

It is used to draw a conclusion based on a pattern.

A statement that is believed to be true.

It is an example that proves a conjecture or statement is fal…

A statement written in if then form with a hypothesis and con…

Inductive Reasoning

It is used to draw a conclusion based on a pattern.

Conjecture

A statement that is believed to be true.

Venn diagram

locus

inductive reasoning

conjecture

A concept map of overlapping circles or ovals that shows the…

The set of all points that satisfy some given conditions.

The process of observing data, recognizing patterns, and maki…

A generalization resulting from inductive reasoning.

Venn diagram

A concept map of overlapping circles or ovals that shows the…

locus

The set of all points that satisfy some given conditions.

alternate interior angles

conjecture

line

proof by contradiction

inside the parallel lines, opposite sides of the transversal

An educated guess

A straight, unbroken set of points that goes on forever. It h…

a form of proof that establishes the truth or validity of a p…

alternate interior angles

inside the parallel lines, opposite sides of the transversal

conjecture

An educated guess

Line

Point

Plane

Space

A "straight" arrangement of an infinite set of points. A stra…

A basic unit of geometry used to represent position or locati…

A flat, two-dimensional surface that extends infinitely far.…

The set of all points.

Line

A "straight" arrangement of an infinite set of points. A stra…

Point

A basic unit of geometry used to represent position or locati…

counterexample

conjecture

conditional statement

hypothesis

Used to show that a conjecture is false.

a statement you believe to be true based on inductive reasoni…

a statement that can be written in the form "if p, then q"

the part p of a conditional statement following the word if.

counterexample

Used to show that a conjecture is false.

conjecture

a statement you believe to be true based on inductive reasoni…

conjecture

converse

counterexample

deductive reasoning

an educated guess about what will always be true

a statement formed by interchanging the hypothesis and conclu…

a false example that shows a conjecture is not always true

using rules of logic to reach a conclusion

conjecture

an educated guess about what will always be true

converse

a statement formed by interchanging the hypothesis and conclu…

Inductive Reasoning

Conjecture

Counter Example

Conditional Statement

The process of reasoning that a rule or statement is true bec…

A statement that is believed to be true

An example that proves a conjecture or statement false

A statement that can be written in the form "if p then q" whe…

Inductive Reasoning

The process of reasoning that a rule or statement is true bec…

Conjecture

A statement that is believed to be true

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

conclusion

converse

contrapositive

syllogism

"then" part of a conditional statement

switch the if and then of a conditional (q -> p)

negate and switch the if and then (~q -> ~p)

conclusion

"then" part of a conditional statement

converse

switch the if and then of a conditional (q -> p)

Conditional (p = hypothesis, q = concl…

Converse of conditional

Bioconditional

Law of Detachment

If p, then q... symbolic form p -> q

If q, then p... symbolic form q ->p

p if and only if q... symbolic form p <-->q

Given a true conditional p -> q: If p (hypothesis) is true, t…

Conditional (p = hypothesis, q = concl…

If p, then q... symbolic form p -> q

Converse of conditional

If q, then p... symbolic form q ->p

Angle Bisector

Adjacent Angles

Bisect

Bisector

A ray that divides an angle into two congruent angles

Two angles which share a vertex and a common side, but have n…

To divide a geometric figure into two congruent parts

The point, ray, line, or plane that bisects a figure

Angle Bisector

A ray that divides an angle into two congruent angles

Adjacent Angles

Two angles which share a vertex and a common side, but have n…

transversal

Angle 2 and Angle 7,... Angle 3 and Angle 6

Angle 1 and Angle 8,... Angle 5 and Angle 4

Angle 1 and Angle 3,... Angle 2 and Angle…

line that intersects two or more other lines in the plane

The horizontal lines are parallel. Identify the alternate int…

The horizontal lines are parallel. Identify the alternate ext…

The horizontal lines are parallel. Identify the corresponding…

transversal

line that intersects two or more other lines in the plane

Angle 2 and Angle 7,... Angle 3 and Angle 6

The horizontal lines are parallel. Identify the alternate int…

Conditional Statement

Converse

Inverse

Contrapositive

A logical statement written in "if-then" form.

Switch the "if and then".

The negation of the hypothesis and conclusion in the original…

The negation of the hypothesis and conclusion in the converse.

Conditional Statement

A logical statement written in "if-then" form.

Converse

Switch the "if and then".

Conditional statements

Conclusion

Conjecture

Contrapositive

If p, then q

The part that follows "then" in a conditional statement

a specific statement that is thought to be true but has not b…

Switching the hypothesis and conclusion of a conditional stat…

Conditional statements

If p, then q

Conclusion

The part that follows "then" in a conditional statement

alternate interior angles

area

base

complementary angles

angles that are located on alternate sides of the transversal…

the number of non-overlapping square units needed to cover a…

any side of a triangle to which a height is drawn

two angles whose sum is 90 degrees

alternate interior angles

angles that are located on alternate sides of the transversal…

area

the number of non-overlapping square units needed to cover a…

Biconditional

Conditional

Conjecture

Contrapositive

A true statement that combines a true conditional and its con…

If-then statement

A conclusion you reach using inductive reasoning.

Negate both the hypothesis (p) and the conclusion(q) of the c…

Biconditional

A true statement that combines a true conditional and its con…

Conditional

If-then statement

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

counterexample

inductive reasoning

truth value

an educated guess based on known information

an example that shows a conjecture is false. ... EXAMPLE: Someon…

looking at several specific situations to arrive at a conject…

the truth or falsity of a statement (T or F)

conjecture

an educated guess based on known information

counterexample

an example that shows a conjecture is false. ... EXAMPLE: Someon…

inductive reasoning

conjecture

counterexample

conditional statement

The process of reasoning that a rule or statement is true bec…

a statement you believe to be true based on inductive reasoning

the example that a conjecture is not true

a statement that can be written in the form "if **p**, then **q**"

inductive reasoning

The process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

an accepted statement of fact

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

an accepted statement of fact

conjecture

counterexample

inductive reasoning

truth value

an educated guess based on known information

an specific example that shows a conjecture is false.

looking at several specific situations to arrive at a conject…

the truth or falsity of a statement (T or F)

conjecture

an educated guess based on known information

counterexample

an specific example that shows a conjecture is false.

Conditional Statement

Hypothesis

Conclusion

Converse

A statement that can be written in the form "if p then q" whe…

The part of a conditional that follows "if" (p)

The part of a conditional that follows "then" (q)

The statement formed by exchanging the hypothesis and conclus…

Conditional Statement

A statement that can be written in the form "if p then q" whe…

Hypothesis

The part of a conditional that follows "if" (p)

The combination of a conditional state…

A statement formed by combining two or…

The part of an if-then statement (cond…

A statement that includes a hypothesis…

Biconditional

Compound Statement

Conclusion

Conditional

The combination of a conditional state…

Biconditional

A statement formed by combining two or…

Compound Statement

Inductive Reasoning

Conjecture

Function Rule

Linear Functions

The process of observing data, recognizing patterns, and maki…

A generalization made from inductive reasoning

The rule that gives the nth term of a sequence

Rules that generate a constant difference

Inductive Reasoning

The process of observing data, recognizing patterns, and maki…

Conjecture

A generalization made from inductive reasoning

inductive reasoning

conditional statement

hypothesis

conclusion

reasoning based on patterns you observe

if-then statement

"if" part of a conditional statement

"then" part of a conditional statement

inductive reasoning

reasoning based on patterns you observe

conditional statement

if-then statement

Biconditional

Compound statement

conclusion

conjecture

the combination of a conditional statement and its converse.…

combines two or more statements

the part of an if-then statement (conditional) that follows t…

a conclusion reached by using inductive reasoning

Biconditional

the combination of a conditional statement and its converse.…

Compound statement

combines two or more statements

conjecture

counterexample

deductive reasoning

inductive reasoning

a statement you believe to be true based on inductive reasoning

a drawing, statement, or number that shows that a conjecture…

the process of using logic to draw conclusions from given fac…

the process of reasoning that a rule or statement is true bec…

conjecture

a statement you believe to be true based on inductive reasoning

counterexample

a drawing, statement, or number that shows that a conjecture…

Conjecture

Inductive reasoning

Counterexample

Conditional statement

an unproven statement that is based on observations

finding a pattern in a specific case then writing a conjecture

specific case which the conjecture is false

logical statement that has two parts, "if" hypothesis and "th…

Conjecture

an unproven statement that is based on observations

Inductive reasoning

finding a pattern in a specific case then writing a conjecture

Inductive Reasoning:

Conjecture:

Counterexample:

Steps for Inductive Reasoning:

Process of reasoning that a rule or statement is true because…

A statement believed to be true based on inductive reasoning

Example that disproves a conjecture (can be a drawing, statem…

Look for a Pattern... Make a Conjecture... Prove the Conjecture or…

Inductive Reasoning:

Process of reasoning that a rule or statement is true because…

Conjecture:

A statement believed to be true based on inductive reasoning

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

A statement you believe to be true based on a pattern

Process of reasoning that a rule or statement is true because…

an example used to support a claim or statement that is the o…

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

Conjecture

A statement you believe to be true based on a pattern

Inductive Reasoning

Process of reasoning that a rule or statement is true because…

Condition

Conditional

Hypothesis

Conclusion

Something on which something else depends, a requirement

A statement in the form "If....then..."

The given or "if.... part of a conditional

The "then..." part of a conditional

Condition

Something on which something else depends, a requirement

Conditional

A statement in the form "If....then..."

Alternate Interior Angles

Area

Arrow Diagram

Base

Angles inside parallel lines and across a transversal that ar…

The number of square units inside a shape.

A picture of a conditional statement.

Meets the height at right angles.

Alternate Interior Angles

Angles inside parallel lines and across a transversal that ar…

Area

The number of square units inside a shape.

A→B and B→C... therefore A→C

Given: If X, then Y, and if Y, then Z.…

Angles in a plane that have their vert…

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

If-then transitive property

If-then transitive property

adjacent angles

addition property of equality

A→B and B→C... therefore A→C

If-then transitive property

Given: If X, then Y, and if Y, then Z.…

If-then transitive property

Perpendicular

Complementary Angles

Supplementary Angles

Property of Segment Addition

2 lines, rays, or segments that intersect forming a right ang…

2 angles whose measures sum to equal 90 degrees

2 angles whose measures sum to equal 180 degrees

if a segment is added to 2 congruent segments, the sums are c…

Perpendicular

2 lines, rays, or segments that intersect forming a right ang…

Complementary Angles

2 angles whose measures sum to equal 90 degrees

biconditional statement

conclusion

conditional statement

conjecture

A statement that can be written in the form "p if and only if…

the part of a conditional statement following the word then

a statement in the form, "If p, then q" where p is the hypoth…

a statement that is believed to be true

biconditional statement

A statement that can be written in the form "p if and only if…

conclusion

the part of a conditional statement following the word then

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

Vertical angles are conguent.

If two angles are supplements of the same angle or a congruen…

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

All right angles are congruent

Vertical Angles Theorem

Vertical angles are conguent.

Congruent Supplements Theorem

If two angles are supplements of the same angle or a congruen…

Conditional Statement

Converse

Inverse

Contrapositive

A logical statement written in "if-then" form.

Switch the "if and then".

The negation of the hypothesis and conclusion in the original…

The negation of the hypothesis and conclusion in the converse.

Conditional Statement

A logical statement written in "if-then" form.

Converse

Switch the "if and then".

counterexample

postulate

adjacent angles

complementary angles

an example that proves a statement false

a statement that describes a fundamental relationship between…

are a pair of angles with a common vertex and a common side,…

Two angles whose sum is 90 degrees

counterexample

an example that proves a statement false

postulate

a statement that describes a fundamental relationship between…

Inductive Reasoning

Deductive Reasoning

Proof

Conditional Statement

The process of forming conjectures that are based on observat…

The process used to get from a set of given facts to a conclu…

A convincing argument that something is true

An "If-then" statement

Inductive Reasoning

The process of forming conjectures that are based on observat…

Deductive Reasoning

The process used to get from a set of given facts to a conclu…

conjecture

inductive reasoning

counterexample

conditional statement

An unproven statement that is based on observations

A process that includes looking for patterns and making conje…

an example that proves a statement false

A statement that can be written in if-then form.... if p, then q

conjecture

An unproven statement that is based on observations

inductive reasoning

A process that includes looking for patterns and making conje…

biconditional statement

conclusion

conditional statement

conjecture

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

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

A logical statement that has a hypothesis and a conclusion

An unproven statement that is based on observations

biconditional statement

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

conclusion

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

Inductive Reasoning

Conditional Statement

Converse

Conjecture

A type of logic in which generalizations are based on a large…

A statement that can be written in the form ''if p, then q,''…

If q, then p

An unproven statement that is based on observations. (2.1)

Inductive Reasoning

A type of logic in which generalizations are based on a large…

Conditional Statement

A statement that can be written in the form ''if p, then q,''…

conjunction

negation

disconjunction

conditional statement

a compound statement formed by joining two or more statements…

a statement tht has the oppositie meaning and truth value of…

a compound statement formed by joining two or more statements…

An if-then statement that is of the form "if p, then q".

conjunction

a compound statement formed by joining two or more statements…

negation

a statement tht has the oppositie meaning and truth value of…

alternate exterior angles

alternate interior angles conjecture

corresponding angles conjecture

transversal

Angles that are on opposite sides of the transversal, but out…

Angles that are on opposite sides of the transversal, but ins…

Two parallel lines cut by a transversal create corresponding…

a line intersecting two or more parallel lines

alternate exterior angles

Angles that are on opposite sides of the transversal, but out…

alternate interior angles conjecture

Angles that are on opposite sides of the transversal, but ins…